Mathematical Aspects of Hodgkin-Huxley Neural Theory [Paperback]

This book is an introduction to the study of mathematical models of electrically active cells.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. 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.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. 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.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.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.