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From: <Saved by Blink>
Snapshot-Content-Location: https://chatgpt.com/c/a337b7f1-525f-440f-9f93-829902db3dda
Subject: Infragenomics
Date: Sat, 3 Aug 2024 11:20:07 -0300
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md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb2167a-b575-48fc-a82a-bf2d4acf45a0" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>Summarize: The Genomic Code: The genome instantiates a generative model of the organism
Kevin J. Mitchell1 and Nick Cheney2
1Institutes of Genetics and Neuroscience, Trinity College Dublin
2Department of Computer Science, University of Vermont
Abstract
How does the genome encode the form of the organism? What is the nature of this
genomic code? Common metaphors, such as a “blueprint” or “program”, fail to capture
the complex, indirect, and evolutionarily dynamic relationship between the genome and
organismal form, or the constructive, interactive processes that produce it. Such
metaphors are also not readily formalised, either to treat empirical data or to simulate
genomic encoding of form in silico. Here, we propose a new analogy, inspired by recent
work in machine learning and neuroscience: that the genome encodes a generative
model of the organism. In this scheme, by analogy with variational autoencoders, the
genome does not encode either organismal form or developmental processes directly,
but comprises a compressed space of “latent variables”. These latent variables are the
DNA sequences that specify the biochemical properties of encoded proteins and the
relative affinities between trans-acting regulatory factors and their target sequence
elements. Collectively, these comprise a connectionist network, with weights that get
encoded by the learning algorithm of evolution and decoded through the processes of
development. The latent variables collectively shape an energy landscape that
constrains the self-organising processes of development so as to reliably produce a
new individual of a certain type, providing a direct analogy to Waddington’s famous
epigenetic landscape. The generative model analogy accounts for the complex,
distributed genetic architecture of most traits and the emergent robustness and
evolvability of developmental processes. It also provides a new way to explain the
independent selectability of specific traits, drawing on the idea of multiplexed
disentangled representations observed in artificial and neural systems. Finally, it offers
a conception that lends itself to formalisation, both of empirical data from systems
biology and for simulation of artificial life in silico.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="8e626987-9577-4593-8023-8b5c8ec62194" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The article by Kevin J. Mitchell and Nick Cheney explores the complex relationship between the genome and the physical form of an organism, challenging traditional metaphors like "blueprint" or "program." They propose a new analogy comparing the genome to a generative model, similar to variational autoencoders in machine learning. In this model, the genome is not directly encoding the organism’s form or developmental processes, but rather it encompasses a set of latent variables represented by DNA sequences. These variables control the biochemical characteristics of proteins and their regulatory interactions, forming a network that evolves through natural selection and expresses itself during development. This network shapes an energy landscape that guides the self-organizing processes of development, akin to Waddington’s epigenetic landscape, ensuring the reliable production of an organism’s form. This approach helps explain the distribution of genetic traits, the robustness and adaptability of developmental processes, and provides a new framework for formalizing and simulating biological and artificial life processes.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r4v:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-4" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb212c4-03ea-4491-b123-f775d21638bc" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>Introduction: The genomic code
The fundamental phenomenon of genetics is that like begets like. Cats have kittens and
dogs have puppies. This is despite, in each case, new individuals starting out as a
single, undifferentiated cell – the fertilised egg, or zygote. The complex form of the
parents is thus not transmitted to their offspring – instead, it must be reconstructed in
each new individual. Clearly then, the zygotes of cats and dogs must contain some
substance – the genetic material – that is inherited from the parents, which somehow
directs the development of the growing organism so as to produce a new token of the
feline or canine type. The question is: how? What is the nature of this genomic encoding
of form?
Over the years, various metaphors have been used to conceptualise the nature of what
we will call the genomic code – i.e., how the genome specifies the form of an organism
(Keller 2020; Nijhout 1990). These include, among others, a codescript (Schrödinger
1944), blueprint (Plomin 2018), program (Keller 1999; Peluffo 2015), recipe (Mitchell
2018), or resource that the developing organism can draw on (Oyama 2000). One of the
most enduring of these, especially common in popular science treatments, is the idea
that the genome constitutes a “blueprint” of the organism (e.g., Plomin 2018). This
metaphor conveys the idea of a detailed but miniaturised plan that can in some way be
referred to, in order to direct the development or construction of a pre-specified final
product.
However, the metaphor quickly falls down in several ways (Pigliucci 2010). First, an
architectural or engineering blueprint is isomorphic with the desired product – that is,
distinct parts of the blueprint correspond directly and specifically to distinct parts of the
product. In this way, the blueprint concept is almost preformationist, with the genome
containing a direct mapping of the final product. Second, a blueprint does not usually
contain instructions on how to build the object in question – it only has information on
what it should look like when completed. This clearly leaves a major question
unanswered – how the processes of development are specified so as to yield the
desired outcome. And finally, a blueprint typically specifies an object in such detail as to
be effectively deterministic, leaving little room for the kind of variability in developmental
trajectories and outcomes that is typically observed, even in genetically identical
organisms raised in highly controlled, effectively identical environments (Vogt 2015).
An alternative metaphor is that of a “program” (Keller 1999; Peluffo 2015). In this view,
the genome does not contain endpoint information in the way that a blueprint does.
Instead, it encodes algorithmic information – a set of instructions or steps that will
reliably lead to the production of some outcome. This analogy was first introduced in 3
1961, separately, by evolutionary biologist Ernst Mayr (Mayr 1961) and by geneticists
Francois Jacob and Jacques Monod (Jacob and Monod 1961).</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="e029707c-6ced-4959-9434-2dc68c9036b3" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The introduction to "The Genomic Code" outlines the fundamental challenge in genetics: explaining how organisms reproduce forms similar to themselves starting from a single, undifferentiated cell. This section highlights the insufficiency of past metaphors used to describe the genomic process, such as "blueprint" or "program", which oversimplify the intricate mechanisms of genomic encoding.</p><p>The "blueprint" metaphor suggests a direct, deterministic map from the genome to the organism, akin to an architect's plan that specifies final details but lacks instructions for actual construction. This metaphor fails because it doesn't account for the indirect and variable nature of biological development, nor does it explain how developmental processes are directed.</p><p>In contrast, the "program" metaphor describes the genome as containing a set of instructions or an algorithm that guides the development of the organism, emphasizing a more dynamic and procedural understanding of genetic encoding. This analogy reflects a shift from a static to a more interactive and adaptable view of how genetic information influences developmental outcomes.</p><p>Overall, the introduction sets the stage for exploring more nuanced and technically apt models to conceptualize the genomic code, addressing the complex and emergent nature of genetic influence on organismal form.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r56:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-6" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21017-224c-4be0-922b-3583f2c6e078" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>For Mayr, it encapsulated and legitimised the teleological idea of purpose, or end-
directedness, as a fundamental principle in biology. A zygote undergoes a series of
developmental steps towards the end of producing a new individual of the species, and
the information specifying those steps must somehow be encoded in the genome. On a
mechanistic level, Jacob and Monod drew on their work on gene regulation in bacteria
to infer that differential regulation of gene expression might also underlie the
specification of the diverse cell types observed in multicellular organisms.
The “program” concept seems to better capture the emergent nature of the relationship
between genotype and phenotype. In particular, it encompasses the key idea that
whatever potentiality is encoded in the genome, it can only be realised through the
processes of development. Those developmental processes can be described as a
series of steps, occurring in a stereotyped order, directed towards some end. This
corresponds well with the traditional meaning of the word “program” as: “a set of related
measures or activities with a particular long-term aim” (Oxford Languages).
However, it is important to distinguish between the observed “developmental program”
and the supposed underlying “genetic program” (Keller 1999). The former term simply
describes the phenomenon that needs explaining – the observable steps of
embryogenesis leading to a species-typical outcome. The latter term purports to provide
the necessary explanation – the means by which the developmental program is
encoded.
But the word “program” also carries some unsupported connotations. Regarding the
means by which the steps of development are encoded, “program” is in modern times
also defined as: “a series of coded software instructions to control the operation of a
computer or other machine” (Oxford Languages). The usage of the term “genetic
program” may thus seem to imply a regular, explicit, and interpretable set of
instructions, logically laid out and executed in series. As with a blueprint, it can be taken
as implying a kind of isomorphism, this time between elements of the genome and
elements of the developmental program. Moreover, it again suggests a kind of
algorithmic determinism, with all the details somehow spelled out in advance. Neither of
these properties is observed.
A variation on the “program” idea is that of a “recipe”, as used in baking, for example.
Here, you have some set of ingredients – material stuff that must be brought together –
as well as a set of instructions for how to do that. These preparatory steps themselves 4
are somewhat like a program, but once the baking starts, the way the system develops
is determined by the chemistry and physics at play. This naturally leads to more
variability in the precise outcome of development. No matter how detailed your recipe,
you can’t bake the same cake twice (Mitchell 2018). The outcome is not specified in full
detail, nor are the processes themselves. The recipe doesn’t need to encode all the
relevant chemistry and physics – those are just given. Instead, the conditions are just
set in such a way that the processes tend to happen in a robust and reproducible
fashion so as to reliably produce an acceptable outcome. For an organism, this would
mean landing within a viable phenotypic range.
The “recipe” notion thus avoids some of the deterministic, rigid connotations of a
“program”. It feels more organic. In particular, it appeals more to notions of self-
organisation, which offer a different perspective on where the information resides that
governs the emergence of the ultimate form of the developing organism.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="ab07e42f-434b-4bc4-8089-7a09b14c2305" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The text explores the evolution of metaphors used to describe how genetic information influences development, specifically contrasting the metaphors of "program" and "recipe" in relation to their suitability in explaining biological processes.</p><p><strong>"Program" Metaphor:</strong></p><ul><li><strong>Origin</strong>: Popularized by Ernst Mayr, François Jacob, and Jacques Monod, the "program" metaphor suggests that a zygote follows a pre-determined set of instructions encoded in the genome to develop into an organism.</li><li><strong>Mechanism</strong>: It incorporates the idea of gene regulation mechanisms that guide the formation of various cell types in multicellular organisms, reflecting a series of developmental steps directed towards a specific end.</li><li><strong>Critique</strong>: While the metaphor captures the sequential and directed nature of development, it also implies an overly deterministic and precise control that does not align with the actual variability and adaptability observed in biological development. It suggests a rigid, logical sequence of instructions, akin to computer programming, which may not accurately reflect the fluid and emergent properties of genetic expression.</li></ul><p><strong>"Recipe" Metaphor:</strong></p><ul><li><strong>Description</strong>: Proposed as an alternative to the "program," the "recipe" metaphor likens genetic processes to cooking, where ingredients (genetic materials) are combined under certain conditions to produce an outcome.</li><li><strong>Dynamics</strong>: Unlike a strict program, a recipe allows for variability and is contingent on the interactions between ingredients, akin to the interactions in biological processes. This metaphor better accommodates the emergent and self-organizing nature of development, emphasizing conditions and interactions over strict instructions.</li><li><strong>Advantage</strong>: It avoids the deterministic implications of the "program" and suggests a more flexible and realistic view of how genetic and environmental factors interact to produce a phenotype.</li></ul><p>Overall, these discussions highlight the need for metaphors that more accurately reflect the complexity, flexibility, and emergent properties of genetic development, moving beyond the simplistic and deterministic views often implied by terms like "program." The "recipe" metaphor emerges as a more fitting analogy, offering a perspective that recognizes the inherent variability and complexity in biological development.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r5d:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-8" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21d7a-d2b0-472e-9253-9cd6992824d8" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>This jibes with some alternative perspectives, notably from Developmental Systems
Theory and aligned traditions, which view the genome not as a privileged store of
information that somehow actively directs the development of the organism, but as a
“resource” that the developing organism can draw on (Oyama 2000). In this scenario,
the genome does not have to encode the specifics of all the developmental processes
in a detailed program. It just has to set the conditions in a certain way and let the self-
organising nature of the cellular systems do most of the work. The sequence of the
genome can constrain the direction of self-organisation, but a lot of the informational
heavy lifting is offloaded to the developing system itself. This view is more ecumenical
and avoids the sense of the genome actively driving development. However, it remains
decidedly vague.
Indeed, none of these metaphors provides the means to formalise or operationalise the
role of the genome in the encoding of organismal forms. They are too vague to offer any
kind of theoretical foundation that could help us model empirically observed
developmental processes, including their evolution, or simulate such processes in
artificial systems.
Moreover, the current metaphors fail to provide any insights on these crucial questions: - How does information get encoded in the genome and what is this information
about? - What is the “data format” of this information in the genome? - How does such information get decoded through the processes of development? - How does genotypic variation relate to phenotypic variation? 5 - How does the genetic architecture of various traits arise? - How do the underlying encodings evolve through time?
Here we propose a new model inspired by work in artificial intelligence and
neuroscience: the genome as a generative model of the organism. This concept seems
to more aptly capture the relationships between genotypes and phenotypes, provides at
least broad answers to the questions above, and is readily formalisable.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="d5129957-c31d-451f-879e-88be6a570cf7" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The text elaborates on the limitations of traditional genetic metaphors and introduces a more nuanced perspective from Developmental Systems Theory. This theory reframes the role of the genome from being a directive force to acting more as a resource that supports the self-organizing processes of development. Here’s a breakdown:</p><p><strong>Developmental Systems Theory (DST)</strong>:</p><ul><li><strong>Genome as a Resource</strong>: Unlike the deterministic metaphors of a "program" or "blueprint," DST views the genome as one of many resources available to an organism during development. It suggests that while the genome provides certain initial conditions, much of the developmental process is driven by the dynamic, self-organizing interactions within cells and between the organism and its environment.</li><li><strong>Less Directive, More Facilitative</strong>: This perspective implies that the genome's role is not to rigidly direct development but to enable and constrain it, allowing the organism's own systems to shape its development actively.</li></ul><p><strong>Limitations of Current Metaphors</strong>:</p><ul><li><strong>Vagueness</strong>: Traditional metaphors are criticized for their inability to precisely and practically describe how genetic information influences developmental processes. They fail to capture the complex, interactive nature of genetics and development.</li><li><strong>Lack of Formalizability</strong>: These metaphors do not readily lend themselves to formalization or operationalization, making it challenging to model or simulate biological processes effectively.</li></ul><p><strong>Proposed New Model</strong>:</p><ul><li><strong>Generative Model Concept</strong>: Inspired by principles from artificial intelligence and neuroscience, the authors propose viewing the genome as a generative model of the organism. This model suggests that the genome helps to set up a framework within which development occurs, akin to how generative models in AI predict or simulate outcomes based on learned data.</li><li><strong>Advantages</strong>:<ul><li><strong>Better Integration of Genotype and Phenotype</strong>: This model more effectively links genetic codes to observable traits, addressing how genetic variations influence phenotypic outcomes.</li><li><strong>Operational Potential</strong>: It provides a conceptual foundation that could be more easily formalized and used in empirical research and simulations, offering clearer insights into the mechanisms of development and evolution.</li></ul></li></ul><p>This innovative approach aims to bridge the gap between genetic determinism and the emergent, interactive nature of development, providing a more robust and applicable framework for understanding the complex dynamics of life.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r5k:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-10" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21fec-29f0-4844-b6ad-538df31d2e10" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>The problem that the genome has to solve is to somehow embody a set of parameters
that will lead to the development of a new organism of the right sort from a fertilised
egg. In abstract terms, this is similar to the problem solved in machine learning by
“autoencoders”. These are neural networks that are trained to produce new instances of
text, images, or other data, which are similar, but not necessarily identical, to those from
a training distribution. If, for example, the autoencoder is trained on images of horses,
then it can output novel images that have the typical characteristics of horses.
This is achieved using a particular architecture of layers of artificial “neurons”. This
architecture comprises roughly two halves, firstly an input side – the encoder – which
parses input data through multiple layers, with progressively fewer units per layer, until it
reaches a central layer with the fewest units. This bottleneck forces a compression of
the information in the input data into a lower-dimensional “representation” (Bengio et al.
2013; Hinton 2007). The output side – the decoder – then reverses this process,
decompressing the information in such a way as to generate a new token of the relevant
type. The system is trained, in a self-supervised way, to minimise a loss function, which
is the distance of some mathematical characterisation of the generated object from the
objects in the training distribution.
The crucial element in this process is the compression into a low-dimensional
representation. This forces the system to learn the abstract statistical regularities that
define the type of object in question and to encode these abstract features in a space
with limited information capacity, in a way that can then be decoded (Bengio et al. 2013;
Shwartz Ziv and LeCun 2024). At the same time, the decoder has to learn the right
algorithms to decompress this information to generate a new token. In many cases, this
leads to an encoding in the compressed layer of “latent variables” that have little direct
relationship (i.e., no linear or independent mapping) to the features of the objects on
which the autoencoder has been trained. The system thus does not merely learn a low-
dimensional description of the features of the objects. Rather, it comes to instantiate a 6
generative model – an encoding of latent variables and the means of decoding them to
generate a new instance of the trained objects (Figure 1).
