In this review paper, the theory of synaptic transmission (ST) was developed
and discussed. We used the hypothesis of isomorphism between: (a) the
cooperative behavior of mediators --- acetylcholine molecules (ACh) and
cholinoreceptors in a synaptic cleft with binding into mediator-receptor (AChR)
complexes, (b) the critical phenomena in confined binary liquid mixtures. The
systems of two (or three) nonlinear differential equations were proposed to
find the change of concentrations of ACh, AChR complexes, and ferment
acetylcholinesterase. The main findings of our study: the linear size of the
activation zone was evaluated; the process of postsynaptic membrane activation
was described as a cooperative process; different approximations of ACh
synchronous release were examined; stationary states and types of singular
points were studied for the proposed models of ST; the nonlinear kinetic model
with three order parameters demonstrated a strange-attractor behavior.Comment: 12 pages, 1 figur
