On the moments of firing numbers in diffusion neuronal models with refractoriness

Abstract

For diffusion neuronal models, the statistical features of the random variable modeling the number of neuronal firings are analyzed by including the additional assumption of the existence of random refractoriness. For long times, the asymptotic behaviors of the mean and variance of the number of firings released by the neuron are determined. Finally, simple asymptotic expressions are obtained under the assumption of exponentially distributed firing times. © Springer-Verlag Berlin Heidelberg 2005.