Figure 1. An analogy with variational autoencoders. VAEs learn a compressed representation of their
training data, leading to a generative model encoded in latent variable space, which can be decoded to
produce novel tokens of a learned type. By analogy, evolution acts as an encoder, leading to a
compressed representation in the genome (a generative model of the organism), which can be decoded
through the processes of development to produce a new individual of a given species.
This has obvious possible parallels to how information about the form of the organism is
encoded in the genome. First, the detailed three-dimensional structure of an adult
animal cannot simply be replicated. Instead, all that information is massively
compressed into just a single cell, with its single copy of the genetic material, from
which the pattern is re-produced. In this process, the genome comprises an information
bottleneck – it does not contain enough information, mathematically speaking, to specify
the number and position and type of every cell of the organism (Koulakov et al. 2021;
Oyama 2000).</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-11" 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11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="ae47b057-69d8-4c3f-87e8-af700c64d844" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The text draws an insightful analogy between genomic encoding and the function of autoencoders in machine learning, particularly focusing on how complex information is compressed and decoded.</p><p><strong>Key Points of the Autoencoder Analogy:</strong></p><ol><li><p><strong>Problem Statement</strong>: Both genomes and autoencoders address the challenge of generating an accurate output based on a set of parameters. For genomes, it's about developing an organism from a fertilized egg; for autoencoders, it's about reproducing data items (like images) that resemble the training set.</p></li><li><p><strong>Autoencoder Architecture</strong>: Autoencoders are structured in two main sections:</p><ul><li><strong>Encoder</strong>: This part processes the input data through multiple layers that decrease in size, leading to a bottleneck where data is compressed into a condensed, lower-dimensional representation.</li><li><strong>Decoder</strong>: The decoder takes this compressed data and reconstructs it into an output that closely resembles the original data, albeit with potential novel variations.</li></ul></li><li><p><strong>Compression and Learning</strong>: The bottleneck in an autoencoder is critical because it forces the system to learn the essential, abstract features of the data, represented as latent variables. These are not direct, simple mappings of the input but are abstracted characteristics that define the data type.</p></li><li><p><strong>Decoding and Generation</strong>: The decoder learns how to expand the compressed information back into detailed, usable forms. This process is analogous to how developmental processes decode genomic information to construct an organism.</p></li><li><p><strong>Genomic Analogy</strong>: In the context of genetics, evolution can be seen as the encoder, compressing detailed information about an organism into the genome. Development then acts as the decoder, using this compressed genetic information to guide the growth and formation of a new organism. This process involves translating and expanding the genomic "data" to reconstruct the organism’s physical form.</p></li><li><p><strong>Informational Constraints</strong>: Just as an autoencoder cannot store every detail about an input within its compressed layer, the genome cannot explicitly encode every single detail about an organism’s structure and function. Instead, it must rely on the broader developmental system to interpret and utilize this compressed information effectively during growth and development.</p></li></ol><p>This analogy highlights the sophistication of genomic encoding and the biological processes that interpret and utilize this information, suggesting a more dynamic and complex interaction between genetics and development than more simplistic models might imply. The comparison with machine learning tools like autoencoders offers a modern, more technologically nuanced perspective on the generative capabilities of the genome.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r5r:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-12" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb212d1-0f3c-489a-aa4d-c6515e900816" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>The genome does not contain direct endpoint information at all, in fact. In a sense, it
contains algorithmic information (Kolmogorov 1968) that governs how developmental
processes proceed (Hiesinger 2022; Nusslein-Volhard 2006). But even this is not
encoded directly or discretely, with distinct parts of the genome specifying instructions
for distinct developmental processes. Rather, this encoding is indirect, distributed, and
non-linear – the latent variables in the genome collectively constrain biochemical
interactions such that certain cellular and developmental processes tend to occur in
certain ways (Alberch 1991; Goodwin 1985; Jaeger and Monk 2014; Pigliucci 2010). 7
An additional important element of some autoencoders – called variational
autoencoders – is that they do not encode latent variables as specific values but rather
as probability distributions (Kingma and Welling 2013; 2019). The decoder is trained to
produce a sensible output by sampling from these distributions, thus necessarily
producing new tokens that vary idiosyncratically in their details, while still conforming to
the abstract type (such as a “horse”). There is a clear correspondence to natural
systems, which must buffer noisy molecular processes or genetic variation so as to still
produce viable and potentially reproductively fit offspring (Eldar and Elowitz, 2010; Vogt
2015). This property relates to robustness and evolvability (Vogt 2015; Wagner 2013),
as we discuss below.
In the rest of this paper, we explore the elements and implications of this model.
What are the latent variables in the genome?
The most obvious thing that is encoded in the genome is the sequence of proteins. The
deciphering in the 1960s of “the genetic code” that relates the sequences of DNA bases
to the sequences of amino acids in the corresponding proteins was a scientific triumph
that set the stage for the rise of molecular biology (Nirenberg et al. 1963). This code is
linear and direct and means that each gene (i.e., each protein-coding “transcription
unit”, in molecular biology terms) is, literally, a kind of blueprint for a specific protein.
However, the deciphering of the genetic code for proteins did not by itself reveal how
the genome as a whole codes for the form of an organism. The sequences of the
proteins themselves are only part of the picture.
Equally important (or perhaps more so) are the sequences that encode how those
proteins are expressed. This “code” is far less regular and discrete. It is not just a linear
text that can be directly translated with fixed, universal rules into another linear text – it
is not a cipher at all, in fact. It is, rather, part of a dynamic control system with
combinatorial, contextual dynamics that allows cells to regulate their own biochemistry
under many different conditions. In multicellular organisms, this includes making
different cell types in different parts of the organism, thus constraining the processes of
development and morphogenesis that shape its ultimate form. There are thus several
questions to ask: (i) how is the regulation of expression of specific genes encoded?; (ii)
how is this coordinated across the genome in each cell?; and (iii) how do interactions
between the resultant cell types ultimately lead to the emergence of species-typical
forms?</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-13" data-scroll-anchor="false"><div 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6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="164f8af3-8201-4735-b7e7-669bc9342f78" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>The passage provides a detailed insight into how the genome operates more like a complex, dynamic system rather than a simple, static repository of direct instructions. Here's a breakdown of the key concepts discussed:</p><p><strong>1. Algorithmic Nature of Genomic Information:</strong></p><ul><li>The genome contains algorithmic information as described by Kolmogorov, governing developmental processes in a non-direct, distributed, and non-linear manner. This implies that the genome doesn't straightforwardly dictate development but sets up a framework within which processes can unfold based on environmental interactions and internal dynamics.</li></ul><p><strong>2. Non-linear and Distributed Encoding:</strong></p><ul><li>The genome's influence on development is mediated through indirect coding, where different parts of the genome contribute to overarching developmental outcomes without direct one-to-one correspondence between specific genomic sequences and developmental features.</li></ul><p><strong>3. Variational Autoencoders and Genetic Variability:</strong></p><ul><li>Drawing an analogy to variational autoencoders in machine learning, the genome encodes latent variables not as fixed values but as probability distributions. This allows developmental outcomes to vary within certain limits, ensuring robustness and adaptability of the organism despite environmental variations or molecular noise.</li></ul><p><strong>4. Protein Coding and Beyond:</strong></p><ul><li>While the genome directly encodes the sequence of proteins through a linear and direct genetic code (established by Nirenberg and others in the 1960s), this linear coding is just one aspect of genetic function. More complex is the regulation of how these proteins are expressed, which involves a less straightforward, more context-dependent system that cannot be easily deciphered like the protein-coding sequences.</li></ul><p><strong>5. Regulation of Gene Expression:</strong></p><ul><li>The regulation of protein expression involves a dynamic control system that operates under a variety of conditions to facilitate different biochemical functions. This regulation is crucial for the differentiation of cells and the development of distinct cell types across different parts of an organism.</li></ul><p><strong>6. Development and Morphogenesis:</strong></p><ul><li>The ultimate shape and form of an organism are outcomes of complex interactions between different cell types, which are governed by the regulatory sequences and controlled expression of proteins. This system of regulation and interaction guides the processes of development and morphogenesis, leading to the emergence of the organism's species-typical form.</li></ul><p>Overall, the genome's role in development is framed as being akin to a sophisticated, adaptable system that sets parameters and conditions under which biological systems self-organize and adaptively respond, rather than acting as a straightforward blueprint or script. This conceptualization underscores the complexity of genetic and developmental biology and highlights the emergent nature of biological form and function.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 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data-state="closed"><button type="button" id="radix-:r62:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-14" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb211c7-f56d-4bc7-9939-679444dc92e4" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>I wanted to argue that sexual diphormism can be modulated by the rate of collagen deployment, which has a differential effect on the development of internal organs and body shape.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex 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xl:max-w-[48rem]"><div class="flex-shrink-0 flex flex-col relative items-end"><div><div class="pt-0"><div class="gizmo-bot-avatar flex h-8 w-8 items-center justify-center overflow-hidden rounded-full"><div class="relative p-1 rounded-sm flex items-center justify-center bg-token-main-surface-primary text-token-text-primary h-8 w-8"><svg width="41" height="41" viewBox="0 0 41 41" fill="none" xmlns="http://www.w3.org/2000/svg" class="icon-md" role="img"><text x="-9999" y="-9999">ChatGPT</text><path d="M37.5324 16.8707C37.9808 15.5241 38.1363 14.0974 37.9886 12.6859C37.8409 11.2744 37.3934 9.91076 36.676 8.68622C35.6126 6.83404 33.9882 5.3676 32.0373 4.4985C30.0864 3.62941 27.9098 3.40259 25.8215 3.85078C24.8796 2.7893 23.7219 1.94125 22.4257 1.36341C21.1295 0.785575 19.7249 0.491269 18.3058 0.500197C16.1708 0.495044 14.0893 1.16803 12.3614 2.42214C10.6335 3.67624 9.34853 5.44666 8.6917 7.47815C7.30085 7.76286 5.98686 8.3414 4.8377 9.17505C3.68854 10.0087 2.73073 11.0782 2.02839 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13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="a749db51-64f8-4f1a-b9c6-2bd439f7eabe" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>To build a strong argument around the idea that sexual dimorphism can be influenced by the rate of collagen deployment and its effects on internal organ development and body shape, you would need to address several key points and provide evidence or theoretical support for each:</p><h3>1. <strong>Introduction to Sexual Dimorphism</strong></h3><ul><li>Define sexual dimorphism, explaining it as the systematic difference in form between individuals of different sex within the same species.</li><li>Highlight examples where sexual dimorphism is evident, such as size, coloration, or morphological differences.</li></ul><h3>2. <strong>Role of Collagen in Development</strong></h3><ul><li>Explain the function of collagen as a primary structural protein in the extracellular space in various connective tissues in the body.</li><li>Describe how collagen influences tissue architecture, organ development, and overall body structure.</li></ul><h3>3. <strong>Collagen Deployment</strong></h3><ul><li>Define what is meant by "rate of collagen deployment" — perhaps referring to the speed or timing of collagen synthesis and integration during development.</li><li>Discuss the biological mechanisms that control collagen production, including genetic regulation, hormonal influences, and environmental factors.</li></ul><h3>4. <strong>Link Between Collagen and Sexual Dimorphism</strong></h3><ul><li>Propose how differential rates of collagen deployment might affect males and females differently, leading to variations in the development of internal organs and body structure.</li><li>Provide examples or theoretical models showing how variations in collagen density, structure, or deployment timing could result in observable sexual dimorphism.</li></ul><h3>5. <strong>Empirical Evidence</strong></h3><ul><li>Cite studies that have examined the impact of collagen or other structural proteins on the development of sexual dimorphism in animals or humans.</li><li>If direct evidence is scarce, draw parallels from related research areas, such as endocrinology (e.g., effects of sex hormones on collagen synthesis) or developmental biology.</li></ul><h3>6. <strong>Theoretical and Practical Implications</strong></h3><ul><li>Discuss the evolutionary advantages or reasons behind different collagen deployment rates between sexes, such as adaptiveness, reproductive roles, or survival strategies.</li><li>Speculate on the potential medical or biological implications, such as the differential susceptibility to certain diseases, effects on aging, or impacts on physical capabilities.</li></ul><h3>7. <strong>Conclusion</strong></h3><ul><li>Summarize the main points of your argument, reinforcing the plausibility and significance of collagen deployment rates as a modulator of sexual dimorphism.</li><li>Suggest areas for future research that could further elucidate the relationship between collagen dynamics and sexual dimorphism.</li></ul><h3>Supporting Your Argument</h3><p>Your argument would be stronger with:</p><ul><li><strong>Data and Statistics</strong>: Use quantitative data to back up claims about collagen impacts.</li><li><strong>Comparative Studies</strong>: Reference comparative anatomical or physiological studies across species that exhibit varying degrees of sexual dimorphism.</li><li><strong>Biochemical and Molecular Analysis</strong>: Show how different hormonal environments in males and females lead to differences in gene expression related to collagen synthesis.</li></ul><p>This framework should provide a comprehensive basis for developing a well-rounded argument on the potential role of collagen deployment in modulating sexual dimorphism.</p></div></div></div></div><div class="mt-1 flex gap-3 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style="opacity: 0; padding-left: 0px; width: 0px;">4</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-16" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21e77-cadb-4046-a7d1-36b2f9824c06" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>I wanted to start with animals like the anglerfish. A different collagen level can lead to 100x size difference</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="f3699e15-f2c0-4590-801e-a9c175424aaa" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>Starting with an example like the anglerfish, where sexual dimorphism is extreme, can provide a compelling foundation for your argument. Here’s a structured approach to incorporating this example and expanding on your thesis:</p><h3>Introduction to Sexual Dimorphism</h3><ul><li><strong>Definition and Examples</strong>: Begin by defining sexual dimorphism and giving general examples. Introduce the anglerfish as a particularly striking case of sexual dimorphism.</li></ul><h3>Case Study: Anglerfish</h3><ul><li><strong>Description of Sexual Dimorphism in Anglerfish</strong>: Describe the extreme size difference between male and female anglerfish, where females can be over 100 times the size of males.</li><li><strong>Role of Collagen</strong>: Explain the hypothesis that differing levels of collagen deployment might contribute to this vast size disparity.</li></ul><h3>Collagen and Its Role in Development</h3><ul><li><strong>Function of Collagen</strong>: Detail the biological role of collagen in tissue structure and integrity. Emphasize how collagen contributes to overall body shape and internal organ development.</li><li><strong>Regulation of Collagen</strong>: Discuss how collagen production is regulated in the body, including genetic and hormonal controls that might differ between sexes.</li></ul><h3>Differential Collagen Deployment</h3><ul><li><strong>Hypothesis</strong>: Propose that the rate and amount of collagen deployment during development might influence the size and structure differences seen in sexually dimorphic species like the anglerfish.