Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON THE FIRING ACTIVITY OF A STATE-DEPENDENT STOCHASTIC NEURONAL MODEL
Barbara Martinucci
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2008 年 67 巻 2 号 p. 219-228

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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.
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© 2008 International Society for Mathematical Sciences
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