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.
This work has been performed under partial support by MIUR (PRIN 2003) and by G.N.C.S. (INdAM).
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Di Crescenzo, A., Di Nardo, E., Ricciardi, L.M. (2005). Evaluation of Neuronal Firing Densities via Simulation of a Jump-Diffusion Process. In: Mira, J., Álvarez, J.R. (eds) Mechanisms, Symbols, and Models Underlying Cognition. IWINAC 2005. Lecture Notes in Computer Science, vol 3561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499220_18
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DOI: https://doi.org/10.1007/11499220_18
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