</li><li><strong>Mechanisms</strong>: Explain possible mechanisms, such as:<ul><li><strong>Genetic Regulation</strong>: Differences in genes regulating collagen production between males and females.</li><li><strong>Hormonal Influences</strong>: The role of sex hormones (e.g., estrogen and testosterone) in modulating collagen synthesis and deposition.</li><li><strong>Developmental Timing</strong>: How the timing of collagen deployment might differ during critical growth periods.</li></ul></li></ul><h3>Empirical Evidence</h3><ul><li><strong>Studies in Anglerfish</strong>: Summarize any research that has examined collagen levels in anglerfish or similar species. If specific studies are lacking, discuss related findings in other animals where collagen has been linked to size and structural differences.</li><li><strong>Comparative Analysis</strong>: Look at other species with significant sexual dimorphism and explore any available data on collagen or connective tissue differences.</li></ul><h3>Broader Implications and Other Examples</h3><ul><li><strong>Extension to Other Species</strong>: Discuss how the concept might apply to other animals with notable sexual dimorphism, such as peacocks, deer, or humans.</li><li><strong>Evolutionary Perspective</strong>: Consider why differing collagen deployment might have evolved, potentially offering advantages in reproductive roles or survival strategies.</li></ul><h3>Theoretical and Practical Implications</h3><ul><li><strong>Medical and Biological Implications</strong>: Speculate on how understanding collagen's role in sexual dimorphism could impact medical research, such as in treating connective tissue disorders or understanding growth patterns.</li><li><strong>Future Research Directions</strong>: Suggest areas for further investigation, like genetic studies, hormone-collagen interaction research, or developmental biology experiments.</li></ul><h3>Conclusion</h3><ul><li><strong>Summary</strong>: Recap the key points of your argument, emphasizing the potential link between collagen deployment and sexual dimorphism.</li><li><strong>Call to Action</strong>: Encourage more research into this intriguing aspect of developmental biology to uncover the underlying mechanisms and broader implications.</li></ul><h3>Supporting Your Argument</h3><ul><li><strong>Data and References</strong>: Use existing studies on collagen's role in development and sexually dimorphic traits to support your hypothesis.</li><li><strong>Visual Aids</strong>: Incorporate diagrams or illustrations of collagen structure, its role in tissues, and examples of sexual dimorphism in anglerfish and other species.</li></ul><p>This approach will provide a comprehensive and persuasive argument that links collagen deployment to sexual dimorphism, starting from a compelling example and expanding to broader biological principles.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 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py-2.5 dark:bg-token-main-surface-secondary"><div>Connections with the article we were discussing</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full 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relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="f1aeb8b9-51c4-4c3f-b514-c704e08ebbd4" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>Certainly! Here’s how you can connect your argument about collagen deployment influencing sexual dimorphism to the concepts discussed in the article about the genomic code and developmental processes:</p><h3>Introduction to Sexual Dimorphism and the Genomic Code</h3><ul><li><strong>Defining Sexual Dimorphism</strong>: Begin by defining sexual dimorphism and highlighting extreme examples like the anglerfish, where females can be over 100 times larger than males.</li><li><strong>Genomic Encoding and Development</strong>: Introduce the article's concept that the genome functions more like a generative model rather than a direct blueprint or program, setting the stage for development through complex interactions.</li></ul><h3>Case Study: Anglerfish and Collagen Deployment</h3><ul><li><strong>Extreme Dimorphism in Anglerfish</strong>: Describe the significant size difference between male and female anglerfish. Suggest that differences in collagen deployment might play a key role in this dimorphism.</li><li><strong>Generative Model and Collagen</strong>: Link this to the article’s idea of the genome as a generative model. Propose that variations in collagen deployment rates are part of the latent variables encoded in the genome that influence the development of size and shape differences.</li></ul><h3>Collagen’s Role in Development</h3><ul><li><strong>Function and Regulation of Collagen</strong>: Detail how collagen acts as a structural protein critical for tissue and organ development, and how its production is regulated.</li><li><strong>Genomic Influence on Collagen Deployment</strong>: Connect this to the concept from the article that the genome indirectly influences development through biochemical interactions, suggesting that differential collagen deployment is an example of this process.</li></ul><h3>Differential Collagen Deployment and Sexual Dimorphism</h3><ul><li><strong>Hypothesis and Mechanisms</strong>: Propose that the rate and pattern of collagen deployment could be a key factor in sexual dimorphism, influenced by genetic and hormonal factors.</li><li><strong>Non-linear and Distributed Encoding</strong>: Relate this to the article’s discussion on non-linear, distributed encoding in the genome, where different rates of collagen deployment could be modulated by complex genetic interactions and environmental factors.</li></ul><h3>Empirical Evidence and Broader Implications</h3><ul><li><strong>Evidence from Anglerfish and Other Species</strong>: Summarize any studies that support the role of collagen in size and shape differences, drawing parallels with the article’s emphasis on empirical data for understanding developmental processes.</li><li><strong>Comparison with Autoencoders</strong>: Use the analogy of autoencoders from the article to explain how the genome might encode general parameters for collagen deployment, leading to variable but species-typical outcomes.</li></ul><h3>Evolutionary and Developmental Perspectives</h3><ul><li><strong>Evolutionary Advantages</strong>: Discuss why different rates of collagen deployment might have evolved to support reproductive roles or survival strategies, connecting to the article’s points on robustness and evolvability.</li><li><strong>Developmental Systems Theory</strong>: Incorporate the article's notion that the genome acts as a resource in a developmental system, with collagen deployment being one of the many factors influenced by genetic and environmental interactions.</li></ul><h3>Theoretical and Practical Implications</h3><ul><li><strong>Medical and Biological Research</strong>: Speculate on how understanding the genomic encoding of collagen deployment can impact medical research, such as in treating connective tissue disorders, echoing the article’s call for formalization and simulation of biological processes.</li><li><strong>Future Research Directions</strong>: Suggest further investigation into how collagen deployment is regulated by the genome, aligning with the article’s proposal for new models and empirical studies to understand development and evolution.</li></ul><h3>Conclusion</h3><ul><li><strong>Summary of Key Points</strong>: Recap how the rate of collagen deployment, as influenced by genomic encoding, can modulate sexual dimorphism, connecting back to the broader concepts discussed in the article.</li><li><strong>Call to Action</strong>: Encourage further research into the mechanisms of collagen deployment and its role in development, supporting the article’s emphasis on advancing our understanding of genetic and developmental processes.</li></ul><p>By integrating these points, you can create a cohesive argument that links your hypothesis about collagen deployment and sexual dimorphism to the broader themes of the genomic code and developmental biology discussed in the article.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div 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height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M19.898.855a.4.4 0 0 0-.795 0c-.123 1.064-.44 1.802-.943 2.305-.503.503-1.241.82-2.306.943a.4.4 0 0 0 .001.794c1.047.119 1.801.436 2.317.942.512.504.836 1.241.93 2.296a.4.4 0 0 0 .796 0c.09-1.038.413-1.792.93-2.308.515-.516 1.269-.839 2.306-.928a.4.4 0 0 0 .001-.797c-1.055-.094-1.792-.418-2.296-.93-.506-.516-.823-1.27-.941-2.317Z"></path><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4o</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-20" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb2123c-b3f3-4219-bd9a-3b1a72090d11" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>Gene regulatory networks, attractor states, and energy landscapes
The ways in which the latent variables in the genomic sequence can constrain and
direct development have been modelled and conceptualised in various ways. First, the
collective regulatory interactions encoded in the genome can be depicted as gene
regulatory networks – graphs that capture the positive and negative interactions
between various regulatory factors and from regulatory factors to their effector targets
(Ben-Tabou de-Leon and Davidson 2006; Davidson and Erwin 2006).
The regulatory elements of any given gene can be thought of as performing logical
operations (AND, OR, NOT, etc.) on their “inputs” – i.e., the pattern of transcriptional
regulators present and active in the cell (Alon 2007; Istrail et al 2007). The activity of
these regulators is often sensitive to some kind of signal or state. The classic example
is the lac operon in E. coli, which is transcribed only when glucose is absent (such that
the CAP transcriptional activator is active and bound to the DNA) AND lactose is
present (such that the lac repressor is inactivated and not bound to the DNA) (Jacob
and Monod 1961; Mayr 1961).
However, the lac operon is unusual in that the genes comprising it are either not
transcribed at all or transcribed at very high levels – i.e., their activation state is
effectively binary: ON or OFF. Most gene regulation is more graded, from LOW to HIGH
(not digital, but analog). In addition, transcription is inherently probabilistic and
fluctuating – expression levels do not reflect a smooth rate of mRNA production but
rather the probability of the gene being transcribed at any moment (Eldar and Elowitz
2010; Raj and van Oudenaarden 2008). Genes thus do not act like clean, isolated
Boolean operators but rather as continuous, noisy, and dynamic elements in a
connectionist network (Alon 2007; Kauffman, 1969; 1993).
Once such a network gets large enough it becomes too complicated to model as a set
of interconnected logic gates that determine the static state of the system. Indeed, in
development, specific proteins are “re-used” in different parts of the embryo in
combinatorial and highly context-dependent ways, to the extent that it becomes 11
impossible to associate specific factors with specific cell types or tissues in any kind of
causally isolated way. Instead, the entire genomic network can be thought of as an
interlocking dynamical system that can tend toward a variety of possible stable attractor
states, but that also will tend to follow stereotyped trajectories through state space over
time, given certain conditions (Figure 2) (Alon 2007; Huang e al. 2005; Huang 2012;
Jaeger and Monk 2014; Kang and Li 2021; Kauffman 1993). A dynamical model also
captures the fact that the regulatory interactions at play do not all occur instantaneously.
They play out through time, often at different rates.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" 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11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="625a72db-610e-4ae2-826a-0f9665d58459" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>To integrate the discussion of gene regulatory networks, attractor states, and energy landscapes into your argument about how collagen deployment affects sexual dimorphism, you can follow this structured approach:</p><h3>Introduction to Sexual Dimorphism and Collagen Deployment</h3><ul><li><strong>Define Sexual Dimorphism</strong>: Briefly introduce sexual dimorphism with examples like the anglerfish.</li><li><strong>Role of Collagen</strong>: State your hypothesis that differential collagen deployment impacts the development of internal organs and body shape, contributing to sexual dimorphism.</li></ul><h3>Gene Regulatory Networks and Development</h3><ul><li><strong>Regulatory Networks</strong>: Explain that gene regulatory networks (GRNs) depict how genes interact, influencing the expression of other genes through positive and negative regulatory effects.</li><li><strong>Logical Operations in GRNs</strong>: Describe how regulatory elements act like logical gates (AND, OR, NOT) based on the presence or absence of specific transcriptional regulators, influencing gene expression levels.</li></ul><h3>Connection to Collagen Deployment</h3><ul><li><strong>GRNs and Collagen</strong>: Propose that the regulation of collagen-related genes is part of these networks. Variations in GRNs between males and females could lead to different rates and patterns of collagen deployment, influencing sexual dimorphism.</li></ul><h3>Attractor States and Developmental Pathways</h3><ul><li><strong>Attractor States</strong>: Introduce the concept of attractor states in GRNs, where the system tends towards specific stable states, corresponding to different developmental outcomes.</li><li><strong>Dynamic Systems</strong>: Explain that these states are part of a dynamic system that evolves over time, influenced by the probabilistic nature of gene expression and regulatory interactions.</li></ul><h3>Collagen and Developmental Trajectories</h3><ul><li><strong>Impact on Morphogenesis</strong>: Suggest that different attractor states in the GRNs of males and females could lead to different developmental trajectories for collagen deployment, impacting tissue structure and organ development.</li><li><strong>Examples in Dimorphic Species</strong>: Use the anglerfish as a case study where significant differences in size and structure may result from distinct attractor states in their GRNs that regulate collagen and other structural proteins.</li></ul><h3>Energy Landscapes and Robustness</h3><ul><li><strong>Energy Landscapes</strong>: Describe how the concept of energy landscapes models the developmental process, with valleys representing stable states (attractors) and hills representing less stable states.</li><li><strong>Robustness and Evolvability</strong>: Link this to the robustness and evolvability of organisms, where variations in collagen deployment rates provide flexibility and adaptability in development.</li></ul><h3>Empirical Evidence and Broader Implications</h3><ul><li><strong>Evidence from Studies</strong>: Summarize any research that connects collagen deployment to differences in tissue development and structure in sexually dimorphic species.</li><li><strong>Broader Implications</strong>: Discuss the broader implications of understanding GRNs and collagen deployment in medical research, such as developmental disorders or tissue engineering.</li></ul><h3>Future Research Directions</h3><ul><li><strong>Further Investigation</strong>: Encourage further research into how GRNs specifically regulate collagen deployment and how these processes differ between sexes.</li><li><strong>Simulation and Modeling</strong>: Suggest the use of computational models and simulations, inspired by the article's generative model approach, to predict and study the effects of collagen regulation on sexual dimorphism.</li></ul><h3>Conclusion</h3><ul><li><strong>Recap Key Points</strong>: Summarize the argument that variations in GRNs and their attractor states can lead to differential collagen deployment, contributing to sexual dimorphism.</li><li><strong>Call to Action</strong>: Highlight the need for more research to fully understand these complex interactions and their implications for biology and medicine.</li></ul><p>By connecting the detailed mechanisms of gene regulatory networks, attractor states, and energy landscapes to your hypothesis about collagen deployment, you create a comprehensive and scientifically grounded argument. This approach leverages the concepts discussed in the article to support your thesis and opens new avenues for research and understanding in developmental biology.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r6u:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M19.898.855a.4.4 0 0 0-.795 0c-.123 1.064-.44 1.802-.943 2.305-.503.503-1.241.82-2.306.943a.4.4 0 0 0 .001.794c1.047.119 1.801.436 2.317.942.512.504.836 1.241.93 2.296a.4.4 0 0 0 .796 0c.09-1.038.413-1.792.93-2.308.515-.516 1.269-.839 2.306-.928a.4.4 0 0 0 .001-.797c-1.055-.094-1.792-.418-2.296-.93-.506-.516-.823-1.27-.941-2.317Z"></path><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4o</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-22" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21584-16e3-44e0-80d4-380abb613a92" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>Explain how men and women have different collagen levels in the skin and interstitium and if this is present early in development, differing viscosity and flexibility of the material might lead to different body shape, facial structure, and where fat cell might be stored. I was thinking of analogies with balloons with different thicknesses.