The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time.
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.
D003712:Dendrites / Q000502:physiology; D006801:Humans; D008564:Membrane Potentials; D008959:Models, Neurological; D009431:Neural Conduction; D009433:Neural Inhibition; D009474:Neurons / Q000502:physiology*; D011336:Probability; D013269:Stochastic Processes; D013569:Synapses / Q000502:physiology; D013997:Time Factors