My understanding of Information Theory completely breaks down looking at this. It seems impossible that it works.
I have this feeling that we have not yet developed the theories that would make it possible for us to grasp how this truly works.
My understanding of Information Theory completely breaks down looking at this. It seems impossible that it works.
I have this feeling that we have not yet developed the theories that would make it possible for us to grasp how this truly works.
But it does not really explain certain phases of this process, in the beginning, where cells are dividing exponentially and suddenly a fold appears, and simultaneously many cells, many being far apart, start behaving differently from other cells just next to them.
So whatever chemistry or physics foundation helps achieve that, it has this capacity to be very selective (these cells far apart do it, but these ones next to them don't), i.e. it is not temperature, acidity/base concentration, pressure, or other basic physics, because these phenomena don't have this kind of selectivity.
> Turing correctly predicted a mechanism of morphogenesis, the diffusion of two different chemical signals, one activating and one deactivating growth, to set up patterns of development https://en.wikipedia.org/wiki/Morphogenesis
> cells move to be near other cells of similar adhesive strength in order to maximize the bonding strength between cells and produce a more thermodynamically stable structure https://en.wikipedia.org/wiki/Differential_adhesion_hypothes...
But the big picture is that each cell has a decision tree, and local signal molecule concentration is the criteria on which they decide. And later each cell has the ability to express yet another signal molecule and so on. If we were to imagine a 2d plane and you could symmetrically place a secretion center of A and B signal in a left and right region respectively, than you can have a new type of cell in the middle if it changes based on “signal A and B is on”.
I agree those can be very compact, and looks like a whole world is depicted in 4kb with music!
Demos are based on combining perfect geometrical structures in clever ways (planes, spheres, sinusoids, etc) because they all can be compactly expressed with the type of algebra/arithmetic/geometry that is exactly what our CPUs were built for.
If you watch many demos you tend to see certain symmetries, reflections, and other artifacts that make it all seem repetitive and plain (despite the number of moving objects, effects, etc.)
The process in this cell dividing feels very different to me, but it is hard to put my finger on it.
(1) In asexual reproduction, each successful offspring generates about 1 bit of useful information ("entropy")
(2) In sexual reproduction, each generation of offspring from population n can generate on the order of log(n) bits of information
Ref: Information Theory, Inference and Learning Algorithms by David J. C. MacKay