
Neural field equations were introduced in the 70 years of last century as a mathematical model for describing neural activity and studying certain processes that occur in the cerebral cortex. One of these processes is working memory, usually defined as the capacity of neurons to transiently hold sensory information to guide forthcoming action. In this talk, 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. From a mathematical point of view, 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. Some numerical experiments are carried out using a computational algorithm for two-dimensional stochastic neural field equations. The numerical results are discussed and their physical interpretation is explained.
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