The instantaneous return process is investigated for Wiener, Ornstein-Uhlenbeck and Feller neuronal models under the assumptions that after each firing the neuron's membrane potential is reset to a unique fixed value or that a preassigned uniform probability density characterizes the reset values. Steady-state probability densities and asymptotic moments are calculated and closed form expressions are obtained for asymptotic mean and variance of the neuronal membrane potential
On the instantaneous return process for neuronal diffusion models
DI CRESCENZO, Antonio;GIORNO, Virginia;NOBILE, Amelia Giuseppina
1992
Abstract
The instantaneous return process is investigated for Wiener, Ornstein-Uhlenbeck and Feller neuronal models under the assumptions that after each firing the neuron's membrane potential is reset to a unique fixed value or that a preassigned uniform probability density characterizes the reset values. Steady-state probability densities and asymptotic moments are calculated and closed form expressions are obtained for asymptotic mean and variance of the neuronal membrane potentialFile in questo prodotto:
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