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Biol Cybern. 1979 Nov;35(1):1-9.

The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time.

Abstract

Mean and variance of the first passage time through a constant boundary for the Ornstein-Uhlenbeck process are determined by a straight-forward differentiation of the Laplace transform of the first passage time probability density function. The results of some numerical computations are discussed to shed some light on the input-output behavior of a formal neuron whose dynamics is modeled by a diffusion process of Ornstein-Uhlenbeck type.

PMID:
508846
[Indexed for MEDLINE]

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