An Introduction to Mathematical Physiology and Biology
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.
- Contains material from both mathematical biology and mathematical physiology
- Broad and interesting selection of topics
- No previous knowledge of applications of mathematics to physiology and biology necessary
Reviews & endorsements
'It can be highly recommended to biomedical engineers and all students of mathematical biology.' Acta Cardiologica
Product details
October 1999Paperback
9780521646758
244 pages
229 × 152 × 14 mm
0.36kg
Available
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.