Initiation of propagation in a one-dimensional excitable medium

DOI10.1016/S0167-2789(96)00203-5zbMath0884.35061OpenAlexW1985113543MaRDI QIDQ678343

Wanda Krassowska, John C. Neu, R. Stephen jun. Preissig

Publication date: 16 April 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00203-5

zbMATH Keywords

pulse widthFitzHugh-Nagumo modelpair of separatrices

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Uses Software

• Mathematica

Cites Work

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• Singular perturbation theory of traveling waves in excitable media (A review)
• Threshold phenomena for a reaction-diffusion system
• Polygonal approximation to the flow on the critical surface for the bistable equation
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Nagumo's equation
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Stabilization to the standing wave in a simple caricature of the nerve equation
• Calculation of the Threshold Surface for Nerve Equations
• Perturbation analysis of an approximation to the Hodgkin-Huxley theory