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Nonlinear Dynamics in Physiology and Medicine v. 25 (Interdisciplinary Applied Mathematics S.) 460 pages - hardback Springer-Verlag New York Inc. - (isbn 0-387-00449-1) Jul. 2003 |
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| Price: |
79,17 EUR
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| Editor: |
Beuter, Anne (University of Quebec, Montreal, Canada)
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| Description: |
This
book deals with the application of mathematics in modeling and
understanding physiological systems, especially those involving
rhythms. It is divided roughly into two sections. In the first part of
the book, the authors introduce ideas and techniques from nonlinear
dynamics that are relevant to the analysis of biological rhythms. The
second part consists of five in-depth case studies in which the authors
use the theoretical tools developed earlier to investigate a number of
physiological processes: the dynamics of excitable nerve and cardiac
tissue, resetting and entrainment of biological oscillators, the
effects of noise and time delay on the pupil light reflex, pathologies
associated with blood cell replication, and Parkinsonian tremor. One
novel feature of the book is the inclusion of classroom-tested computer
exercises throughout, designed to form a bridge between the
mathematical theory and physiological experiments.This book will be of
interest to students and researchers in the natural and physical
sciences wanting to learn about the complexities and subtleties of
physiological systems from a mathematical perspective.The authors are
members of the Centre for Nonlinear D The material in this book was
developed for use in courses and was presented in three Summer Schools
run by the authors in Montreal.
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| Contents List: |
Theoretical
Approaches in Physiology * Introduction to Dynamics in Nonlinear
Difference and Differential Equations * Bifurcations Involving Fixed
Points and Limit Cycles in Biological Systems * Dynamics of Excitable
Cells * Resetting and Entraining Biological Rhythms * Effects of Noise
on Nonlinear Dynamics * Reentry in Excitable Media * Cell Replication
and Control * Pupil Light Reflex: Delays and Oscillations * Data
Analysis and Mathematical Modeling of Human Tremor * An Introduction to
XPP * An Introduction to Matlab * Time Series Analysis * Bibliography *
Index
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| Illustrations etc.: | 162 illustrations | |||||||
| Weight: | 794 g | |||||||
| Dimensions: | 230 | |||||||
| Publisher: | Springer-Verlag New York Inc. | |||||||
| Springer-Verlag | ||||||||