The singularly perturbed Hodgkin-Huxley equations as a tool for the analysis of repetitive nerve activity

DOI10.1007/BF00163144zbMath0667.92005OpenAlexW2005154119WikidataQ44051115 ScholiaQ44051115MaRDI QIDQ1117855

F. Awiszus, J. Dehnhardt, T. Funke

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00163144

zbMATH Keywords

membrane potentialdegenerate systemHodgkin-Huxley modelneurophysiologysingular perturbation theoryaction potentialsnerve membranefour-dimensional systempotassium activationsodium activationsodium inactivation

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (1)

Canards existence in Fitzhugh-Nagumo and Hodgkin-Huxley neuronal models

Cites Work

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• The adaptation ability of neuronal models subject to a current step stimulus
• Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations
• Ionic channel density of excitable membranes can act as a bifurcation parameter
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Automatic Computation of Nerve Excitation
• Bursting Phenomena in Excitable Membranes
• Numerical studies of the laminar boundary layer for Mach numbers up to 15
• Mathematical Aspects of Hodgkin-Huxley Neural Theory

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