A Diffusion Neuronal Model and its Parameters

P. Lánský, V. Giorno, A. G. Nobile and L. M. Ricciardi
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P. Lánský: Czech. Acad. Sciences, Institute of Physiology
V. Giorno: University of Salerno, Dip. di Informatica e Applicazioni
A. G. Nobile: University of Salerno, Dip. di Informatica e Applicazioni
L. M. Ricciardi: University of Naples, Dip. di Matematica e Applicazioni

A chapter in Biomathematics and Related Computational Problems, 1988, pp 55-63 from Springer

Abstract: Abstract Stochastic diffusion models of neuronal membrane potential are considered as a proper description of neuronal activity. The theoretical studies on the models are focused mainly on the first passage time problem which is the theoretical equivalent of interspike distribution analysis. At the same time a statistical comparison of the models with experimental data is still an open question. Recently introduced diffusion model with restricted state space is studied here. The methods for its parameters identification are proposed. The model is simulated on the computer and the methods are checked on this simulation.

Keywords: Diffusion Approximation; Interspike Interval; Drift Parameter; Neuronal Membrane Potential; Passage Time Problem (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-2975-3_6

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