Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences

摘要

This paper extends the results of synaptically generated wave propagation through a network of connected excitatory neurons to a continuous model, defined by a Fredholm Volterra integro-differential equation (FVIDE), which includes memory effects of the past in the propagation. Stochastic approximation and numerical simulations are discussed.