Ecuaciones no locales para la actividad neuronal y su simulación en diferencias finitas

Abstract

Our objective in this work is to make an introduction to the modeling of neuronal activity, focusing on the case of integration and fire models. We will develop and discuss a series of basic results for models of the previous type and proceed to validate them numerically. The latter was initially intended to be carried out through the application of Monte Carlo methods (these being simple stochastic simulations), but finally we have opted for the application of finite difference methods.