A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is invcstigated for diffusion models of single neuron's activity. The statistical features of thc random variable modeling the number of neuronal firings is analyzed by including the additional assllmption of the existence of neuronal refractoriness. Asymptotic exact formulas for the multiple firing probabilities and for the expected nllmber of prodllced firings are finally givcn.

Modeling Neuronal Firing in the Presence of Refractoriness

GIORNO, Virginia;
2003-01-01

Abstract

A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is invcstigated for diffusion models of single neuron's activity. The statistical features of thc random variable modeling the number of neuronal firings is analyzed by including the additional assllmption of the existence of neuronal refractoriness. Asymptotic exact formulas for the multiple firing probabilities and for the expected nllmber of prodllced firings are finally givcn.
2003
3540402101
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1059988
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