Nonlinear Dynamics in Physiology and Medicine

  • Anne Beuter
  • Leon Glass
  • Michael C. Mackey
  • Michèle S. Titcombe

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 25)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Michael C. Mackey, Anne Beuter
    Pages 1-7
  3. Michael R. Guevara
    Pages 87-121
  4. André Longtin
    Pages 149-189
  5. Marc Courtemanche, Alain Vinet
    Pages 191-232
  6. Michael C. Mackey, Caroline Haurie, Jacques Bélair
    Pages 233-269
  7. Anne Beuter, Roderick Edwards, Michèle S. Titcombe
    Pages 303-355
  8. Back Matter
    Pages 357-435

About this book

Introduction

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 Dynamics in Physiology and Medicine. The material in this book was developed for use in courses and was presented in three Summer Schools run by the authors in Montreal.

Keywords

MATLAB Parkinson blood cell distribution linear optimization mathematical modeling numerics ordinary differential equation physiology tissue

Editors and affiliations

  • Anne Beuter
    • 1
  • Leon Glass
    • 2
  • Michael C. Mackey
    • 2
  • Michèle S. Titcombe
    • 2
  1. 1.Institut de BiologieUniversite de Montpellier 1Montpellier Cedex 1France
  2. 2.Department of PhysiologyMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21640-9
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-1821-5
  • Online ISBN 978-0-387-21640-9
  • Series Print ISSN 0939-6047
  • About this book