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-23" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="flex-shrink-0 flex flex-col relative items-end"><div><div class="pt-0"><div class="gizmo-bot-avatar flex h-8 w-8 items-center justify-center overflow-hidden rounded-full"><div class="relative p-1 rounded-sm flex items-center justify-center bg-token-main-surface-primary text-token-text-primary h-8 w-8"><svg width="41" height="41" viewBox="0 0 41 41" fill="none" xmlns="http://www.w3.org/2000/svg" class="icon-md" role="img"><text x="-9999" y="-9999">ChatGPT</text><path d="M37.5324 16.8707C37.9808 15.5241 38.1363 14.0974 37.9886 12.6859C37.8409 11.2744 37.3934 9.91076 36.676 8.68622C35.6126 6.83404 33.9882 5.3676 32.0373 4.4985C30.0864 3.62941 27.9098 3.40259 25.8215 3.85078C24.8796 2.7893 23.7219 1.94125 22.4257 1.36341C21.1295 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8.84863 20.9404L18.5723 26.5542L15.206 28.4979C15.1894 28.5089 15.1703 28.5155 15.1505 28.5173C15.1307 28.5191 15.1107 28.516 15.0924 28.5082L7.04046 23.8557C5.32135 22.8601 4.06716 21.2235 3.55289 19.3046C3.03862 17.3858 3.30624 15.3413 4.29707 13.6194ZM31.955 20.0556L22.2312 14.4411L25.5976 12.4981C25.6142 12.4872 25.6333 12.4805 25.6531 12.4787C25.6729 12.4769 25.6928 12.4801 25.7111 12.4879L33.7631 17.1364C34.9967 17.849 36.0017 18.8982 36.6606 20.1613C37.3194 21.4244 37.6047 22.849 37.4832 24.2684C37.3617 25.6878 36.8382 27.0432 35.9743 28.1759C35.1103 29.3086 33.9415 30.1717 32.6047 30.6641C32.6047 30.5947 32.6047 30.4733 32.6047 30.3889V21.188C32.6066 20.9586 32.5474 20.7328 32.4332 20.5338C32.319 20.3348 32.154 20.1698 31.955 20.0556ZM35.3055 15.0128C35.2464 14.9765 35.1431 14.9142 35.069 14.8717L27.1045 10.2712C26.906 10.1554 26.6803 10.0943 26.4504 10.0943C26.2206 10.0943 25.9948 10.1554 25.7963 10.2712L16.0726 15.8858V11.9982C16.0715 11.9783 16.0753 11.9585 16.0837 11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="f965e8fe-231f-4a46-ae57-d5250cb6a816" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>To effectively explain how differing collagen levels between men and women affect their body shape, facial structure, and fat storage, you can utilize the analogy of balloons with different thicknesses. Here's how to structure your argument:</p><h3>Introduction to Collagen and Sexual Dimorphism</h3><ul><li><strong>Define Collagen</strong>: Introduce collagen as a critical structural protein that contributes to the integrity and elasticity of skin and connective tissues.</li><li><strong>Sexual Dimorphism in Collagen Levels</strong>: Briefly state that men and women have different collagen levels in their skin and interstitium, contributing to differences in body shape, facial structure, and fat distribution.</li></ul><h3>Differences in Collagen Levels</h3><ul><li><strong>Men vs. Women</strong>: Explain that men typically have higher collagen density in their skin compared to women. This difference is partly due to hormonal influences, particularly estrogen, which affects collagen synthesis and degradation.</li><li><strong>Impact on Skin and Connective Tissue</strong>: Higher collagen density in men’s skin leads to greater thickness, strength, and less sagging, while lower collagen density in women’s skin contributes to thinner, more elastic, and more flexible skin.</li></ul><h3>Developmental Onset of Collagen Differences</h3><ul><li><strong>Early Development</strong>: Discuss evidence suggesting that these differences in collagen levels start to manifest early in development, possibly influenced by prenatal and pubertal hormonal changes.</li><li><strong>Influence on Body Shape and Facial Structure</strong>: Propose that differing collagen levels affect the viscosity and flexibility of skin and connective tissues, leading to variations in body shape and facial structure between sexes.</li></ul><h3>Analogies to Explain the Concept</h3><ul><li><strong>Balloon Analogy</strong>: Compare the skin and connective tissues to balloons with different thicknesses:<ul><li><strong>Thicker Balloon (Men)</strong>: A balloon with thicker material represents men’s skin and connective tissue, leading to a firmer, more defined shape. This greater thickness provides more support and resistance to deformation.</li><li><strong>Thinner Balloon (Women)</strong>: A balloon with thinner material represents women’s skin, resulting in more flexibility and elasticity. This allows for more stretching and sagging, contributing to softer contours and different fat distribution patterns.</li></ul></li></ul><h3>Implications for Fat Storage</h3><ul><li><strong>Viscosity and Flexibility</strong>: Different viscosity and flexibility of skin and connective tissues influence where and how fat cells are stored. In men, higher collagen density leads to more centralized fat storage (e.g., abdomen), while in women, lower collagen density allows for more widespread fat distribution (e.g., hips, thighs).</li><li><strong>Hormonal Influence</strong>: Highlight the role of hormones like estrogen in directing fat storage patterns, further modulating the effects of collagen density differences.</li></ul><h3>Empirical Evidence</h3><ul><li><strong>Scientific Studies</strong>: Cite studies that support the idea of sex-specific collagen differences and their impact on skin properties and fat distribution. For example, research showing higher collagen turnover rates in women or differing collagen fiber organization.</li></ul><h3>Broader Implications</h3><ul><li><strong>Aesthetic and Health Considerations</strong>: Discuss how understanding these differences can inform medical and cosmetic practices, such as tailored skincare, anti-aging treatments, and strategies for managing body composition.</li></ul><h3>Conclusion</h3><ul><li><strong>Recap Key Points</strong>: Summarize the argument that differing collagen levels between men and women, present from early development, significantly influence body shape, facial structure, and fat distribution, analogous to balloons with different thicknesses.</li><li><strong>Future Research Directions</strong>: Suggest areas for further research, such as the genetic and hormonal mechanisms regulating collagen differences and their developmental timelines.</li></ul><p>By using the balloon analogy, you can effectively illustrate how the physical properties of collagen influence the morphological differences between men and women, making the concept more accessible and relatable.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 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dark:bg-token-main-surface-secondary"><div>Connections back to our earlier discussions on The genome instantiates a generative model of the organism</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" 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25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="a1ee67cf-0eeb-49c7-af33-3e34caa9e4a5" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>Connecting the differences in collagen levels between men and women to the earlier discussions on the genome as a generative model of the organism, you can structure your argument as follows:</p><h3>Introduction to Sexual Dimorphism and Collagen</h3><ul><li><strong>Sexual Dimorphism</strong>: Define sexual dimorphism and introduce the hypothesis that differential collagen deployment contributes to differences in body shape, facial structure, and fat distribution between men and women.</li><li><strong>Collagen</strong>: Briefly explain collagen’s role as a structural protein in skin and connective tissues.</li></ul><h3>Gene Regulatory Networks and Collagen</h3><ul><li><strong>Regulatory Networks</strong>: Describe gene regulatory networks (GRNs) and how they represent the interactions between genes and regulatory factors, influencing gene expression.</li><li><strong>Collagen Regulation</strong>: Connect this to the regulation of collagen-related genes, suggesting that GRNs modulate collagen synthesis and degradation differently in men and women.</li></ul><h3>Generative Model and Development</h3><ul><li><strong>Generative Model Concept</strong>: Recap the idea that the genome functions as a generative model, encoding a compressed set of latent variables that guide development through complex interactions.</li><li><strong>Collagen as a Latent Variable</strong>: Propose that collagen deployment is one such latent variable, influenced by genetic and hormonal factors, which collectively shape developmental trajectories and result in sexual dimorphism.</li></ul><h3>Developmental Trajectories and Attractor States</h3><ul><li><strong>Attractor States</strong>: Explain the concept of attractor states in GRNs, where the system tends towards stable states that represent specific developmental outcomes.</li><li><strong>Sex-Specific Trajectories</strong>: Suggest that sex-specific differences in collagen deployment result from different attractor states in the GRNs of males and females, influenced by hormonal signals during development.</li></ul><h3>Analogies and Practical Implications</h3><ul><li><strong>Balloon Analogy</strong>: Use the balloon analogy to illustrate how differences in collagen levels impact the physical properties of skin and connective tissues:<ul><li><strong>Thicker Balloon (Men)</strong>: Represents higher collagen density in men, leading to firmer, more defined body shapes and centralized fat storage.</li><li><strong>Thinner Balloon (Women)</strong>: Represents lower collagen density in women, resulting in more flexible skin, softer contours, and widespread fat distribution.</li></ul></li><li><strong>Developmental Timing</strong>: Discuss how these differences manifest early in development, potentially starting from prenatal stages and becoming more pronounced during puberty due to hormonal influences.</li></ul><h3>Empirical Evidence</h3><ul><li><strong>Scientific Studies</strong>: Cite studies that support the role of collagen in contributing to sexual dimorphism, highlighting research on collagen turnover rates, fiber organization, and hormonal regulation.</li><li><strong>Genomic Data</strong>: Link to empirical data from systems biology that shows how genomic encoding of collagen-related genes differs between sexes, supporting the generative model concept.</li></ul><h3>Broader Implications and Future Research</h3><ul><li><strong>Medical and Cosmetic Applications</strong>: Discuss the practical implications of understanding collagen differences, such as tailored skincare treatments and strategies for managing body composition.</li><li><strong>Evolutionary Perspective</strong>: Consider the evolutionary advantages of differential collagen deployment, contributing to sexual dimorphism in terms of reproductive roles and survival strategies.</li><li><strong>Further Research</strong>: Suggest areas for further research, such as exploring the genetic and hormonal mechanisms regulating collagen differences and their impact on development and aging.</li></ul><h3>Conclusion</h3><ul><li><strong>Recap Key Points</strong>: Summarize the argument that differences in collagen levels between men and women, influenced by genetic and hormonal factors, contribute to sexual dimorphism in body shape, facial structure, and fat distribution. These differences can be understood within the framework of the genome as a generative model, where collagen deployment acts as a latent variable shaping developmental outcomes.</li><li><strong>Call to Action</strong>: Highlight the importance of further research to fully understand these complex interactions and their implications for biology and medicine.</li></ul><p>By integrating these points, you create a cohesive argument that connects the detailed mechanisms of gene regulatory networks and the generative model concept to your hypothesis about collagen deployment and sexual dimorphism. This approach leverages the ideas discussed in the article to support your thesis and opens new avenues for research and understanding in developmental biology.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r7c:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M19.898.855a.4.4 0 0 0-.795 0c-.123 1.064-.44 1.802-.943 2.305-.503.503-1.241.82-2.306.943a.4.4 0 0 0 .001.794c1.047.119 1.801.436 2.317.942.512.504.836 1.241.93 2.296a.4.4 0 0 0 .796 0c.09-1.038.413-1.792.93-2.308.515-.516 1.269-.839 2.306-.928a.4.4 0 0 0 .001-.797c-1.055-.094-1.792-.418-2.296-.93-.506-.516-.823-1.27-.941-2.317Z"></path><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4o</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-26" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21af8-178e-45c4-9889-1e4d6834e904" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>How does it connect to my thesis? : Interactive Feedback Hypothesis
Could I get an essay on these topics, titled interactive feedback hypothesis?
Interactive Feedback Hypothesis: Unraveling the Choreography of Embryonic Development
…d player. This essay delves into the "Interactive Feedback Hypothesis," a theoretical framework proposing that embryon…
…rganization of the extracellular matrix (ECM), provides a foundational pillar for the Interactive Feedback Hypothesis.
The Interactive Feedback Hypothesis also highlights the role of growth factor distribution, suggesting that embryonic m…
The Interactive Feedback Hypothesis presents a holistic view of embryonic development, suggesting a symbiotic relations…
In conclusion, the Interactive Feedback Hypothesis offers a compelling narrative on the integral role of mechanical for…</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-27" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="flex-shrink-0 flex flex-col relative items-end"><div><div class="pt-0"><div class="gizmo-bot-avatar flex h-8 w-8 items-center justify-center overflow-hidden rounded-full"><div class="relative p-1 rounded-sm flex items-center justify-center bg-token-main-surface-primary text-token-text-primary h-8 w-8"><svg width="41" height="41" viewBox="0 0 41 41" fill="none" xmlns="http://www.w3.org/2000/svg" class="icon-md" role="img"><text x="-9999" y="-9999">ChatGPT</text><path d="M37.5324 16.8707C37.9808 15.5241 38.1363 14.0974 37.9886 12.6859C37.8409 11.2744 37.3934 9.91076 36.676 8.68622C35.6126 6.83404 33.9882 5.3676 32.0373 4.4985C30.0864 3.62941 27.9098 3.40259 25.8215 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15.8858V11.9982C16.0715 11.9783 16.0753 11.9585 16.0837 11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="d3effdd0-fb85-4e27-bed7-d98d3fd2f35c" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><h3>Interactive Feedback Hypothesis: Unraveling the Choreography of Embryonic Development</h3><p>Embryonic development is a complex, dynamic process influenced by numerous factors that interact in intricate ways. This essay delves into the "Interactive Feedback Hypothesis," a theoretical framework proposing that embryonic development is driven by a continuous interplay of genetic, biochemical, and mechanical factors. By exploring the mechanisms of gene regulatory networks, the role of collagen deployment, and the organization of the extracellular matrix (ECM), we can better understand how these elements work together to shape the developing organism.</p><h4>Gene Regulatory Networks and Developmental Feedback</h4><p>Gene regulatory networks (GRNs) are central to the Interactive Feedback Hypothesis. These networks depict the interactions between genes and regulatory factors, capturing the positive and negative feedback loops that influence gene expression. The regulatory elements of genes perform logical operations (AND, OR, NOT) based on the presence or absence of specific transcriptional regulators. For example, the lac operon in E. coli is regulated in a binary fashion, but most gene regulation in multicellular organisms is more graded and probabilistic.</p><p>In the context of embryonic development, GRNs do not operate in isolation. Instead, they are part of a larger, interlocking dynamical system that evolves over time. This system can tend toward various stable attractor states, representing different developmental outcomes. The Interactive Feedback Hypothesis posits that these attractor states are influenced not only by genetic information but also by mechanical and biochemical signals from the developing tissues.</p><h4>Collagen Deployment and Sexual Dimorphism</h4><p>One of the key components influenced by GRNs is collagen, a structural protein critical for the integrity and elasticity of skin and connective tissues. Men and women have different collagen levels, which contributes to sexual dimorphism in body shape, facial structure, and fat distribution. The Interactive Feedback Hypothesis suggests that differential collagen deployment is modulated by genetic and hormonal factors, which are themselves influenced by feedback from mechanical forces and tissue interactions.</p><p>From early development, these differences in collagen levels can affect the viscosity and flexibility of skin and connective tissues. Using the analogy of balloons with different thicknesses, we can visualize how thicker, denser collagen in men results in firmer, more defined body shapes, while thinner collagen in women leads to softer contours and more distributed fat storage. This dynamic interplay between collagen deployment and mechanical forces exemplifies the feedback mechanisms central to the hypothesis.</p><h4>Extracellular Matrix and Mechanical Feedback</h4><p>The organization of the extracellular matrix (ECM) provides a foundational pillar for the Interactive Feedback Hypothesis. The ECM is a complex network of proteins, including collagen, that provides structural support and regulates various cellular functions. Mechanical feedback from the ECM to the cells plays a crucial role in guiding tissue organization and development. Changes in the ECM’s composition and mechanical properties can influence cell behavior, gene expression, and ultimately, the developmental trajectory of the organism.</p><p>The hypothesis also highlights the role of growth factor distribution. Growth factors are biochemical signals that regulate cell proliferation, differentiation, and migration. Their distribution is influenced by the ECM and can create gradients that guide tissue patterning. This biochemical feedback loop, coupled with mechanical signals from the ECM, ensures that cells receive the appropriate cues for proper development.</p><h4>A Holistic View of Embryonic Development</h4><p>The Interactive Feedback Hypothesis presents a holistic view of embryonic development, suggesting a symbiotic relationship between genetic, biochemical, and mechanical factors. This framework proposes that development is not a linear, one-way process directed solely by genetic information. Instead, it is a dynamic interplay where mechanical forces and biochemical signals provide continuous feedback to the developing tissues, shaping their form and function in real-time.</p><p>By integrating concepts from gene regulatory networks, collagen deployment, and ECM organization, the Interactive Feedback Hypothesis offers a comprehensive narrative on the choreography of embryonic development. This perspective emphasizes the importance of considering multiple layers of interaction to fully understand the complexity of developmental processes.</p><h4>Conclusion</h4><p>In conclusion, the Interactive Feedback Hypothesis offers a compelling narrative on the integral role of mechanical forces, biochemical signals, and genetic information in shaping embryonic development. By unraveling the intricate feedback loops between these factors, this hypothesis provides a deeper understanding of how the developing organism orchestrates its growth and differentiation. Future research in this area promises to shed further light on the dynamic interplay of these elements, offering new insights into developmental biology and potential applications in medicine and biotechnology.