The interspike interval of a cable model neuron with white noise input
type: Item
instance of: scholarly article
title: The interspike interval of a cable model neuron with white noise input
zbMATH Open document ID: 0553.92010
DOI: 10.1007/BF00334461
author: Henry C. Tuckwell
author: F. Y. M. Wan
author: Yau shu Wong
published in: Biological Cybernetics
publication date: 1984-01-01T00:00:00Z
review text: The first exit time problem for the linear cable equation with white noise current input at a fixed point is studied. A system of partial differential equations for the moments of the first exit time is derived using Fourier decomposition. For the solution of these equations the approximation by the first two components is devised. The results obtained by perturbation and numerical methods are compared with those obtained by Monte Carlo simulation. An extensive numerical analysis on physiologically interpretable parameters illustrates the discussed methods.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 3882249
zbMATH Keywords: interspike interval
zbMATH Keywords: first exit time problem
zbMATH Keywords: linear cable equation
zbMATH Keywords: white noise current input
zbMATH Keywords: moments
zbMATH Keywords: Fourier decomposition
zbMATH Keywords: approximation
zbMATH Keywords: perturbation
zbMATH Keywords: numerical methods
zbMATH Keywords: Monte Carlo simulation
Wikidata QID: Q52432685
reviewed by: Petr Lansky
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00334461
OpenAlex ID: W2147384960
description: scientific article; zbMATH DE number 3882249