Threshold Conditions for Two Diffusion Models Suggested By Nerve Impulse Conduction

DOI10.1137/0146051zbMath0609.92014OpenAlexW2067782177MaRDI QIDQ3751419

Jonathan Bell, Chris Cosner

Publication date: 1986

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0146051

zbMATH Keywords

boundary conditionscomparison principleslarge time behavior of solutionsreaction- diffusion equationsmodels of myelinated and unmyelinated axonnerve impulse conductionsub-threshold responsesupra-threshold response

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Physiological, cellular and medical topics (92Cxx)

Related Items (3)

Propagation of excited state and its failure in a simple model of myelinated nerve axons ⋮ A mathematical study of effects of narrow gap width in myelinated nerve axons ⋮ Some aspects of the Morris-Lecar model and the myelinated axon models with Morris-Lecar dynamics

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