EPJ Web Conf.
Volume 248, 2021V International Conference “Modeling of Nonlinear Processes and Systems“ (MNPS-2020)
|Number of page(s)||12|
|Section||Mathematical Models in Natural Sciences|
|Published online||26 April 2021|
Mathematical Modeling of Working Memory in the Presence of Random Disturbance using Neural Field Equations
Centro de Matemática Computacional e Estocástica, Instituto Superior Técnico, University of Lisbon, PR-1049 001 Lisboa, Portugal
2 Centro de Matemática, Universidade do Minho, PR-4710-057, Guimarães, Portugal
Published online: 26 April 2021
In this paper, we describe a neural field model which explains how a population of cortical neurons may encode in its firing pattern simultaneously the nature and time of sequential stimulus events. Moreover, we investigate how noise-induced perturbations may affect the coding process. This is obtained by means of a two-dimensional neural field equation, where one dimension represents the nature of the event (for example, the color of a light signal) and the other represents the moment when the signal has occurred. The additive noise is represented by a Q-Wiener process. Some numerical experiments reported are carried out using a computational algorithm for two-dimensional stochastic neural field equations.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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