Nonlinear Dynamics in Physiology and Medicine
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
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S.S.Antman J.E. Marsden L. Sirovich S. Wiggins Geophysics and Planetary Sciences Mathematical Biology
L. Glass, J.D. Murray Mechanics and Materials
R.V.Kohn Systems and Control
S.S. Sastry, P.S. Krishnaprasad
Problems in engineering, computational science, and the physical and biologica! sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines bas led to the establishment ofthe series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, frrstly, by encouraging the ways that that mathematics may be applied in traditional areas, as well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathernaticians outlining their problems to both access new methods and suggest innovative developments within mathernatics itself. The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.
Interdisciplinary Applied Mathematics Volumes published are listed at the end of the book.
Springer Science+Business Media, LLC
Anne Beuter Leon Glass Michael C. Mackey Michele S. Titcombe Editors
Nonlinear Dynamics in Physiology and Medicine With 162 Illustrations
~Springer
Anne Beuter Institut de Biologie Universite de Montpellier 1 4, Boulevard Henri IV Montpellier Cedex 1, 34060 France [email protected]
Leon Glass Department of Physiology McGill University Montreal, Quebec H3G 1Y6 Canada [email protected]
Michael C. Mackey Department of Physiology McGill University Montreal, Quebec H3G 1Y6 Canada [email protected]
Micbe1e S. Titcombe Department of Physio1ogy McGill University Montreal, Quebec H3G 1Y6 Canada [email protected]
Editors s.s. Antman Department of Mathematics and Institute for Physical Science and Technology University ofMaryland College Park, MD 20742 USA [email protected]
J.E. Marsden Control and Dynamical Systems Mai! Code 107-81 California Institute ofTechno1ogy Pasadena, CA 91125 USA [email protected]
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]
S. Wiggins School ofMathematics University of Bristol Bristol BSS 1TW
UK
[email protected]
Mathematics Subject Classification (2000): 92Cxx, 37-01 Library of Congress Cata1oging-in-Publication Data Nonlinear dynarnics in physiology and medicine 1 editors, Anne Beuter ... [et al.]. p. cm-(Interdisciplinary applied mathematics ; v.25) lncludes bibliographical references and index.
1. Physiology-Mathematical models. 2. Nonlinear systerns. 3. Dynarnics. l. Beuter, Anne. Il. Series. QP33.6.M36N663 2003 612".001"5118-dc21 2003044936
ISBN 978-1-4
