Biological Cybernetics

, Volume 35, Issue 1, pp 1–9 | Cite as

The Ornstein-Uhlenbeck process as a model for neuronal activity

I. Mean and variance of the firing time
  • Luigi M. Ricciardi
  • Laura Sacerdote


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.


Density Function Probability Density Numerical Computation Diffusion Process Probability Density Function 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Luigi M. Ricciardi
    • 1
  • Laura Sacerdote
    • 1
  1. 1.Istituto di Scienze dell'InformazioneUniversità di SalernoSalernoItaly

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