An Introduction to Mathematical Physiology and Biology

ISBN-13: 9780521646758 / Angielski / Miękka / 1999 / 244 str.

J. Mazumdar; C. Cannings; F. C. Hoppensteadt

Opis

This textbook is concerned with the mathematical modeling 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 edition includes new chapters on epidemiology, including modeling the spread of AIDS through a population. Coverage is based on courses taught by the author over many years and the material is 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.

Recenzje

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

Spis treści

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.