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Mathematical Aspects of Hodgkin-Huxley Neural Theory

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by Jane Cronin
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Mathematical Aspects of Hodgkin-Huxley Neural Theory by Jane Cronin

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.

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Ebook Details
Pages: 276
Size: 10.7 MB
Publisher: Cambridge University Press
Date published:   1987
ISBN: 9780511899270 (DRM-PDF)

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This product is listed in the following category:

Nonfiction > Mathematics > Applied

This author has products in the following categories:

Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Applied

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