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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.
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.
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 Professor Mazumdar is a recipient of number of prestigious awards. He is a Fellow of a number of academic bodies.
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.
'It can be highly recommended to biomedical engineers and all students of mathematical biology.' Acta Cardiologica
A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.
This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. Based on courses taught by the author, the text includes many exercises that examine key points. All students of mathematical biology will find this book to be a highly useful resource.
This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. Based on courses taught by the author, the text includes many exercises that examine key points. All students of mathematical biology will find this book to be a highly useful resource.