Calculation of the Threshold Surface for Nerve Equations

DOI10.1137/0150083zbMath0743.35036OpenAlexW2026102289MaRDI QIDQ3970578

Victor H. Moll, Steven Rosencrans

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1137/0150083

zbMATH Keywords

Hodgkin-Huxley modelFitzhugh-Nagumo equationthreshold surfacecritical multiplierMcKean's equationnervous impulse in a squidstandard discretization

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Accuracy improvement of a multistep splitting method for nonlinear viscous wave equations ⋮ Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping ⋮ Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations ⋮ Unified compact ADI methods for solving nonlinear viscous and nonviscous wave equations ⋮ Strength-duration relationship in an excitable medium ⋮ Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations ⋮ A new fourth‐order numerical algorithm for a class of three‐dimensional nonlinear evolution equations ⋮ Initiation of propagation in a one-dimensional excitable medium ⋮ Polygonal approximation to the flow on the critical surface for the bistable equation ⋮ Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

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