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 3.597-1.268 5.13a1 1 0 1 1-1.768-.934A8.96 8.96 0 0 0 21 12a8.96 8.96 0 0 0-1.085-4.287 1 1 0 0 1 .402-1.356M15.799 7.9a1 1 0 0 1 1.4.2 6.48 6.48 0 0 1 1.3 3.9c0 1.313-.39 2.537-1.06 3.56a1 1 0 0 1-1.673-1.096A4.47 4.47 0 0 0 16.5 12a4.47 4.47 0 0 0-.9-2.7 1 1 0 0 1 .2-1.4" clip-rule="evenodd"></path></svg></span></button></span><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M7 5a3 3 0 0 1 3-3h9a3 3 0 0 1 3 3v9a3 3 0 0 1-3 3h-2v2a3 3 0 0 1-3 3H5a3 3 0 0 1-3-3v-9a3 3 0 0 1 3-3h2zm2 2h5a3 3 0 0 1 3 3v5h2a1 1 0 0 0 1-1V5a1 1 0 0 0-1-1h-9a1 1 0 0 0-1 1zM5 9a1 1 0 0 0-1 1v9a1 1 0 0 0 1 1h9a1 1 0 0 0 1-1v-9a1 1 0 0 0-1-1z" clip-rule="evenodd"></path></svg></span></button></span><div class="flex"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11.873 21.496a1 1 0 0 1-.992.496l-.454-.056A4 4 0 0 1 7.1 16.79L7.65 15h-.718c-2.637 0-4.553-2.508-3.859-5.052l1.364-5A4 4 0 0 1 8.296 2h9.709a3 3 0 0 1 3 3v7a3 3 0 0 1-3 3h-2c-.26 0-.5.14-.628.364zM14.005 4h-5.71a2 2 0 0 0-1.929 1.474l-1.363 5A2 2 0 0 0 6.933 13h2.072a1 1 0 0 1 .955 1.294l-.949 3.084a2 2 0 0 0 1.462 2.537l3.167-5.543a2.72 2.72 0 0 1 1.364-1.182V5a1 1 0 0 0-1-1m3 9V5c0-.35-.06-.687-.171-1h1.17a1 1 0 0 1 1 1v7a1 1 0 0 1-1 1z" clip-rule="evenodd"></path></svg></span></button></span></div><span class="" data-state="closed"><button type="button" id="radix-:r7j:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="cursor-pointer h-[30px] rounded-md px-1 text-token-text-secondary hover:bg-token-main-surface-secondary"><div class="flex items-center pb-0"><div class="[&_svg]:h-full [&_svg]:w-full icon-md h-4 w-4"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24"><path fill="currentColor" d="M19.898.855a.4.4 0 0 0-.795 0c-.123 1.064-.44 1.802-.943 2.305-.503.503-1.241.82-2.306.943a.4.4 0 0 0 .001.794c1.047.119 1.801.436 2.317.942.512.504.836 1.241.93 2.296a.4.4 0 0 0 .796 0c.09-1.038.413-1.792.93-2.308.515-.516 1.269-.839 2.306-.928a.4.4 0 0 0 .001-.797c-1.055-.094-1.792-.418-2.296-.93-.506-.516-.823-1.27-.941-2.317Z"></path><path fill="currentColor" d="M12.001 1.5a1 1 0 0 1 .993.887c.313 2.77 1.153 4.775 2.5 6.146 1.34 1.366 3.3 2.223 6.095 2.47a1 1 0 0 1-.003 1.993c-2.747.238-4.75 1.094-6.123 2.467-1.373 1.374-2.229 3.376-2.467 6.123a1 1 0 0 1-1.992.003c-.248-2.795-1.105-4.754-2.47-6.095-1.372-1.347-3.376-2.187-6.147-2.5a1 1 0 0 1-.002-1.987c2.818-.325 4.779-1.165 6.118-2.504 1.339-1.34 2.179-3.3 2.504-6.118A1 1 0 0 1 12 1.5ZM6.725 11.998c1.234.503 2.309 1.184 3.21 2.069.877.861 1.56 1.888 2.063 3.076.5-1.187 1.18-2.223 2.051-3.094.871-.87 1.907-1.55 3.094-2.05-1.188-.503-2.215-1.187-3.076-2.064-.885-.901-1.566-1.976-2.069-3.21-.505 1.235-1.19 2.3-2.081 3.192-.891.89-1.957 1.576-3.192 2.082Z"></path></svg></div><span class="overflow-hidden text-clip whitespace-nowrap text-sm" style="opacity: 0; padding-left: 0px; width: 0px;">4o</span><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-sm text-token-text-quaternary"><path fill="currentColor" fill-rule="evenodd" d="M5.293 9.293a1 1 0 0 1 1.414 0L12 14.586l5.293-5.293a1 1 0 1 1 1.414 1.414l-6 6a1 1 0 0 1-1.414 0l-6-6a1 1 0 0 1 0-1.414" clip-rule="evenodd"></path></svg></div></button></span></div></div></div><div class="pr-2 lg:pr-0"></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-28" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="group/conversation-turn relative flex w-full min-w-0 flex-col"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="user" data-message-id="bbb21fef-ad55-47c8-9c13-4f344e529333" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start"><div class="relative max-w-[70%] rounded-3xl bg-[#f4f4f4] px-5 py-2.5 dark:bg-token-main-surface-secondary"><div>I wanted to argue that the kicking and swimming motions during the womb contributed to skeletal development and that maybe sexual dimorphism might also stem from activity levels. Maybe male babies sit more still and this affects collagen or testosterone levels.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-29" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="flex-shrink-0 flex flex-col relative items-end"><div><div class="pt-0"><div class="gizmo-bot-avatar flex h-8 w-8 items-center justify-center overflow-hidden rounded-full"><div class="relative p-1 rounded-sm flex items-center justify-center bg-token-main-surface-primary text-token-text-primary h-8 w-8"><svg width="41" height="41" viewBox="0 0 41 41" fill="none" xmlns="http://www.w3.org/2000/svg" class="icon-md" role="img"><text x="-9999" y="-9999">ChatGPT</text><path d="M37.5324 16.8707C37.9808 15.5241 38.1363 14.0974 37.9886 12.6859C37.8409 11.2744 37.3934 9.91076 36.676 8.68622C35.6126 6.83404 33.9882 5.3676 32.0373 4.4985C30.0864 3.62941 27.9098 3.40259 25.8215 3.85078C24.8796 2.7893 23.7219 1.94125 22.4257 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16.0837 11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="9da7404d-9946-412c-8d21-fe9f443c7a2b" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><h3>Interactive Feedback Hypothesis: Unraveling the Choreography of Embryonic Development</h3><p>Embryonic development is a complex, dynamic process influenced by numerous factors that interact in intricate ways. This essay delves into the "Interactive Feedback Hypothesis," a theoretical framework proposing that embryonic development is driven by a continuous interplay of genetic, biochemical, mechanical, and behavioral factors. By exploring the mechanisms of gene regulatory networks, the role of collagen deployment, the organization of the extracellular matrix (ECM), and fetal movements, we can better understand how these elements work together to shape the developing organism and contribute to sexual dimorphism.</p><h4>Gene Regulatory Networks and Developmental Feedback</h4><p>Gene regulatory networks (GRNs) are central to the Interactive Feedback Hypothesis. These networks depict the interactions between genes and regulatory factors, capturing the positive and negative feedback loops that influence gene expression. The regulatory elements of genes perform logical operations (AND, OR, NOT) based on the presence or absence of specific transcriptional regulators. For example, the lac operon in E. coli is regulated in a binary fashion, but most gene regulation in multicellular organisms is more graded and probabilistic.</p><p>In the context of embryonic development, GRNs do not operate in isolation. Instead, they are part of a larger, interlocking dynamical system that evolves over time. This system can tend toward various stable attractor states, representing different developmental outcomes. The Interactive Feedback Hypothesis posits that these attractor states are influenced not only by genetic information but also by mechanical and biochemical signals from the developing tissues.</p><h4>Collagen Deployment and Sexual Dimorphism</h4><p>One of the key components influenced by GRNs is collagen, a structural protein critical for the integrity and elasticity of skin and connective tissues. Men and women have different collagen levels, which contributes to sexual dimorphism in body shape, facial structure, and fat distribution. The Interactive Feedback Hypothesis suggests that differential collagen deployment is modulated by genetic and hormonal factors, which are themselves influenced by feedback from mechanical forces and tissue interactions.</p><p>From early development, these differences in collagen levels can affect the viscosity and flexibility of skin and connective tissues. Using the analogy of balloons with different thicknesses, we can visualize how thicker, denser collagen in men results in firmer, more defined body shapes, while thinner collagen in women leads to softer contours and more distributed fat storage. This dynamic interplay between collagen deployment and mechanical forces exemplifies the feedback mechanisms central to the hypothesis.</p><h4>Extracellular Matrix and Mechanical Feedback</h4><p>The organization of the extracellular matrix (ECM) provides a foundational pillar for the Interactive Feedback Hypothesis. The ECM is a complex network of proteins, including collagen, that provides structural support and regulates various cellular functions. Mechanical feedback from the ECM to the cells plays a crucial role in guiding tissue organization and development. Changes in the ECM’s composition and mechanical properties can influence cell behavior, gene expression, and ultimately, the developmental trajectory of the organism.</p><p>The hypothesis also highlights the role of growth factor distribution. Growth factors are biochemical signals that regulate cell proliferation, differentiation, and migration. Their distribution is influenced by the ECM and can create gradients that guide tissue patterning. This biochemical feedback loop, coupled with mechanical signals from the ECM, ensures that cells receive the appropriate cues for proper development.</p><h4>Fetal Movements and Skeletal Development</h4><p>A critical aspect of the Interactive Feedback Hypothesis is the role of fetal movements, such as kicking and swimming motions, in skeletal development. These movements generate mechanical forces that stimulate bone growth and development. The hypothesis suggests that the activity levels of male and female fetuses could contribute to differences in skeletal structure and collagen levels, thereby influencing sexual dimorphism.</p><p>If male fetuses tend to move less than female fetuses, this could result in differences in the mechanical forces experienced by their developing bones and connective tissues. Reduced movement might lead to lower collagen synthesis or altered collagen organization, influenced by lower mechanical stimulation. Additionally, differences in activity levels could affect testosterone levels, which play a significant role in the development of male-specific traits.</p><h4>A Holistic View of Embryonic Development</h4><p>The Interactive Feedback Hypothesis presents a holistic view of embryonic development, suggesting a symbiotic relationship between genetic, biochemical, mechanical, and behavioral factors. This framework proposes that development is not a linear, one-way process directed solely by genetic information. Instead, it is a dynamic interplay where mechanical forces, biochemical signals, and fetal movements provide continuous feedback to the developing tissues, shaping their form and function in real-time.</p><p>By integrating concepts from gene regulatory networks, collagen deployment, ECM organization, and fetal movements, the Interactive Feedback Hypothesis offers a comprehensive narrative on the choreography of embryonic development. This perspective emphasizes the importance of considering multiple layers of interaction to fully understand the complexity of developmental processes and sexual dimorphism.</p><h4>Conclusion</h4><p>In conclusion, the Interactive Feedback Hypothesis offers a compelling narrative on the integral role of mechanical forces, biochemical signals, genetic information, and fetal activity in shaping embryonic development. By unraveling the intricate feedback loops between these factors, this hypothesis provides a deeper understanding of how the developing organism orchestrates its growth and differentiation. Future research in this area promises to shed further light on the dynamic interplay of these elements, offering new insights into developmental biology and potential applications in medicine and biotechnology.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 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py-2.5 dark:bg-token-main-surface-secondary"><div>I wanted to argue that babies of jet pilots or race car drivers would have a more stimulating developmental environment and learn more about inertia then those from mothers who are bedridden or confined.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 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14.8717L27.1045 10.2712C26.906 10.1554 26.6803 10.0943 26.4504 10.0943C26.2206 10.0943 25.9948 10.1554 25.7963 10.2712L16.0726 15.8858V11.9982C16.0715 11.9783 16.0753 11.9585 16.0837 11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="9fe91efc-765a-46a4-b9ee-038a51e88ff8" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><h3>Interactive Feedback Hypothesis: Unraveling the Choreography of Embryonic Development</h3><p>Embryonic development is a complex, dynamic process influenced by numerous factors that interact in intricate ways. This essay delves into the "Interactive Feedback Hypothesis," a theoretical framework proposing that embryonic development is driven by a continuous interplay of genetic, biochemical, mechanical, and behavioral factors. By exploring the mechanisms of gene regulatory networks, the role of collagen deployment, the organization of the extracellular matrix (ECM), fetal movements, and the influence of maternal activity levels, we can better understand how these elements work together to shape the developing organism and contribute to sexual dimorphism.</p><h4>Gene Regulatory Networks and Developmental Feedback</h4><p>Gene regulatory networks (GRNs) are central to the Interactive Feedback Hypothesis. These networks depict the interactions between genes and regulatory factors, capturing the positive and negative feedback loops that influence gene expression. The regulatory elements of genes perform logical operations (AND, OR, NOT) based on the presence or absence of specific transcriptional regulators. For example, the lac operon in E. coli is regulated in a binary fashion, but most gene regulation in multicellular organisms is more graded and probabilistic.</p><p>In the context of embryonic development, GRNs do not operate in isolation. Instead, they are part of a larger, interlocking dynamical system that evolves over time. This system can tend toward various stable attractor states, representing different developmental outcomes. The Interactive Feedback Hypothesis posits that these attractor states are influenced not only by genetic information but also by mechanical and biochemical signals from the developing tissues.</p><h4>Collagen Deployment and Sexual Dimorphism</h4><p>One of the key components influenced by GRNs is collagen, a structural protein critical for the integrity and elasticity of skin and connective tissues. Men and women have different collagen levels, which contributes to sexual dimorphism in body shape, facial structure, and fat distribution. The Interactive Feedback Hypothesis suggests that differential collagen deployment is modulated by genetic and hormonal factors, which are themselves influenced by feedback from mechanical forces and tissue interactions.</p><p>From early development, these differences in collagen levels can affect the viscosity and flexibility of skin and connective tissues. Using the analogy of balloons with different thicknesses, we can visualize how thicker, denser collagen in men results in firmer, more defined body shapes, while thinner collagen in women leads to softer contours and more distributed fat storage. This dynamic interplay between collagen deployment and mechanical forces exemplifies the feedback mechanisms central to the hypothesis.</p><h4>Extracellular Matrix and Mechanical Feedback</h4><p>The organization of the extracellular matrix (ECM) provides a foundational pillar for the Interactive Feedback Hypothesis. The ECM is a complex network of proteins, including collagen, that provides structural support and regulates various cellular functions. Mechanical feedback from the ECM to the cells plays a crucial role in guiding tissue organization and development. Changes in the ECM’s composition and mechanical properties can influence cell behavior, gene expression, and ultimately, the developmental trajectory of the organism.</p><p>The hypothesis also highlights the role of growth factor distribution. Growth factors are biochemical signals that regulate cell proliferation, differentiation, and migration. Their distribution is influenced by the ECM and can create gradients that guide tissue patterning. This biochemical feedback loop, coupled with mechanical signals from the ECM, ensures that cells receive the appropriate cues for proper development.</p><h4>Fetal Movements and Skeletal Development</h4><p>A critical aspect of the Interactive Feedback Hypothesis is the role of fetal movements, such as kicking and swimming motions, in skeletal development. These movements generate mechanical forces that stimulate bone growth and development. The hypothesis suggests that the activity levels of male and female fetuses could contribute to differences in skeletal structure and collagen levels, thereby influencing sexual dimorphism.</p><p>If male fetuses tend to move less than female fetuses, this could result in differences in the mechanical forces experienced by their developing bones and connective tissues. Reduced movement might lead to lower collagen synthesis or altered collagen organization, influenced by lower mechanical stimulation. Additionally, differences in activity levels could affect testosterone levels, which play a significant role in the development of male-specific traits.</p><h4>Maternal Activity Levels and Fetal Development</h4><p>Extending the Interactive Feedback Hypothesis, the physical activity levels of the mother during pregnancy can also impact fetal development. Babies of jet pilots, race car drivers, or other physically active mothers may experience more varied and stimulating environments in utero compared to those of bedridden or confined mothers. This increased exposure to different physical forces and movements could influence fetal development in several ways:</p><ul><li><strong>Inertia and Mechanical Forces</strong>: The fetus in an active mother might experience varying levels of inertia and mechanical forces, potentially stimulating skeletal development and influencing body structure.</li><li><strong>Enhanced Movement Stimuli</strong>: Active mothers provide a more dynamic environment, which could lead to more frequent and varied fetal movements, promoting stronger bones and muscles.</li><li><strong>Collagen and Tissue Development</strong>: Increased mechanical stimulation from the mother's activity levels could enhance collagen synthesis and organization, contributing to a more robust connective tissue structure.</li></ul><h4>A Holistic View of Embryonic Development</h4><p>The Interactive Feedback Hypothesis presents a holistic view of embryonic development, suggesting a symbiotic relationship between genetic, biochemical, mechanical, and behavioral factors. This framework proposes that development is not a linear, one-way process directed solely by genetic information. Instead, it is a dynamic interplay where mechanical forces, biochemical signals, fetal movements, and maternal activity levels provide continuous feedback to the developing tissues, shaping their form and function in real-time.