Abstract
Some analytical and computational methods are outlined, that are suitable to determine the upcrossing first passage time probability density for some Gauss-Markov processes that have been used to model the time course of neuron’s membrane potential. In such a framework, the neuronal firing probability density is identified with that of the first passage time upcrossing of the considered process through a preassigned threshold function. In order to obtain reliable evaluations of these densities, ad hoc numerical and simulation algorithms are implemented.
This work has been performed within a joint cooperation agreement between Japan Science and Technology Corporation (JST) and Università di Napoli Federico II, under partial support by INdAM (GNCS). We thank CINECA for making computational resources available to us.
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Di Nardo, E., Nobile, A.G., Pirozzi, E., Ricciardi, L.M. (2003). Computational Methods for the Evaluation of Neuron’s Firing Densities. In: Moreno-Díaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST 2003. EUROCAST 2003. Lecture Notes in Computer Science, vol 2809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45210-2_36
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DOI: https://doi.org/10.1007/978-3-540-45210-2_36
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