Stochastic particle formulation of the vesicle hypothesis. Relevance to short-term phenomena

Based on the vesicle hypothesis, the modes of elementary quantum-vesicle interactions have been formulated in terms of probabilities of induced and spontaneous interstate quanta transitions and generalized within the framework of the previously developed theory of the double barrier synapse. Among the three allowed states for a quantum, the transition state is a novel formulation for the fraction of immediately available quanta governed by both vesicle and presynaptic membranes. The parameters of the model were determined by fitting solutions to the experimental curves representing effects of single pulse and short train activation on transmitter release at the frog neuromuscular junction. Qualitative differences in particle physics of transmitter release found under low quantal outputs on one hand and normal transmission on the other allowed the formulation of the uncertainty hypothesis and the quantum condition of synaptic homeostasis.