Abstract
Inclusion of refractoriness in a diffusion model for single neuron activity
is the object of the present paper. An asymptotic analysis of the random process
modeling the number of firings and the distribution of interspike intervals is performed
under the approximation of exponentially distributed firings. In the cases of constant,
uniform, exponential, Erlang, truncated normal and hyperexponential durations of
refractory periods, asymptotic simple expressions are obtained and some numerical
evaluations are performed
