A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is investigated for diffusion models of single neuron's activity, assuming that the firing threshold acts as an elastic barrier. Steady-state probability densities and asymptotic moments of the neuronal membrane potential are explicitly obtained in a form that is suitable for quantitative evaluations. For the Ornstein–Uhlenbeck (OU) and Feller neuronal models, closed form expression are obtained for asymptotic mean and variance of the neuronal membrane potential and an analysis of the different features exhibited by the above mentioned models is performed.
A neuronal modeling paradigm in the presence of refractoriness / Buonocore, Aniello; V., Giorno; A. G., Nobile; Ricciardi, LUIGI MARIA. - In: BIOSYSTEMS. - ISSN 0303-2647. - STAMPA. - 67:1-3(2002), pp. 35-43. [10.1016/S0303-2647(02)00061-8]
A neuronal modeling paradigm in the presence of refractoriness
BUONOCORE, ANIELLO;RICCIARDI, LUIGI MARIA
2002
Abstract
A mathematical characterization of the membrane potential as an instantaneous return process in the presence of refractoriness is investigated for diffusion models of single neuron's activity, assuming that the firing threshold acts as an elastic barrier. Steady-state probability densities and asymptotic moments of the neuronal membrane potential are explicitly obtained in a form that is suitable for quantitative evaluations. For the Ornstein–Uhlenbeck (OU) and Feller neuronal models, closed form expression are obtained for asymptotic mean and variance of the neuronal membrane potential and an analysis of the different features exhibited by the above mentioned models is performed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
