The Ornstein-Uhlenbeck process as a model for neuronal activity
- 1 March 1979
- journal article
- research article
- Published by Springer Nature in Biological Cybernetics
- Vol. 35 (1) , 1-9
- https://doi.org/10.1007/bf01845839
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.Keywords
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