| Contents |
| 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 . We investigate the first passage time densities through specified firing thresholds for the involved time non-homogeneous Gauss-Markov processes. For different values of amplitude, frequency and phase, simulation results and numerical approximations of the firing densities, that we are able to provide, are compared and discussed.
Asymptotic behaviors of the firing densities are also given and validated for suitable ranges of parameters values |
|