To explain it to a programmer, it's better to avoid the terminology and specifics, but focus only on functional relations - e.g. type of cell at point (x,y) is a FUNCTION of types (or something) of cells (x-1,y), (x+1, y) and maybe something else. I can't find it anywhere.
BTW, I am not a believer in cellular automation stuff a la Wolfram, just trying to frame the question in a way I could understand.
(just in case you don't want to reply here, my fake email address is in my profile)
It is a lot more like a cellular automaton than anything else. From minute gradient differences inside the fertilized egg, recursively structure spreads out in very much a cellular automata like fashion. Cells respond to the bio-mechanical stress around them and to the signals they bathe in, to decide cellular fate, and in turn release new signals..
It's a very different paradigm of computation than the one we think of. Each cell is like a docker instance, containing the full source code. Perhaps these links explain a bit:
https://www.youtube.com/watch?v=RQ6vkDr_Dec https://www.youtube.com/watch?v=3mCgHK-X6lE https://www.youtube.com/watch?v=EaZOdrU1Du0
Genes are transcribed by a polymerase, and a couple of factors determine if the polymerase can be "recruited" there. Here are a couple of those factors:
1) Is the site accessible? That part of the genome needs to be "open chromatin" for it to be transcribed. Next question of course is what makes some chromatin open some closed..
2) Histone signals: DNA spools around wheel-like things called histones. Histones get marked in a variety of ways to indicate "status" of that part of the genome. Some of them are pro-transcription.
3) Polymerase is usually recruited there by DNA-binding proteins called "transcription factors". These proteins bind to the regulatory / "promoter" region upstream of a protein-coding gene. There are over a thousand different transcription factors, each with a specific "motif" they recognize.
The global state is detected in various ways (receptors on the cellular mebrane etc.), which triggers these transcription factors, which then go bind DNA near the genes, to activate a new subroutine.
Here's a paper: http://www.pnas.org/content/107/20/9186 Title: "Comparing genomes to computer operating systems in terms of the topology and evolution of their regulatory control networks"