A threshold for a caricature of the nerve equation

DOI10.1090/S0273-0979-1985-15367-4zbMath0586.35012OpenAlexW1965857138MaRDI QIDQ3712665

Victor H. Moll, H. P. jun. McKean

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15367-4

zbMATH Keywords

asymptotic behaviourwaveformsnerve equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Partial differential equations of mathematical physics and other areas of application (35Q99) Linear higher-order PDEs (35G05) Physiological, cellular and medical topics (92Cxx)

Related Items (2)

Strength-duration relationship in an excitable medium ⋮ Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system

Cites Work

• Unnamed Item
• Threshold phenomena for a reaction-diffusion system
• Traveling waves of infinitely many pulses in nerve equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Nagumo's equation
• A Free Boundary Problem Arising from a Bistable Reaction-Diffusion Equation
• Stabilization of solutions of a caricature of the fitzhugh-nagumo equation (2)

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