</p><p>By integrating concepts from gene regulatory networks, collagen deployment, ECM organization, fetal movements, and maternal activity, the Interactive Feedback Hypothesis offers a comprehensive narrative on the choreography of embryonic development. This perspective emphasizes the importance of considering multiple layers of interaction to fully understand the complexity of developmental processes and sexual dimorphism.</p><h4>Conclusion</h4><p>In conclusion, the Interactive Feedback Hypothesis offers a compelling narrative on the integral role of mechanical forces, biochemical signals, genetic information, fetal activity, and maternal movement in shaping embryonic development. By unraveling the intricate feedback loops between these factors, this hypothesis provides a deeper understanding of how the developing organism orchestrates its growth and differentiation. Future research in this area promises to shed further light on the dynamic interplay of these elements, offering new insights into developmental biology and potential applications in medicine and biotechnology.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 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py-2.5 dark:bg-token-main-surface-secondary"><div>Connections to our earlier discussions.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" clip-rule="evenodd"></path></svg></button></span></div></div></div></div></div></div></div></div></div></div><div class="w-full text-token-text-primary" dir="auto" data-testid="conversation-turn-33" data-scroll-anchor="false"><div class="text-base py-[18px] px-3 md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><div class="flex-shrink-0 flex flex-col relative items-end"><div><div class="pt-0"><div class="gizmo-bot-avatar flex h-8 w-8 items-center justify-center overflow-hidden rounded-full"><div class="relative p-1 rounded-sm flex items-center justify-center bg-token-main-surface-primary text-token-text-primary h-8 w-8"><svg width="41" height="41" viewBox="0 0 41 41" fill="none" xmlns="http://www.w3.org/2000/svg" class="icon-md" role="img"><text x="-9999" y="-9999">ChatGPT</text><path d="M37.5324 16.8707C37.9808 15.5241 38.1363 14.0974 37.9886 12.6859C37.8409 11.2744 37.3934 9.91076 36.676 8.68622C35.6126 6.83404 33.9882 5.3676 32.0373 4.4985C30.0864 3.62941 27.9098 3.40259 25.8215 3.85078C24.8796 2.7893 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11.9783 16.0753 11.9585 16.0837 11.9405C16.0921 11.9225 16.1048 11.9068 16.1207 11.8949L24.1719 7.25025C25.4053 6.53903 26.8158 6.19376 28.2383 6.25482C29.6608 6.31589 31.0364 6.78077 32.2044 7.59508C33.3723 8.40939 34.2842 9.53945 34.8334 10.8531C35.3826 12.1667 35.5464 13.6095 35.3055 15.0128ZM14.2424 21.9419L10.8752 19.9981C10.8576 19.9893 10.8423 19.9763 10.8309 19.9602C10.8195 19.9441 10.8122 19.9254 10.8098 19.9058V10.6071C10.8107 9.18295 11.2173 7.78848 11.9819 6.58696C12.7466 5.38544 13.8377 4.42659 15.1275 3.82264C16.4173 3.21869 17.8524 2.99464 19.2649 3.1767C20.6775 3.35876 22.0089 3.93941 23.1034 4.85067C23.0427 4.88379 22.937 4.94215 22.8668 4.98473L14.9024 9.58517C14.7025 9.69878 14.5366 9.86356 14.4215 10.0626C14.3065 10.2616 14.2466 10.4877 14.2479 10.7175L14.2424 21.9419ZM16.071 17.9991L20.4018 15.4978L24.7325 17.9975V22.9985L20.4018 25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="5173c5fa-db01-4b0b-ac51-c7ce69759016" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><h3>Interactive Feedback Hypothesis: Unraveling the Choreography of Embryonic Development</h3><p>Embryonic development is a complex, dynamic process influenced by numerous factors that interact in intricate ways. This essay delves into the "Interactive Feedback Hypothesis," a theoretical framework proposing that embryonic development is driven by a continuous interplay of genetic, biochemical, mechanical, and behavioral factors. By exploring the mechanisms of gene regulatory networks, the role of collagen deployment, the organization of the extracellular matrix (ECM), fetal movements, and the influence of maternal activity levels, we can better understand how these elements work together to shape the developing organism and contribute to sexual dimorphism.</p><h4>Gene Regulatory Networks and Developmental Feedback</h4><p>Gene regulatory networks (GRNs) are central to the Interactive Feedback Hypothesis. These networks depict the interactions between genes and regulatory factors, capturing the positive and negative feedback loops that influence gene expression. The regulatory elements of genes perform logical operations (AND, OR, NOT) based on the presence or absence of specific transcriptional regulators. For example, the lac operon in E. coli is regulated in a binary fashion, but most gene regulation in multicellular organisms is more graded and probabilistic.</p><p>In the context of embryonic development, GRNs do not operate in isolation. Instead, they are part of a larger, interlocking dynamical system that evolves over time. This system can tend toward various stable attractor states, representing different developmental outcomes. The Interactive Feedback Hypothesis posits that these attractor states are influenced not only by genetic information but also by mechanical and biochemical signals from the developing tissues.</p><p>Connecting this to our earlier discussions on the genome as a generative model, we can see that GRNs exemplify how the genome does not contain direct endpoint information but rather a set of parameters that influence development through complex interactions. These networks embody the latent variables and compressed information that guide the organism’s growth, akin to how generative models in machine learning function.</p><h4>Collagen Deployment and Sexual Dimorphism</h4><p>One of the key components influenced by GRNs is collagen, a structural protein critical for the integrity and elasticity of skin and connective tissues. Men and women have different collagen levels, which contributes to sexual dimorphism in body shape, facial structure, and fat distribution. The Interactive Feedback Hypothesis suggests that differential collagen deployment is modulated by genetic and hormonal factors, which are themselves influenced by feedback from mechanical forces and tissue interactions.</p><p>From early development, these differences in collagen levels can affect the viscosity and flexibility of skin and connective tissues. Using the analogy of balloons with different thicknesses, we can visualize how thicker, denser collagen in men results in firmer, more defined body shapes, while thinner collagen in women leads to softer contours and more distributed fat storage. This dynamic interplay between collagen deployment and mechanical forces exemplifies the feedback mechanisms central to the hypothesis.</p><p>This directly ties back to our discussion on how the genome instantiates a generative model of the organism. The variations in collagen deployment, influenced by GRNs and hormonal signals, are part of the generative process that produces sexual dimorphism. These processes reflect the indirect, distributed, and non-linear nature of genomic encoding.</p><h4>Extracellular Matrix and Mechanical Feedback</h4><p>The organization of the extracellular matrix (ECM) provides a foundational pillar for the Interactive Feedback Hypothesis. The ECM is a complex network of proteins, including collagen, that provides structural support and regulates various cellular functions. Mechanical feedback from the ECM to the cells plays a crucial role in guiding tissue organization and development. Changes in the ECM’s composition and mechanical properties can influence cell behavior, gene expression, and ultimately, the developmental trajectory of the organism.</p><p>The hypothesis also highlights the role of growth factor distribution. Growth factors are biochemical signals that regulate cell proliferation, differentiation, and migration. Their distribution is influenced by the ECM and can create gradients that guide tissue patterning. This biochemical feedback loop, coupled with mechanical signals from the ECM, ensures that cells receive the appropriate cues for proper development.</p><p>This idea resonates with our earlier discussions on how gene regulatory networks and mechanical forces guide development, reflecting the non-deterministic and emergent nature of the developmental process.</p><h4>Fetal Movements and Skeletal Development</h4><p>A critical aspect of the Interactive Feedback Hypothesis is the role of fetal movements, such as kicking and swimming motions, in skeletal development. These movements generate mechanical forces that stimulate bone growth and development. The hypothesis suggests that the activity levels of male and female fetuses could contribute to differences in skeletal structure and collagen levels, thereby influencing sexual dimorphism.</p><p>If male fetuses tend to move less than female fetuses, this could result in differences in the mechanical forces experienced by their developing bones and connective tissues. Reduced movement might lead to lower collagen synthesis or altered collagen organization, influenced by lower mechanical stimulation. Additionally, differences in activity levels could affect testosterone levels, which play a significant role in the development of male-specific traits.</p><h4>Maternal Activity Levels and Fetal Development</h4><p>Extending the Interactive Feedback Hypothesis, the physical activity levels of the mother during pregnancy can also impact fetal development. Babies of jet pilots, race car drivers, or other physically active mothers may experience more varied and stimulating environments in utero compared to those of bedridden or confined mothers. This increased exposure to different physical forces and movements could influence fetal development in several ways:</p><ul><li><strong>Inertia and Mechanical Forces</strong>: The fetus in an active mother might experience varying levels of inertia and mechanical forces, potentially stimulating skeletal development and influencing body structure.</li><li><strong>Enhanced Movement Stimuli</strong>: Active mothers provide a more dynamic environment, which could lead to more frequent and varied fetal movements, promoting stronger bones and muscles.</li><li><strong>Collagen and Tissue Development</strong>: Increased mechanical stimulation from the mother's activity levels could enhance collagen synthesis and organization, contributing to a more robust connective tissue structure.</li></ul><p>These points align with the generative model of the genome, where the developmental environment, including maternal activity, acts as a key factor in shaping the organism’s form through complex feedback loops.</p><h4>A Holistic View of Embryonic Development</h4><p>The Interactive Feedback Hypothesis presents a holistic view of embryonic development, suggesting a symbiotic relationship between genetic, biochemical, mechanical, and behavioral factors. This framework proposes that development is not a linear, one-way process directed solely by genetic information. Instead, it is a dynamic interplay where mechanical forces, biochemical signals, fetal movements, and maternal activity levels provide continuous feedback to the developing tissues, shaping their form and function in real-time.</p><p>By integrating concepts from gene regulatory networks, collagen deployment, ECM organization, fetal movements, and maternal activity, the Interactive Feedback Hypothesis offers a comprehensive narrative on the choreography of embryonic development. This perspective emphasizes the importance of considering multiple layers of interaction to fully understand the complexity of developmental processes and sexual dimorphism.</p><h4>Conclusion</h4><p>In conclusion, the Interactive Feedback Hypothesis offers a compelling narrative on the integral role of mechanical forces, biochemical signals, genetic information, fetal activity, and maternal movement in shaping embryonic development. By unraveling the intricate feedback loops between these factors, this hypothesis provides a deeper understanding of how the developing organism orchestrates its growth and differentiation. Future research in this area promises to shed further light on the dynamic interplay of these elements, offering new insights into developmental biology and potential applications in medicine and biotechnology. This hypothesis seamlessly connects to our earlier discussions on the genome as a generative model, highlighting the multifaceted and dynamic nature of embryonic development.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 z-10 -mt-1 bg-token-main-surface-primary md:absolute md:border md:border-token-border-light md:hidden"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 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py-2.5 dark:bg-token-main-surface-secondary"><div>Maybe give a satirical and humorous review, arguing that like baby sharks human babies are constantly swimming, kicking, and swinging their arms and this has an impact on their morphology.</div><div class="absolute bottom-0 right-full top-0 -mr-3.5 hidden pr-5 pt-1 [.group\/conversation-turn:hover_&]:block"><span class="" data-state="closed"><button class="flex h-9 w-9 items-center justify-center rounded-full text-token-text-secondary transition hover:bg-token-main-surface-tertiary"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md"><path fill="currentColor" fill-rule="evenodd" d="M13.293 4.293a4.536 4.536 0 1 1 6.414 6.414l-1 1-7.094 7.094A5 5 0 0 1 8.9 20.197l-4.736.79a1 1 0 0 1-1.15-1.151l.789-4.736a5 5 0 0 1 1.396-2.713zM13 7.414l-6.386 6.387a3 3 0 0 0-.838 1.628l-.56 3.355 3.355-.56a3 3 0 0 0 1.628-.837L16.586 11zm5 2.172L14.414 6l.293-.293a2.536 2.536 0 0 1 3.586 3.586z" 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25.4983L16.071 22.9985V17.9991Z" fill="currentColor"></path></svg></div></div></div></div></div><div class="group/conversation-turn relative flex w-full min-w-0 flex-col agent-turn"><div class="flex-col gap-1 md:gap-3"><div class="flex flex-grow flex-col max-w-full"><div data-message-author-role="assistant" data-message-id="e2cc9d53-d10e-4e0d-bdf0-25c2c280946b" dir="auto" class="min-h-[20px] text-message flex w-full flex-col items-end gap-2 whitespace-pre-wrap break-words [.text-message+&]:mt-5 overflow-x-auto"><div class="flex w-full flex-col gap-1 empty:hidden first:pt-[3px]"><div class="markdown prose w-full break-words dark:prose-invert dark"><h3>Interactive Feedback Hypothesis: The Baby Shark Tango</h3><p>In a world where baby sharks are revered for their relentless swimming, humanity has discovered a surprising parallel: human babies. Yes, you heard that right. Human babies, those tiny bundles of joy (and occasional screams), are not just adorably chubby and prone to unexpected projectile bodily functions. They are, in fact, mini-athletes constantly engaged in a prenatal aquatic ballet that shapes their very being. Welcome to the "Interactive Feedback Hypothesis: The Baby Shark Tango."</p><h4>Gene Regulatory Networks: The Choreographers</h4><p>Imagine gene regulatory networks (GRNs) as the world's most obsessive choreographers. These genetic overlords don't just dictate whether a baby should be born with brown hair or blue eyes. No, they are intricately involved in the prenatal performance art known as fetal movement. Picture this: every kick, every wiggle, is a carefully orchestrated act influenced by GRNs. These networks whisper to the developing fetus, "Dance, little one, dance!" ensuring a symphony of kicks and punches that rival any Broadway show.</p><h4>Collagen Deployment: The Set Designers</h4><p>Enter collagen, the unsung hero of structural integrity. If GRNs are the choreographers, then collagen is the set designer, tirelessly working behind the scenes to ensure the baby’s form is nothing short of spectacular. Human fetuses, like baby sharks, rely on a sturdy yet flexible set to perform their aquatic ballet. In male fetuses, collagen deployment is akin to constructing a stage out of steel beams, resulting in firmer, more defined structures. Female fetuses, on the other hand, get a stage of silk and velvet, leading to softer, more elegant movements. The difference in collagen levels is what gives us the variety in human morphology – from the chiseled jawlines of action heroes to the soft contours of a baby’s chubby cheeks.</p><h4>Fetal Movements: The Prenatal Dance-Off</h4><p>Now, let's dive into the main act: the Baby Shark Tango. Human babies, much like their aquatic counterparts, spend their prenatal days perfecting their moves. They kick, they twist, they swim – all within the cozy confines of the womb. This isn’t just a pastime; it's essential training. These movements generate mechanical forces that stimulate bone growth and muscle development. Just as a baby shark's constant swimming readies it for the open sea, a human baby’s prenatal gymnastics prepare it for the rigors of postnatal life. The more vigorous the dance, the stronger the bones and muscles, leading to differences in morphology that would make even Darwin nod in approval.</p><h4>Maternal Activity: The Stage Director's Influence</h4><p>But wait, the plot thickens! Enter the mothers, the stage directors of this prenatal performance. If mom is a jet pilot, zooming through the skies, or a race car driver, zipping around tracks, the baby inside is in for a thrilling ride. These high-adrenaline environments offer a variety of mechanical forces that shape the fetus’s development. On the other hand, if mom is bedridden or confined, the baby’s stage remains relatively static. This difference in prenatal environments means that some babies are practically born ready to compete in the Olympics, while others are more like laid-back couch potatoes – still adorable, but with fewer athletic aspirations.</p><h4>Extracellular Matrix: The Stage Crew</h4><p>Let’s not forget the extracellular matrix (ECM), the stage crew ensuring everything holds together. This complex network of proteins, including our friend collagen, provides structural support and regulates cellular functions. The ECM's role is pivotal, responding to every twist and turn of the fetal dance by adjusting the biochemical cues that guide development. It’s like having a responsive stage that changes with each pirouette and somersault, ensuring the performance goes off without a hitch.</p><h4>Conclusion: The Grand Finale</h4><p>In conclusion, the "Interactive Feedback Hypothesis: The Baby Shark Tango" offers a satirical yet insightful look at the intricate dance of embryonic development. Human babies, much like baby sharks, are engaged in a constant aquatic performance, with every kick and twist contributing to their morphology. From the gene regulatory networks acting as choreographers, collagen as the set designer, to the ECM as the stage crew, and maternal activity as the stage director, this prenatal ballet shapes the future stars of humanity. So next time you see a baby kicking furiously in the womb, remember – they’re just perfecting their moves for the grand stage of life.