An Introduction to Mathematical Physiology and Biology

An Introduction to Mathematical Physiology and Biology

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Description

This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.show more

Product details

  • Online resource
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • Revised
  • 2nd Revised edition
  • 1139173278
  • 9781139173278

Review quote

'It can be highly recommended to biomedical engineers and all students of mathematical biology.' Acta Cardiologicashow more

Table of contents

Preface; 1. Dimensional analysis in mathematical physiology; 2. The mathematics of diffusion; 3. Population biology; 4. Biogeography: mathematical analysis of wildlife reserves; 5. Pharmacokinetics: drug distribution in pharmacology; 6. Mathematical modelling in epidemiology; 7. Modelling the AIDS epidemic; 8. Biological fluid mechanics; 9. Analysis and applications of left ventricular mechanics; 10. Analysis and applications of heart valve vibration; 11. Medical devices; Glossary of terms; References; Index.show more

About J. Mazumdar

Professor Mazumdar is an Adjunct Professor in the School of Mathematical Sciences as well as in the School of Electrical and Electronic Engineering of the University of Adelaide. His main research interests are in the fields of Solid Mechanics, Mathematical Biology, Biomechanics and Biomedical Engineering. He has published nearly 200 research papers in these areas. He has written two books entitled An Introduction to Mathematical Physiology and Biology, 2nd edition, Cambridge University Press 1999, and Biofluid Mechanics' World Scientific,1992. He has also written chapters in a number of well-known books. The details of his research activities can be viewed in his homepage www.maths.adelaide.edu.au/people/jmazumdar. Professor Mazumdar is a recipient of number of prestigious awards. He is a Fellow of a number of academic bodies.show more