[Effect on nonlinear summation of postsynaptic potentials on the average potential and distribution of interspike intervals of a neuron]

Abstract

A probability model of the neuron is considered which uses a simple equivalent electric scheme of the synapse suggesting that characteristic time of conductivity change is much less than the time constant of the membrane tau. The model is characterized by the fact that the distribution of potential jumps depends on the accumulated potential u(t). Formula are obtained for the average value and dispersion of the membrane potential. They coincide with the known formula (1) deduced for the contrary case of slow conductivity changes at tau lambda greater than 1 (lambda - frequency of elementary jumps of conductivity). For tau lambda greater than 1 distribution of probability of interimpulse intervals at arbitrary form of distribution function of jumps F (delta u, u) is described.