A stochastic model for describing the firing activity of a couple of interacting neurons subject to time-dependent stimuli is proposed. Two stochastic differential equations suitably coupled and including periodic terms to represent stimuli imposed to one or both neurons are considered to describe the problem. We investigate the first passage time densities through specified firing thresholds for the involved time non-homogeneous Gauss-Markov processes. We provide simulation results and numerical approximations of the firing densities. Asymptotic behaviors of the first passage times are also given.

Stochastic modeling of the firing activity of coupled neurons periodically driven / Carfora, Maria Francesca; Pirozzi, Enrica. - (2015), pp. 195-203. (Intervento presentato al convegno 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications tenutosi a Madrid (Spain) nel 7-11 Luglio 2014) [10.3934/proc.2015.0195].

Stochastic modeling of the firing activity of coupled neurons periodically driven

PIROZZI, ENRICA
2015

Abstract

A stochastic model for describing the firing activity of a couple of interacting neurons subject to time-dependent stimuli is proposed. Two stochastic differential equations suitably coupled and including periodic terms to represent stimuli imposed to one or both neurons are considered to describe the problem. We investigate the first passage time densities through specified firing thresholds for the involved time non-homogeneous Gauss-Markov processes. We provide simulation results and numerical approximations of the firing densities. Asymptotic behaviors of the first passage times are also given.
2015
Stochastic modeling of the firing activity of coupled neurons periodically driven / Carfora, Maria Francesca; Pirozzi, Enrica. - (2015), pp. 195-203. (Intervento presentato al convegno 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications tenutosi a Madrid (Spain) nel 7-11 Luglio 2014) [10.3934/proc.2015.0195].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/622743
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