We consider a stochastic neuronal model in which the time evolution of the membrane potential is described by a Wiener process perturbed by random jumps driven by a counting process. We consider the first-crossing-time problem through a constant boundary for such a process, in order to describe the firing activity of the model neuron. We build up a new simulation procedure for the construction of firing densities estimates.

Evaluation of Neuronal Firing Densities via Simulation of a Jump-Diffusion Process

DI NARDO, Elvira;
2005-01-01

Abstract

We consider a stochastic neuronal model in which the time evolution of the membrane potential is described by a Wiener process perturbed by random jumps driven by a counting process. We consider the first-crossing-time problem through a constant boundary for such a process, in order to describe the firing activity of the model neuron. We build up a new simulation procedure for the construction of firing densities estimates.
2005
Computer Aided Systems Theory - EUROCAST 2005 - Revised Selected Papers
Springer Verlag
3561
166
175
9783540262985
http://www.springerlink.com/content/nq5xpgejefwcx7fu/
Neuronal firing; first passage time; jump-diffusion process
A. DI CRESCENZO; E. DI NARDO; L.M. RICCIARDI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1561374
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