Numerical Investigation of the Two-Dimensioaln Neural Field Equation with Delay

Abstract

Neural Field Equations (NFEs) are integrodifferential equations which describe the electric potential field and the interaction between neurons, in certain regions of the brain. They are becoming increasingly important for the interpretation of EEG, fMRi and optical imaging data. In the present article we describe a new efficient algorithm for the numerical simulation of two-dimensional neural fields with delays. The main features of this method are discussed and its performance is illustrated by some numerical examples.