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.
The Ornstein-Uhlenbeck process as a model for neuronal activity / Ricciardi, LUIGI MARIA; L., Sacerdote. - In: BIOLOGICAL CYBERNETICS. - ISSN 0340-1200. - STAMPA. - 35:1(1979), pp. 1-9. [10.1007/BF01845839]
The Ornstein-Uhlenbeck process as a model for neuronal activity
RICCIARDI, LUIGI MARIA;
1979
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
