To build an intuition about how genes code for an organism, one may visualize that DNA is an operating system within each cell, which can only divide, differentiate, regulate or die. Individual genes can be thought of as rules for a cellular automaton on an emergent 3D lattice.
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The automaton rule of the whole CA is your DNA (of which all cells have a copy)
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I suspect that almost all interactions are local. They are so ubiquitous that we don't think about them: "of course neighboring muscle cells will share a chemical context". Also, local interactions will look more uniform. The non local interactions are sparse, but draw attention.
End of conversation
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