On theory of pulse transmission in a nerve fibre

DOI10.1098/RSPA.1981.0047zbMath0453.92008OpenAlexW1975030151MaRDI QIDQ3901354

Yu. K. Ehngel'brekht

Publication date: 1981

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1981.0047

zbMATH Keywords

catastrophe theoryray methodHodgkin-Huxley modelpulse transmissionnerve fibreequation of Lienard typeFitz Hugh-Nagumo models

Mathematics Subject Classification ID

Wave equation (35L05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Physiological, cellular and medical topics (92Cxx)

Related Items (8)

A thermodynamical viewpoint on nerve pulse dynamics ⋮ Deformation waves in thermoelastic media and the concept of internal variables ⋮ On the complexity of signal propagation in nerve fibres ⋮ Mathematics of Nerve Signals ⋮ Incorporating inductances in tissue-scale models of cardiac electrophysiology ⋮ Nerve pulse transmission: Recovery variable and rate-type effects ⋮ Robust exponential attractors for singularly perturbed Hodgkin-Huxley equations ⋮ The evolution of nonlinear waves in active media

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