# American Institute of Mathematical Sciences

2015, 2015(special): 195-203. doi: 10.3934/proc.2015.0195

## Stochastic modeling of the firing activity of coupled neurons periodically driven

 1 Istituto per le Applicazioni del Calcolo CNR, Napoli, Italy 2 Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, Napoli

Received  September 2014 Revised  November 2014 Published  November 2015

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.
Citation: Maria Francesca Carfora, Enrica Pirozzi. Stochastic modeling of the firing activity of coupled neurons periodically driven. Conference Publications, 2015, 2015 (special) : 195-203. doi: 10.3934/proc.2015.0195
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##### References:
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