</p></div></div></div></div><div class="mt-1 flex gap-3 empty:hidden -ml-2"><div class="items-center justify-start rounded-xl p-1 flex"><div class="flex items-center"><span class="" data-state="closed"><button class="rounded-lg text-token-text-secondary hover:bg-token-main-surface-secondary"><span class="flex h-[30px] w-[30px] items-center justify-center"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" fill="none" viewBox="0 0 24 24" class="icon-md-heavy"><path fill="currentColor" fill-rule="evenodd" d="M11 4.91a.5.5 0 0 0-.838-.369L6.676 7.737A1 1 0 0 1 6 8H4a1 1 0 0 0-1 1v6a1 1 0 0 0 1 1h2a1 1 0 0 1 .676.263l3.486 3.196A.5.5 0 0 0 11 19.09zM8.81 3.067C10.415 1.597 13 2.735 13 4.91v14.18c0 2.175-2.586 3.313-4.19 1.843L5.612 18H4a3 3 0 0 1-3-3V9a3 3 0 0 1 3-3h1.611zm11.507 3.29a1 1 0 0 1 1.355.401A10.96 10.96 0 0 1 23 12c0 1.85-.458 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md:px-4 m-auto md:px-5 lg:px-1 xl:px-5"><div class="mx-auto flex flex-1 gap-4 text-base md:gap-5 lg:gap-6 md:max-w-3xl lg:max-w-[40rem] xl:max-w-[48rem]"><form class="w-full" type="button" aria-haspopup="dialog" aria-expanded="false" aria-controls="radix-:r4i:" data-state="closed"><div class="relative flex h-full max-w-full flex-1 flex-col"><div class="absolute bottom-full left-0 right-0 z-20"></div><div class="flex w-full items-center"><div class="flex w-full flex-col gap-1.5 rounded-[26px] p-1.5 transition-colors bg-[#f4f4f4] dark:bg-token-main-surface-secondary"><div class="flex items-end gap-1.5 md:gap-2"><div><div class="flex flex-col"><input multiple="" type="file" tabindex="-1" class="hidden" style="display: none;"><button type="button" id="radix-:r4o:" aria-haspopup="menu" aria-expanded="false" data-state="closed" class="text-token-text-primary border border-transparent inline-flex items-center justify-center gap-1 rounded-lg text-sm dark:transparent dark:bg-transparent 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aria-controls="radix-:r4q:" data-state="closed"></div></div></div><div class="flex min-w-0 flex-1 flex-col"><textarea id="prompt-textarea" tabindex="0" data-id="e2cc9d53-d10e-4e0d-bdf0-25c2c280946b" dir="auto" rows="1" placeholder="Envía un mensaje a ChatGPT" class="m-0 resize-none border-0 bg-transparent px-0 text-token-text-primary focus:ring-0 focus-visible:ring-0 max-h-[25dvh] max-h-52" style="height: 40px; overflow-y: hidden;"></textarea></div><button disabled="" data-testid="send-button" class="mb-1 me-1 flex h-8 w-8 items-center justify-center rounded-full bg-black text-white transition-colors hover:opacity-70 focus-visible:outline-none focus-visible:outline-black disabled:bg-[#D7D7D7] disabled:text-[#f4f4f4] disabled:hover:opacity-100 dark:bg-white dark:text-black dark:focus-visible:outline-white disabled:dark:bg-token-text-quaternary dark:disabled:text-token-main-surface-secondary"><svg xmlns="http://www.w3.org/2000/svg" width="32" height="32" fill="none" viewBox="0 0 32 32" class="icon-2xl"><path fill="currentColor" fill-rule="evenodd" d="M15.192 8.906a1.143 1.143 0 0 1 1.616 0l5.143 5.143a1.143 1.143 0 0 1-1.616 1.616l-3.192-3.192v9.813a1.143 1.143 0 0 1-2.286 0v-9.813l-3.192 3.192a1.143 1.143 0 1 1-1.616-1.616z" clip-rule="evenodd"></path></svg></button></div></div></div></div></form></div></div><div class="relative px-2 py-2 text-center text-xs text-token-text-secondary md:px-[60px]"><span>ChatGPT puede cometer errores. 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::-webkit-datetime-edit-fields-wrapper { padding: 0px; }
::-webkit-date-and-time-value { min-height: 1.5em; }
::-webkit-datetime-edit, ::-webkit-datetime-edit-day-field, ::-webkit-datetime-edit-hour-field, ::-webkit-datetime-edit-meridiem-field, ::-webkit-datetime-edit-millisecond-field, ::-webkit-datetime-edit-minute-field, ::-webkit-datetime-edit-month-field, ::-webkit-datetime-edit-second-field, ::-webkit-datetime-edit-year-field { padding-bottom: 0px; padding-top: 0px; }
select { background-image: url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' fill='none' viewBox='0 0 20 20'%3E%3Cpath stroke='%239B9B9B' stroke-linecap='round' stroke-linejoin='round' stroke-width='1.5' d='m6 8 4 4 4-4'/%3E%3C/svg%3E"); background-repeat: no-repeat; background-size: 1.5em 1.5em; -webkit-print-color-adjust: exact; }
[dir="ltr"] select { background-position: right 0.5rem center; padding-right: 2.5rem; }
[dir="rtl"] select { background-position: left 0.5rem center; padding-left: 2.5rem; }
[multiple] { background-image: none; background-position: 0px 0px; background-repeat: repeat; background-size: initial; -webkit-print-color-adjust: inherit; }
[dir="ltr"] [multiple] { padding-right: 0.75rem; }
[dir="rtl"] [multiple] { padding-left: 0.75rem; }
[type="checkbox"], [type="radio"] { --tw-shadow: 0 0 transparent; appearance: none; background-color: rgb(255, 255, 255); background-origin: border-box; border-color: rgb(155, 155, 155); border-width: 1px; color: rgb(37, 99, 235); display: inline-block; flex-shrink: 0; height: 1rem; padding: 0px; -webkit-print-color-adjust: exact; user-select: none; vertical-align: middle; width: 1rem; }
[type="checkbox"] { border-radius: 0px; }
[type="radio"] { border-radius: 100%; }
[type="checkbox"]:focus, [type="radio"]:focus { --tw-ring-offset-width: 2px; --tw-ring-offset-color: #fff; --tw-ring-color: #2563eb; --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow); outline: transparent solid 2px; outline-offset: 2px; }
[dir="ltr"] [type="checkbox"]:focus, [dir="ltr"] [type="radio"]:focus { --tw-ring-inset: var(--tw-empty,/*!*/ /*!*/); }
[dir="rtl"] [type="checkbox"]:focus, [dir="rtl"] [type="radio"]:focus { --tw-ring-inset: var(--tw-empty, ); }
[type="checkbox"]:checked, [type="radio"]:checked { background-color: currentcolor; background-position: 50% center; background-repeat: no-repeat; background-size: 100% 100%; border-color: transparent; }
[type="checkbox"]:checked { background-image: url("data:image/svg+xml;charset=utf-8,%3Csvg viewBox='0 0 16 16' fill='%23fff' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='M12.207 4.793a1 1 0 0 1 0 1.414l-5 5a1 1 0 0 1-1.414 0l-2-2a1 1 0 0 1 1.414-1.414L6.5 9.086l4.293-4.293a1 1 0 0 1 1.414 0z'/%3E%3C/svg%3E"); }
[type="radio"]:checked { background-image: url("data:image/svg+xml;charset=utf-8,%3Csvg viewBox='0 0 16 16' fill='%23fff' xmlns='http://www.w3.org/2000/svg'%3E%3Ccircle cx='8' cy='8' r='3'/%3E%3C/svg%3E"); }
[type="checkbox"]:checked:focus, [type="checkbox"]:checked:hover, [type="radio"]:checked:focus, [type="radio"]:checked:hover { background-color: currentcolor; border-color: transparent; }
[type="checkbox"]:indeterminate { background-color: currentcolor; background-image: url("data:image/svg+xml;charset=utf-8,%3Csvg xmlns='http://www.w3.org/2000/svg' fill='none' viewBox='0 0 16 16'%3E%3Cpath stroke='%23fff' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' d='M4 8h8'/%3E%3C/svg%3E"); background-position: 50% center; background-repeat: no-repeat; background-size: 100% 100%; border-color: transparent; }
[type="checkbox"]:indeterminate:focus, [type="checkbox"]:indeterminate:hover { background-color: currentcolor; border-color: transparent; }
[type="file"] { background: initial; border-color: inherit; border-radius: 0px; border-width: 0px; font-size: inherit; line-height: inherit; padding: 0px; }
[type="file"]:focus { outline: -webkit-focus-ring-color auto 1px; }
h1 { font-size: 1.875rem; line-height: 2.25rem; }
h1, h2, h3 { font-weight: 600; }
h2, h3 { font-size: 1.5rem; line-height: 2rem; }
input[type="number"]::-webkit-inner-spin-button, input[type="number"]::-webkit-outer-spin-button { appearance: none; margin: 0px; }
*, ::after, ::before { --tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; --tw-rotate: 0; --tw-skew-x: 0; --tw-skew-y: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-pan-x: ; --tw-pan-y: ; --tw-pinch-zoom: ; --tw-scroll-snap-strictness: proximity; --tw-gradient-from-position: ; --tw-gradient-via-position: ; --tw-gradient-to-position: ; --tw-ordinal: ; --tw-slashed-zero: ; --tw-numeric-figure: ; --tw-numeric-spacing: ; --tw-numeric-fraction: ; --tw-ring-inset: ; --tw-ring-offset-width: 0px; --tw-ring-offset-color: #fff; --tw-ring-color: rgba(69,89,164,.5); --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-shadow: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-shadow-colored: 0 0 transparent; --tw-blur: ; --tw-brightness: ; --tw-contrast: ; --tw-grayscale: ; --tw-hue-rotate: ; --tw-invert: ; --tw-saturate: ; --tw-sepia: ; --tw-drop-shadow: ; --tw-backdrop-blur: ; --tw-backdrop-brightness: ; --tw-backdrop-contrast: ; --tw-backdrop-grayscale: ; --tw-backdrop-hue-rotate: ; --tw-backdrop-invert: ; --tw-backdrop-opacity: ; --tw-backdrop-saturate: ; --tw-backdrop-sepia: ; --tw-contain-size: ; --tw-contain-layout: ; --tw-contain-paint: ; --tw-contain-style: ; }
::backdrop { --tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; --tw-rotate: 0; --tw-skew-x: 0; --tw-skew-y: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-pan-x: ; --tw-pan-y: ; --tw-pinch-zoom: ; --tw-scroll-snap-strictness: proximity; --tw-gradient-from-position: ; --tw-gradient-via-position: ; --tw-gradient-to-position: ; --tw-ordinal: ; --tw-slashed-zero: ; --tw-numeric-figure: ; --tw-numeric-spacing: ; --tw-numeric-fraction: ; --tw-ring-inset: ; --tw-ring-offset-width: 0px; --tw-ring-offset-color: #fff; --tw-ring-color: rgba(69,89,164,.5); --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-shadow: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-shadow-colored: 0 0 transparent; --tw-blur: ; --tw-brightness: ; --tw-contrast: ; --tw-grayscale: ; --tw-hue-rotate: ; --tw-invert: ; --tw-saturate: ; --tw-sepia: ; --tw-drop-shadow: ; --tw-backdrop-blur: ; --tw-backdrop-brightness: ; --tw-backdrop-contrast: ; --tw-backdrop-grayscale: ; --tw-backdrop-hue-rotate: ; --tw-backdrop-invert: ; --tw-backdrop-opacity: ; --tw-backdrop-saturate: ; --tw-backdrop-sepia: ; --tw-contain-size: ; --tw-contain-layout: ; --tw-contain-paint: ; --tw-contain-style: ; }
:root { --white: #fff; --black: #000; --gray-50: #f9f9f9; --gray-100: #ececec; --gray-200: #e3e3e3; --gray-300: #cdcdcd; --gray-400: #b4b4b4; --gray-500: #9b9b9b; --gray-600: #676767; --gray-700: #424242; --gray-750: #2f2f2f; --gray-800: #212121; --gray-900: #171717; --gray-950: #0d0d0d; --red-500: #ef4444; --red-700: #b91c1c; --brand-purple: #ab68ff; }
html { --text-primary: var(--gray-950); --text-secondary: #7d7d7d; --text-tertiary: var(--gray-400); --text-quaternary: var(--gray-300); --text-error: #f93a37; --surface-error: 249 58 55; --border-light: rgba(0,0,0,.1); --border-medium: rgba(0,0,0,.15); --border-heavy: rgba(0,0,0,.2); --border-xheavy: rgba(0,0,0,.25); --main-surface-primary: var(--white); --main-surface-secondary: var(--gray-50); --main-surface-tertiary: var(--gray-100); --sidebar-surface-primary: var(--gray-50); --sidebar-surface-secondary: var(--gray-100); --sidebar-surface-tertiary: var(--gray-200); --link: #2964aa; --link-hover: #749ac8; --selection: #007aff; }
.dark { --text-primary: var(--gray-100); --text-secondary: var(--gray-400); --text-tertiary: var(--gray-500); --text-quaternary: var(--gray-600); --text-error: #f93a37; --border-light: hsla(0,0%,100%,.1); --border-medium: hsla(0,0%,100%,.15); --border-heavy: hsla(0,0%,100%,.2); --border-xheavy: hsla(0,0%,100%,.25); --main-surface-primary: var(--gray-800); --main-surface-secondary: var(--gray-750); --main-surface-tertiary: var(--gray-700); --sidebar-surface-primary: var(--gray-900); --sidebar-surface-secondary: var(--gray-800); --sidebar-surface-tertiary: var(--gray-750); --link: #7ab7ff; --link-hover: #5e83b3; --surface-error: 249 58 55; }
.popover { --main-surface-primary: var(--white) !important; --main-surface-secondary: var(--gray-100) !important; --main-surface-tertiary: var(--gray-200) !important; --sidebar-surface-primary: var(--white) !important; }
.dark .popover, .dark.popover, .popover .dark { --main-surface-primary: var(--gray-750) !important; --main-surface-secondary: var(--gray-700) !important; --main-surface-tertiary: var(--gray-600) !important; --text-primary: var(--gray-50) !important; --text-secondary: var(--gray-200) !important; --text-tertiary: var(--gray-400) !important; --text-quaternary: var(--gray-500) !important; --sidebar-surface-primary: var(--gray-750) !important; }
textarea:focus { border-color: inherit; box-shadow: none; outline: none; }
.container { width: 100%; }
@media (min-width: 480px) {
.container { max-width: 480px; }
}
@media (min-width: 640px) {
.container { max-width: 640px; }
}
@media (min-width: 768px) {
.container { max-width: 768px; }
}
@media (min-width: 1024px) {
.container { max-width: 1024px; }
}
@media (min-width: 1280px) {
.container { max-width: 1280px; }
}
@media (min-width: 1536px) {
.container { max-width: 1536px; }
}
.prose { color: var(--tw-prose-body); max-width: 65ch; }
.prose :where([class~="lead"]):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-lead); font-size: 1.25em; line-height: 1.6; margin-bottom: 1.2em; margin-top: 1.2em; }
.prose :where(a):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-links); font-weight: 500; text-decoration: underline; }
.prose :where(strong):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-bold); font-weight: 600; }
.prose :where(a strong):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(blockquote strong):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(thead th strong):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(ol):not(:where([class~="not-prose"] *)) { list-style-type: decimal; margin-bottom: 1.25em; margin-top: 1.25em; }
[dir="ltr"] .prose :where(ol):not(:where([class~="not-prose"] *)) { padding-left: 1.625em; }
[dir="rtl"] .prose :where(ol):not(:where([class~="not-prose"] *)) { padding-right: 1.625em; }
.prose :where(ol[type="A"]):not(:where([class~="not-prose"] *)) { list-style-type: upper-alpha; }
.prose :where(ol[type="a"]):not(:where([class~="not-prose"] *)) { list-style-type: lower-alpha; }
.prose :where():not(:where([class~="not-prose"] *)) { list-style-type: upper-alpha; }
.prose :where():not(:where([class~="not-prose"] *)) { list-style-type: lower-alpha; }
.prose :where(ol[type="I"]):not(:where([class~="not-prose"] *)) { list-style-type: upper-roman; }
.prose :where(ol[type="i"]):not(:where([class~="not-prose"] *)) { list-style-type: lower-roman; }
.prose :where():not(:where([class~="not-prose"] *)) { list-style-type: upper-roman; }
.prose :where():not(:where([class~="not-prose"] *)) { list-style-type: lower-roman; }
.prose :where(ol[type="1"]):not(:where([class~="not-prose"] *)) { list-style-type: decimal; }
.prose :where(ul):not(:where([class~="not-prose"] *)) { list-style-type: disc; margin-bottom: 1.25em; margin-top: 1.25em; }
[dir="ltr"] .prose :where(ul):not(:where([class~="not-prose"] *)) { padding-left: 1.625em; }
[dir="rtl"] .prose :where(ul):not(:where([class~="not-prose"] *)) { padding-right: 1.625em; }
.prose :where(ol > li):not(:where([class~="not-prose"] *))::marker { color: var(--tw-prose-counters); font-weight: 400; }
.prose :where(ul > li):not(:where([class~="not-prose"] *))::marker { color: var(--tw-prose-bullets); }
.prose :where(hr):not(:where([class~="not-prose"] *)) { border-color: var(--tw-prose-hr); border-top-width: 1px; margin-bottom: 3em; margin-top: 3em; }
.prose :where(blockquote):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-quotes); font-style: normal; font-weight: 500; margin-bottom: 1.6em; margin-top: 1.6em; quotes: "“" "”" "‘" "’"; }
[dir="ltr"] .prose :where(blockquote):not(:where([class~="not-prose"] *)) { border-left-color: var(--tw-prose-quote-borders); border-left-width: 0.25rem; padding-left: 1em; }
[dir="rtl"] .prose :where(blockquote):not(:where([class~="not-prose"] *)) { border-right-color: var(--tw-prose-quote-borders); border-right-width: 0.25rem; padding-right: 1em; }
.prose :where(blockquote p:first-of-type):not(:where([class~="not-prose"] *))::before { content: open-quote; }
.prose :where(blockquote p:last-of-type):not(:where([class~="not-prose"] *))::after { content: close-quote; }
.prose :where(h1):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-headings); font-size: 2.25em; font-weight: 800; line-height: 1.11111; margin-bottom: 0.888889em; margin-top: 0px; }
.prose :where(h1 strong):not(:where([class~="not-prose"] *)) { color: inherit; font-weight: 900; }
.prose :where(h2):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-headings); font-size: 1.5em; font-weight: 700; line-height: 1.33333; margin-bottom: 1em; margin-top: 2em; }
.prose :where(h2 strong):not(:where([class~="not-prose"] *)) { color: inherit; font-weight: 800; }
.prose :where(h3):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-headings); font-size: 1.25em; font-weight: 600; line-height: 1.6; margin-bottom: 0.6em; margin-top: 1.6em; }
.prose :where(h3 strong):not(:where([class~="not-prose"] *)) { color: inherit; font-weight: 700; }
.prose :where(h4):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-headings); font-weight: 600; line-height: 1.5; margin-bottom: 0.5em; margin-top: 1.5em; }
.prose :where(h4 strong):not(:where([class~="not-prose"] *)) { color: inherit; font-weight: 700; }
.prose :where(img):not(:where([class~="not-prose"] *)) { margin-bottom: 2em; margin-top: 2em; }
.prose :where(figure > *):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; margin-top: 0px; }
.prose :where(figcaption):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-captions); font-size: 0.875em; line-height: 1.42857; margin-top: 0.857143em; }
.prose :where(code):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-code); font-size: 0.875em; font-weight: 600; }
.prose :where(code):not(:where([class~="not-prose"] *))::before { content: "`"; }
.prose :where(code):not(:where([class~="not-prose"] *))::after { content: "`"; }
.prose :where(a code):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(h1 code):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(h2 code):not(:where([class~="not-prose"] *)) { color: inherit; font-size: 0.875em; }
.prose :where(h3 code):not(:where([class~="not-prose"] *)) { color: inherit; font-size: 0.9em; }
.prose :where(h4 code):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(blockquote code):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(thead th code):not(:where([class~="not-prose"] *)) { color: inherit; }
.prose :where(pre):not(:where([class~="not-prose"] *)) { background-color: transparent; border-radius: 0.375rem; color: currentcolor; font-size: 0.875em; font-weight: 400; line-height: 1.71429; margin: 0px; overflow-x: auto; padding: 0px; }
.prose :where(pre code):not(:where([class~="not-prose"] *)) { background-color: transparent; border-radius: 0px; border-width: 0px; color: inherit; font-family: inherit; font-size: inherit; font-weight: inherit; line-height: inherit; padding: 0px; }
.prose :where(pre code):not(:where([class~="not-prose"] *))::before { content: none; }
.prose :where(pre code):not(:where([class~="not-prose"] *))::after { content: none; }
