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内容説明
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.
Book Description
Professor Cronin offers, for the first time, a synthesis of the work of Hodgkin and Huxley on nerve conduction. This information has previously been scattered throughout various media and difficult to retrieve. In this book the author thoroughly describes and analyzes their mathematical models (nonlinear ordinary and partial differential equations) and later models.
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2012/08/18 (Sat) 16:03:17
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