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Nonlinear dynamics in physiology and medicine

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Introduces concepts from nonlinear dynamics using an almost exclusively biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and physiological systems. One novel feature of the book is the inclusion of classroom-tested computer exercises. This book will appeal to students and researchers working in the natural and physical sciences wanting to learn about physiological systems from a mathematical perspective.

Author(s): Anne Beuter; et al
Series: Interdisciplinary applied mathematics, v. 25
Publisher: Springer
Year: 2003

Language: English
Pages: xxvi, 434 p. : ill. ; 24 cm
City: New York
Tags: Биологические дисциплины;Матметоды и моделирование в биологии;


Content: 1. Theoretical Approaches in Physiology / Michael C. Mackey and Anne Beuter --
2. Introduction to Dynamics in Nonlinear Difference and Differential Equations / Jacques Belair and Leon Glass --
3. Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems / Michael R. Guevara --
4. Dynamics of Excitable Cells / Michael R. Guevara --
5. Resetting and Entraining Biological Rhythms / Leon Glass --
6. Effects of Noise on Nonlinear Dynamics / Andre Longtin --
7. Reentry in Excitable Media / Marc Courtemanche and Alain Vinet --
8. Cell Replication and Control / Michael C. Mackey, Caroline Haurie and Jacques Belair --
9. Pupil Light Reflex: Delays and Oscillations / John Milton --
10. Data Analysis and Mathematical Modeling of Human Tremor / Anne Beuter, Roderick Edwards and Michele S. Titcombe --
A. An Introduction to XPP / Michael C. Mackey --
B. An Introduction to Matlab / Michele S. Titcombe and Caroline Haurie --
C. Time Series Analysis / Roderick Edwards and Michele S. Titcombe.
Abstract:
Introduces concepts from nonlinear dynamics using a biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and Read more...