Mathematical aspects of Hodgkin-Huxley neural theory  pbk

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • 1. Introduction
  • 2. Nerve conduction: the work of Hodgkin and Huxley
  • 3. Nerve conduction: other mathematical models
  • 4. Models of other electrically excitable cells
  • 5. Mathematical theory
  • 6. Mathematical analysis of physiological models
  • Appendix
  • References.

「Nielsen BookData」より

[目次]

  • 1. Introduction
  • 2. Nerve conduction: the work of Hodgkin and Huxley
  • 3. Nerve conduction: other mathematical models
  • 4. Models of other electrically excitable cells
  • 5. Mathematical theory
  • 6. Mathematical analysis of physiological models
  • Appendix
  • References.

「Nielsen BookData」より

この本の情報

書名 Mathematical aspects of Hodgkin-Huxley neural theory
著作者等 Cronin, Jane
Hoppensteadt, Frank C.
Segel, L. A.
Cannings, C.
シリーズ名 Cambridge studies in mathematical biology
巻冊次 pbk
出版元 Cambridge University Press
刊行年月 c1987
ページ数 xi, 261 p.
大きさ 23 cm
ISBN 0521334829
9780521063883
NCID BA0351585X
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言語 英語
出版国 イギリス
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