抄録
We address the problem of studying the number of excitatory stimuli
producing a spike for a Stein-type stochastic model which includes a multiplicative
state-dependent effect. Some results on the probability distribution of the number M
of excitatory stimuli triggering a spike are obtained. We also evaluate the distribution
of M conditional on the firing time, and disclose some properties of its mode. Finally,
some results on the probability generating function of the conditional distribution are
given.