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Towards Dead Time Inclusion in Neuronal Modeling

A. Buonocore, G. Esposito, V. Giorno, C. Valerio

math.PRarXiv:math/0305106

Abstract

A mathematical description of the refractoriness period in neuronal diffusion modeling is given and its moments are explicitly obtained in a form that is suitable for quantitative evaluations. Then, for the Wiener, Ornstein-Uhlenbeck and Feller neuronal models, an analysis of the features exhibited by the mean and variance of the first passage time and of refractoriness period is performed.

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