Evaluation of neuronal firing densities via simulation of a jump-diffusion process

Authors:
A. Di Crescenzo;E. Di Nardo;L. M. Ricciardi
Affiliations:
Dipartimento di Matematica e Informatica, Università di Salerno, Fisciano (SA), Italy;Dipartimento di Matematica, Università della Basilicata, Potenza, Italy;Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Napoli, Italy
Venue:
IWINAC'05 Proceedings of the First international conference on Mechanisms, Symbols, and Models Underlying Cognition: interplay between natural and artificial computation - Volume Part I
Year:
2005

Citing 2
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EUROCAST '99 Proceedings on Computer Aided Systems Theory

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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.