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Some renewal process models for single neuron discharge

Published online by Cambridge University Press:  14 July 2016

Howard G. Hochman  and
Stephen E. Fienberg
Howard G. Hochman
Affiliation:
University of Chicago
Stephen E. Fienberg
Affiliation:
University of Chicago
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Abstract

Leslie (1969) obtained the Laplace transform for the recurrence time of clusters of Poisson processes, which can be thought of as yielding the interspike interval distribution for a neuron that receives Poisson excitatory inputs subject to decay. Here, several extensions of this model are derived, each including Poisson inhibitory inputs. Expressions for the mean and variance are derived for each model, and the results for the different models are compared.

Type
Short Communications
Information
Journal of Applied Probability , Volume 8 , Issue 4 , December 1971 , pp. 802 - 808
Copyright
Copyright © Applied Probability Trust 1971 

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