Interdisciplinary Applied Mathematics

Mathematical Physiology

Authors: Keener, James, Sneyd, James

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About this Textbook

 

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.

Reviews

From the reviews:

"Probably the best book ever written on the subject of mathematical physiology … It contains numerous exercises, enough to keep even the most diligent student busy, and a comprehensive list of approximately 600 references … highly recommended to anybody interested in mathematical or theoretical physiology." Mathematical Reviews

"In addition to being good reading, excellent pedagogy, and appealing science, the exposition is lucid and clear, and there are many good problem sets to choose from … Highly recommended." Journal of the Society of Mathematical Biology


Table of contents (23 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-22706-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Physiology
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
8
Copyright
1998
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-22706-1
DOI
10.1007/b98841
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XX, 767
Topics