Random currents through nerve membranes. I. Uniform Poisson or white noise current in one-dimensional cables

DOI10.1007/BF00320390zbMath0536.92019OpenAlexW1981254512WikidataQ52433819 ScholiaQ52433819MaRDI QIDQ792256

Henry C. Tuckwell, John B. Walsh

Publication date: 1983

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00320390

zbMATH Keywords

meanvariancespectral densitycovariancediffusion modelrandom currentsfirst passage time problemlinear cable equationFourier series representationGreen's function representationnerve membranesuniform Poisson or white noise inputvoltage across the membrane of a one-dimensional nerve cylinder

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Physiological, cellular and medical topics (92Cxx)

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Cites Work

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• The interspike interval of a cable model neuron with white noise input
• Ionic channel density of excitable membranes can act as a bifurcation parameter
• The response of a spatially distributed neuron to white noise current injection
• A stochastic model of neural response

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