Neutrally stable traveling wave solutions of nerve conduction equations

DOI10.1007/BF00277150zbMath0316.92002WikidataQ113909018 ScholiaQ113909018MaRDI QIDQ1221708

John Rinzel

Publication date: 1975

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear higher-order PDEs (35G20) Linear higher-order PDEs (35G05) General biology and biomathematics (92B05)

Related Items (10)

Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis ⋮ Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation ⋮ Electrophysiology ⋮ Exact solutions for logistic reaction-diffusion equations in biology ⋮ Neutrally stable traveling wave solutions of nerve conduction equations ⋮ The leading edge approximation to the nerve axon problem ⋮ Nonlinear reaction-diffusion models for interacting populations ⋮ The multistep finite difference fractional steps method for a class of viscous wave equations ⋮ Asymptotic states for equations of reaction and diffusion ⋮ Nonclassical symmetry solutions for non-autonomous reaction-diffusion equations

Cites Work

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• On FitzHugh's nerve axon equations
• Neutrally stable traveling wave solutions of nerve conduction equations
• On the stability of waves of nonlinear parabolic systems
• Nagumo's equation
• THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
• Perturbation analysis of an approximation to the Hodgkin-Huxley theory
• A NOTE ON THE NAGUMO EQUATION

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