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

Modeling Neuronal Firing in the Presence of Refractoriness

RICCIARDI, LUIGI MARIA;
2003

Abstract

A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is investigated for diffusion models of single neuron’s activity. The statistical features of the random variable modeling the number of neuronal firings is analyzed by including the additional assumption of the existence of neuronal refractoriness. Asymptotic exact formulas for the multiple firing probabilities and for the expected number of produced firings are finally given.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/4450
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