(My thesis was on auditory cognition and I haven't touched ion channel biophysics in that long. I have a long-ago memory that adenosine (now corrected) operated as a retrograde transmitter, though since I'm probably not going to spend my afternoon looking for the citations, I'll delete as well for now. Not because I believe it's wrong, just that I can't immediately back it up.)
Are you still doing research yourself or have you left for startup land like most of HN?
since bioscience isn't on my radar i'm not sure if you'd find anything useful there, however, it feels like a more concentrated version of HN which specializes in some of the other stuff that interests you (e.g. learning algos, data analysis, etc.).
"Caffeine competitively inhibits phosphodiesterase, the enzyme that degrades cyclic AMP...By blocking the degradation process of cyclic AMP, caffeine indirectly affects regulation of cAMP-dependent protein kinases". TIL.
Caffeine is more like an adenine analog, not a cAMP (3'-5' cyclic adenosine monophosphate) analog. It binds adenosine receptors, not primarily cAMP receptors. It has indirect effects on cAMP, but I am not aware of direct ones. Also, your description of cAMP signaling sounds confused, since cAMP is an intracellular second messenger. I am not aware of an extracellular retrograde signaling process for this molecule.
Sorry, and your implication that cAMP is a byproduct of ATP consumption is totally wrong. cAMP is synthesized directly from ATP, a reaction catalyzed by the regulated enzyme adenylate cyclase.