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. 1966 Jan;6(1):53–69. doi: 10.1016/S0006-3495(66)86639-0

A Stochastic Model of the Repetitive Activity of Neurons

C Daniel Geisler, Jay M Goldberg
PMCID: PMC1367924  PMID: 19431343

Abstract

A recurrent model of the repetitive firing of neurons responding to stimuli of long duration is given. The model assumes a deterministic threshold potential and a membrane potential which is composed of both deterministic and random components. The model accurately reproduces interval statistics obtained from different neurons discharging repetitively over a wide range of discharge rates. It is shown that the model has three important parameters; the time course of threshold recovery following a discharge, the variance of the random component, and the level of excitatory drive. The model is extended, by the use of hyperpolarizing afterpotentials, to include negative correlation between successive interspike intervals.

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Selected References

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