.prose :where(table):not(:where([class~="not-prose"] *)) { font-size: 0.875em; line-height: 1.71429; margin-bottom: 2em; margin-top: 2em; table-layout: auto; width: 100%; }
[dir="ltr"] .prose :where(table):not(:where([class~="not-prose"] *)) { text-align: left; }
[dir="rtl"] .prose :where(table):not(:where([class~="not-prose"] *)) { text-align: right; }
.prose :where(thead):not(:where([class~="not-prose"] *)) { border-bottom-color: var(--tw-prose-th-borders); border-bottom-width: 1px; }
.prose :where(thead th):not(:where([class~="not-prose"] *)) { color: var(--tw-prose-headings); font-weight: 600; padding-bottom: 0.571429em; padding-left: 0.571429em; padding-right: 0.571429em; vertical-align: bottom; }
.prose :where(tbody tr):not(:where([class~="not-prose"] *)) { border-bottom-color: var(--tw-prose-td-borders); border-bottom-width: 1px; }
.prose :where(tbody tr:last-child):not(:where([class~="not-prose"] *)) { border-bottom-width: 0px; }
.prose :where(tbody td):not(:where([class~="not-prose"] *)) { vertical-align: baseline; }
.prose :where(tfoot):not(:where([class~="not-prose"] *)) { border-top-color: var(--tw-prose-th-borders); border-top-width: 1px; }
.prose :where(tfoot td):not(:where([class~="not-prose"] *)) { vertical-align: top; }
.prose { --tw-prose-body: var(--text-primary); --tw-prose-headings: var(--text-primary); --tw-prose-lead: var(--text-primary); --tw-prose-links: var(--text-primary); --tw-prose-bold: var(--text-primary); --tw-prose-counters: var(--text-primary); --tw-prose-bullets: var(--text-primary); --tw-prose-hr: var(--border-xheavy); --tw-prose-quotes: var(--text-primary); --tw-prose-quote-borders: #e5e7eb; --tw-prose-captions: var(--text-secondary); --tw-prose-code: var(--text-primary); --tw-prose-pre-code: #e5e7eb; --tw-prose-pre-bg: #1f2937; --tw-prose-th-borders: #d1d5db; --tw-prose-td-borders: #e5e7eb; --tw-prose-invert-body: var(--text-primary); --tw-prose-invert-headings: var(--text-primary); --tw-prose-invert-lead: var(--text-primary); --tw-prose-invert-links: var(--text-primary); --tw-prose-invert-bold: var(--text-primary); --tw-prose-invert-counters: var(--text-primary); --tw-prose-invert-bullets: var(--text-primary); --tw-prose-invert-hr: var(--border-xheavy); --tw-prose-invert-quotes: var(--text-primary); --tw-prose-invert-quote-borders: #374151; --tw-prose-invert-captions: var(--text-secondary); --tw-prose-invert-code: var(--text-primary); --tw-prose-invert-pre-code: #d1d5db; --tw-prose-invert-pre-bg: rgba(0,0,0,.5); --tw-prose-invert-th-borders: #4b5563; --tw-prose-invert-td-borders: #374151; font-size: 1rem; line-height: 1.75; }
.prose :where(p):not(:where([class~="not-prose"] *)) { margin-bottom: 1.25em; margin-top: 1.25em; }
.prose :where(video):not(:where([class~="not-prose"] *)) { margin-bottom: 2em; margin-top: 2em; }
.prose :where(figure):not(:where([class~="not-prose"] *)) { margin-bottom: 2em; margin-top: 2em; }
.prose :where(li):not(:where([class~="not-prose"] *)) { margin-bottom: 0.5em; margin-top: 0.5em; }
[dir="ltr"] .prose :where(ol > li):not(:where([class~="not-prose"] *)) { padding-left: 0.375em; }
[dir="rtl"] .prose :where(ol > li):not(:where([class~="not-prose"] *)) { padding-right: 0.375em; }
[dir="ltr"] .prose :where(ul > li):not(:where([class~="not-prose"] *)) { padding-left: 0.375em; }
[dir="rtl"] .prose :where(ul > li):not(:where([class~="not-prose"] *)) { padding-right: 0.375em; }
.prose :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.75em; margin-top: 0.75em; }
.prose :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.25em; }
.prose :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.25em; }
.prose :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.25em; }
.prose :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.25em; }
.prose :where(ul ul, ul ol, ol ul, ol ol):not(:where([class~="not-prose"] *)) { margin-bottom: 0.75em; margin-top: 0.75em; }
.prose :where(hr + *):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose :where(h2 + *):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose :where(h3 + *):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose :where(h4 + *):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
[dir="ltr"] .prose :where(thead th:first-child):not(:where([class~="not-prose"] *)) { padding-left: 0px; }
[dir="rtl"] .prose :where(thead th:first-child):not(:where([class~="not-prose"] *)) { padding-right: 0px; }
[dir="ltr"] .prose :where(thead th:last-child):not(:where([class~="not-prose"] *)) { padding-right: 0px; }
[dir="rtl"] .prose :where(thead th:last-child):not(:where([class~="not-prose"] *)) { padding-left: 0px; }
.prose :where(tbody td, tfoot td):not(:where([class~="not-prose"] *)) { padding: 0.571429em; }
[dir="ltr"] .prose :where(tbody td:first-child, tfoot td:first-child):not(:where([class~="not-prose"] *)) { padding-left: 0px; }
[dir="rtl"] .prose :where(tbody td:first-child, tfoot td:first-child):not(:where([class~="not-prose"] *)) { padding-right: 0px; }
[dir="ltr"] .prose :where(tbody td:last-child, tfoot td:last-child):not(:where([class~="not-prose"] *)) { padding-right: 0px; }
[dir="rtl"] .prose :where(tbody td:last-child, tfoot td:last-child):not(:where([class~="not-prose"] *)) { padding-left: 0px; }
.prose :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.prose-sm :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.571429em; margin-top: 0.571429em; }
.prose-sm :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.14286em; }
.prose-sm :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.14286em; }
.prose-sm :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.14286em; }
.prose-sm :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.14286em; }
.prose-sm :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose-sm :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.prose-base :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.75em; margin-top: 0.75em; }
.prose-base :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.25em; }
.prose-base :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.25em; }
.prose-base :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.25em; }
.prose-base :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.25em; }
.prose-base :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose-base :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.prose-lg :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.888889em; margin-top: 0.888889em; }
.prose-lg :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.33333em; }
.prose-lg :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.33333em; }
.prose-lg :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.33333em; }
.prose-lg :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.33333em; }
.prose-lg :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose-lg :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.prose-xl :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.8em; margin-top: 0.8em; }
.prose-xl :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.2em; }
.prose-xl :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.2em; }
.prose-xl :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.2em; }
.prose-xl :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.2em; }
.prose-xl :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose-xl :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.prose-2xl :where(.prose > ul > li p):not(:where([class~="not-prose"] *)) { margin-bottom: 0.833333em; margin-top: 0.833333em; }
.prose-2xl :where(.prose > ul > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.33333em; }
.prose-2xl :where(.prose > ul > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.33333em; }
.prose-2xl :where(.prose > ol > li > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 1.33333em; }
.prose-2xl :where(.prose > ol > li > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 1.33333em; }
.prose-2xl :where(.prose > :first-child):not(:where([class~="not-prose"] *)) { margin-top: 0px; }
.prose-2xl :where(.prose > :last-child):not(:where([class~="not-prose"] *)) { margin-bottom: 0px; }
.form-input, .form-multiselect, .form-select, .form-textarea { --tw-shadow: 0 0 transparent; appearance: none; background-color: rgb(255, 255, 255); border-color: rgb(155, 155, 155); border-radius: 0px; border-width: 1px; font-size: 1rem; line-height: 1.5rem; padding: 0.5rem 0.75rem; }
.form-input:focus, .form-multiselect:focus, .form-select:focus, .form-textarea:focus { --tw-ring-offset-width: 0px; --tw-ring-offset-color: #fff; --tw-ring-color: #2563eb; --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(1px + var(--tw-ring-offset-width)) var(--tw-ring-color); border-color: rgb(37, 99, 235); box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow); outline: transparent solid 2px; outline-offset: 2px; }
[dir="ltr"] .form-input:focus, [dir="ltr"] .form-multiselect:focus, [dir="ltr"] .form-select:focus, [dir="ltr"] .form-textarea:focus { --tw-ring-inset: var(--tw-empty,/*!*/ /*!*/); }
[dir="rtl"] .form-input:focus, [dir="rtl"] .form-multiselect:focus, [dir="rtl"] .form-select:focus, [dir="rtl"] .form-textarea:focus { --tw-ring-inset: var(--tw-empty, ); }
.form-input::placeholder, .form-textarea::placeholder { color: rgb(155, 155, 155); opacity: 1; }
.form-input::-webkit-datetime-edit-fields-wrapper { padding: 0px; }
.form-input::-webkit-date-and-time-value { min-height: 1.5em; }
.form-input::-webkit-datetime-edit, .form-input::-webkit-datetime-edit-day-field, .form-input::-webkit-datetime-edit-hour-field, .form-input::-webkit-datetime-edit-meridiem-field, .form-input::-webkit-datetime-edit-millisecond-field, .form-input::-webkit-datetime-edit-minute-field, .form-input::-webkit-datetime-edit-month-field, .form-input::-webkit-datetime-edit-second-field, .form-input::-webkit-datetime-edit-year-field { padding-bottom: 0px; padding-top: 0px; }
.btn { align-items: center; border-color: transparent; border-radius: 9999px; border-width: 1px; display: inline-flex; flex-shrink: 0; font-size: 0.875rem; font-weight: 500; justify-content: center; line-height: 1.25rem; min-height: 38px; padding: 0.5rem 0.875rem; pointer-events: auto; }
.btn.focus-visible, .btn:focus { outline: transparent solid 2px; outline-offset: 2px; }
.btn:focus-visible { outline: transparent solid 2px; outline-offset: 2px; }
.btn:disabled { cursor: not-allowed; opacity: 0.5; }
.btn:active { opacity: 0.8; }
.btn-green { --tw-bg-opacity: 1; --tw-text-opacity: 1; background-color: rgba(16,163,127,var(--tw-bg-opacity)); color: rgba(255,255,255,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-green:hover { --tw-bg-opacity: 1; background-color: rgba(26,127,100,var(--tw-bg-opacity)); }
}
.btn-green.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(25,195,125,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-green:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(25,195,125,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-blue { --tw-bg-opacity: 1; --tw-text-opacity: 1; background-color: rgba(0,102,222,var(--tw-bg-opacity)); color: rgba(255,255,255,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-blue:hover { --tw-bg-opacity: 1; background-color: rgba(29,78,216,var(--tw-bg-opacity)); }
}
.btn-blue.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(29,78,216,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-blue:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(29,78,216,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-primary { --tw-bg-opacity: 1; --tw-text-opacity: 1; background-color: rgba(13,13,13,var(--tw-bg-opacity)); color: rgba(255,255,255,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-primary:hover { --tw-bg-opacity: 1; background-color: rgba(33,33,33,var(--tw-bg-opacity)); }
}
.btn-primary.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(155,155,155,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-primary:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(155,155,155,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.dark .btn-primary { --tw-bg-opacity: 1; --tw-text-opacity: 1; background-color: rgba(249,249,249,var(--tw-bg-opacity)); color: rgba(13,13,13,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-primary:hover:is(.dark *) { --tw-bg-opacity: 1; background-color: rgba(236,236,236,var(--tw-bg-opacity)); }
}
.btn-danger { --tw-bg-opacity: 1; --tw-text-opacity: 1; background-color: rgba(239,68,68,var(--tw-bg-opacity)); color: rgba(255,255,255,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-danger:hover { --tw-bg-opacity: 1; background-color: rgba(185,28,28,var(--tw-bg-opacity)); }
}
.btn-danger.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(248,113,113,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-danger:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(248,113,113,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
@media (hover: hover) and (pointer: fine) {
.btn-danger:disabled:hover { --tw-bg-opacity: 1; background-color: rgba(185,28,28,var(--tw-bg-opacity)); }
}
.btn-danger-outline { --tw-border-opacity: 1; --tw-text-opacity: 1; background-color: var(--main-surface-primary); border-color: rgba(220,38,38,var(--tw-border-opacity)); border-width: 1px; color: rgba(220,38,38,var(--tw-text-opacity)); }
@media (hover: hover) and (pointer: fine) {
.btn-danger-outline:hover { background-color: var(--main-surface-secondary); }
}
.btn-danger-outline.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(220,38,38,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-danger-outline:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(220,38,38,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-secondary { background-color: var(--main-surface-primary); border-color: var(--border-medium); border-width: 1px; color: var(--text-primary); font-size: 0.875rem; line-height: 1.25rem; }
@media (hover: hover) and (pointer: fine) {
.btn-secondary:hover { background-color: var(--main-surface-secondary); }
}
.btn-secondary.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(103,103,103,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
.btn-secondary:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-opacity: 1; --tw-ring-color: rgba(103,103,103,var(--tw-ring-opacity)); --tw-ring-offset-width: 2px; box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); }
@media (hover: hover) and (pointer: fine) {
.btn-ghost:hover { background-color: rgba(0, 0, 0, 0.05); }
}
.btn-ghost.focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-color: rgba(0,0,0,.05); box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); outline: transparent solid 2px; outline-offset: 2px; }
.btn-ghost:focus-visible { --tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color); --tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(2px + var(--tw-ring-offset-width)) var(--tw-ring-color); --tw-ring-color: rgba(0,0,0,.05); box-shadow: var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow,0 0 transparent); outline: transparent solid 2px; outline-offset: 2px; }
@media (hover: hover) and (pointer: fine) {
.btn-ghost:hover:is(.dark *) { background-color: rgba(255, 255, 255, 0.1); }
}
.btn-small { min-height: 30px; padding: 0.25rem 0.75rem; }
.btn-giant, .btn-large { min-height: 46px; }
.btn-large { padding: 0.75rem 1rem; }
.btn-giant { font-size: 1rem; font-weight: 600; line-height: 1.5rem; padding: 0.625rem 1.5rem; }
.divide-token-border-light > :not([hidden]) ~ :not([hidden]) { border-color: rgba(0, 0, 0, 0.1); }
.border-token-border-heavy { border-color: rgba(0, 0, 0, 0.2); }
.border-token-border-light { border-color: rgba(0, 0, 0, 0.1); }
.border-token-border-medium { border-color: rgba(0, 0, 0, 0.15); }
.border-token-border-xheavy { border-color: rgba(0, 0, 0, 0.25); }
.border-token-main-surface-primary { }
.border-token-main-surface-secondary { }
.border-token-main-surface-tertiary { }
.border-token-surface-error\/15 { border-color: rgba(249, 58, 55, 0.15); }
.border-token-text-primary { }
.border-token-text-secondary { border-color: rgb(125, 125, 125); }
.border-token-text-tertiary { }
.border-y-token-border-medium { border-bottom-color: rgba(0, 0, 0, 0.15); border-top-color: rgba(0, 0, 0, 0.15); }
[dir="ltr"] .border-l-token-sidebar-surface-secondary { }
[dir="rtl"] .border-l-token-sidebar-surface-secondary { }
.\!bg-token-main-surface-primary { }
.\!bg-token-text-primary { }
.bg-token-border-light { background-color: rgba(0, 0, 0, 0.1); }
.bg-token-border-medium { background-color: rgba(0, 0, 0, 0.15); }
.bg-token-main-surface-primary { }
.bg-token-main-surface-secondary { }
.bg-token-main-surface-tertiary { }
.bg-token-sidebar-surface-primary { }
.bg-token-sidebar-surface-secondary { }
.bg-token-sidebar-surface-tertiary { }
.bg-token-surface-error { background-color: rgba(249,58,55,var(--tw-bg-opacity)); }
.bg-token-text-primary { }
.bg-token-text-quaternary { }
.bg-token-text-secondary { background-color: rgb(125, 125, 125); }
.bg-token-text-tertiary { }
.fill-token-main-surface-primary { }
.stroke-token-main-surface-tertiary { }
.\!text-token-main-surface-primary { }
.\!text-token-text-primary { }
.text-token-link { color: rgb(41, 100, 170); }
.text-token-main-surface-primary { }
.text-token-main-surface-tertiary { }
.text-token-text-error { color: rgb(249, 58, 55); }
.text-token-text-primary { }
.text-token-text-quaternary { }
.text-token-text-secondary { color: rgb(125, 125, 125); }
.text-token-text-tertiary { }
.decoration-token-link { text-decoration-color: rgb(41, 100, 170); }
.decoration-token-text-primary { }
body, html { background-color: var(--main-surface-primary); }
#__next, #root, body, html { height: 100%; }
.markdown { max-width: none; }
.markdown h1 { font-weight: 600; }
.markdown h1:first-child { margin-top: 0px; }
.markdown h2 { font-weight: 600; margin-bottom: 1rem; margin-top: 2rem; }
.markdown h2:first-child { margin-top: 0px; }
.markdown h3 { font-weight: 600; margin-bottom: 0.5rem; margin-top: 1rem; }
.markdown h3:first-child { margin-top: 0px; }
.markdown h4 { font-weight: 600; margin-bottom: 0.5rem; margin-top: 1rem; }
.markdown h4:first-child { margin-top: 0px; }
.markdown h5 { font-weight: 600; }
.markdown h5:first-child { margin-top: 0px; }
.markdown blockquote { --tw-border-opacity: 1; border-color: rgba(155,155,155,var(--tw-border-opacity)); line-height: 1.5rem; margin: 0px; padding-bottom: 0.5rem; padding-top: 0.5rem; }
[dir="ltr"] .markdown blockquote { border-left-width: 2px; padding-left: 1rem; }
[dir="rtl"] .markdown blockquote { border-right-width: 2px; padding-right: 1rem; }
.markdown blockquote > p { margin: 0px; }
.markdown blockquote > p::after, .markdown blockquote > p::before { display: none; }
.markdown table { --tw-border-spacing-x: 0px; --tw-border-spacing-y: 0px; border-collapse: separate; border-spacing: var(--tw-border-spacing-x) var(--tw-border-spacing-y); margin-bottom: 0.25rem; margin-top: 0.25rem; width: 100%; }
.markdown p { margin-bottom: 0.5rem; }
.markdown p + :where(ol, ul) { margin-top: 0px; }
.markdown :where(ol, ul) > li > :last-child { margin-bottom: 0px; }