Accuracy of neuronal interspike times calculated from a diffusion approximation

The theory of neuronal firing in Stein's model is outlined as well as the corresponding theory for a diffusion approximation which has the same first two infinitesimal moments. The diffusion approximation is derived from the discontinuous model in the limit of large input frequencies and small...

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Bibliographic Details
Published inJournal of theoretical biology Vol. 83; no. 3; pp. 377 - 387
Main Authors Tuckwell, Henry C., Cope, Davis K.
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 07.04.1980
Subjects
Action Potentials
Models, Neurological
Neurons - physiology
Time Factors
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Summary:The theory of neuronal firing in Stein's model is outlined as well as the corresponding theory for a diffusion approximation which has the same first two infinitesimal moments. The diffusion approximation is derived from the discontinuous model in the limit of large input frequencies and small postsynaptic potential amplitudes. A comparison of the calculated mean interspike intervals is made for various values of the threshold for firing and various input frequencies. The diffusion approximation can underestimate the interspike interval by up to 100% or severely overestimate it, depending on the input frequencies and the threshold. A general relation between the predictions of the two models is deduced.
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ISSN:0022-5193
1095-8541
DOI:10.1016/0022-5193(80)90045-4