Electrically active cells and singular perturbation theory

DOI10.1007/BF03024034zbMath0705.92005MaRDI QIDQ918460

Jane Cronin

Publication date: 1990

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

Hodgkin-Huxley model of the squid axonmodel of the cardiac Purkinje fibermodels of electrically active cells

Mathematics Subject Classification ID

Neural biology (92C20) Physiology (general) (92C30) Singular perturbations of ordinary differential equations (34D15)

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Cites Work

• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Mathematical model of aneurysm of the circle of Willis. II: A qualitative analysis of the equation of Austin
• Periodic solutions of nerve impulse equations
• Perturbations of discontinuous solutions of non-linear systems of differential equations
• Perturbation analysis of an approximation to the Hodgkin-Huxley theory
• Mathematical Aspects of Hodgkin-Huxley Neural Theory
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