Mathematical Physiology

  • James Keener
  • James Sneyd

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 8)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Cellular Physiology

    1. Front Matter
      Pages 1-1
    2. Pages 33-73
    3. Pages 74-115
    4. Pages 116-159
    5. Pages 160-187
    6. Pages 312-332
    7. Pages 333-354
  3. Systems Physiology

    1. Front Matter
      Pages 377-377
    2. Pages 379-433
    3. Pages 434-479
    4. Pages 480-515
    5. Pages 516-541
    6. Pages 542-578
    7. Pages 579-611
    8. Pages 612-636
    9. Pages 665-700
    10. Pages 701-728
  4. Back Matter
    Pages 729-767

About this book



Mathematical Physiology provides an introduction into physiology using the tools and perspectives of mathematical modeling and analysis. It describes ways in which mathematical theory may be used to give insights into physiological questions and how physiological questions can in turn lead to new mathematical problems.

The book is divided into two parts, the first dealing with the fundamental principles of cell physiology, and the second with the physiology of systems. In the first part, after an introduction to basic biochemistry and enzyme reactions, the authors discuss volume control, the membrane potential, ionic flow through channels, excitability, calcium dynamics, and electrical bursting. This first part concludes with spatial aspects such as a synaptic transmission, gap junctions, the linear cable equation, nonlinear wave propagation in neurons, and calcium waves.

In the second part, the human body is studied piece by piece, beginning with an introduction to electrocardiology, followed by the physiology of the circulatory system, blood, muscle, hormones, and kidneys. Finally, the authors examine the digestive system and the visual system, ending with the inner ear.

This book will be of interest to researchers, to graduate students and advanced undergraduate students in applied mathematics who wish to learn how to build and analyze mathematical models and to become familiar with new areas of application, as well as to physiologists interested in learning about theoretical approaches to their work.

The inclusion of numerous exercises and models could be used to add further interest and challenge to traditional courses taught by applied mathematicians, bioengineers, and physiologists.


Mathematical Physiology biochemistry cell dynamics enzyme mathematical modeling mathematics physiology respiration retina

Authors and affiliations

  • James Keener
    • 1
  • James Sneyd
    • 2
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA
  2. 2.Institute of Information and Mathematic SciencesMassey University, Albany CampusAucklandNew Zealand

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag, New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98381-3
  • Online ISBN 978-0-387-22706-1
  • Series Print ISSN 0939-6047
  • Buy this book on publisher's site