Mean and variance of the first passage time through a constant boundary for the Ornstein Uhlenbeck process are determined by a straighforward 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 the Ornstein-Uhlenbeck type.
The Ornstein-Uhlenbeck process as a model for neuronal activity
SACERDOTE, Laura Lea
1979-01-01
Abstract
Mean and variance of the first passage time through a constant boundary for the Ornstein Uhlenbeck process are determined by a straighforward 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 the Ornstein-Uhlenbeck type.
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