The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses
Mathematical Biology. Modeling and Analysis
β Scribed by Avner Friedman
- Publisher
- American Mathematical Society
- Year
- 2018
- Tongue
- English
- Leaves
- 112
- Series
- Conference Board of the Mathematical Sciences / Regional Conference Series in Mathematics 127
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Cover......Page 1
Title page......Page 4
Contents......Page 6
Preface......Page 8
Chapter 1. Introductory biology......Page 10
Chapter 2. Introduction to modeling......Page 16
3.1. Chemostat......Page 24
3.2. Infectious diseases......Page 27
3.3. A cancer model......Page 30
Chapter 4. Cancer and the immune system......Page 34
Chapter 5. Parameters estimation......Page 42
Chapter 6. Mathematical analysis inspired by cancer models......Page 50
Chapter 7. Mathematical model of atherosclerosis: Risk of high cholesterol......Page 60
Chapter 8. Mathematical analysis inspired by the atherosclerosis model......Page 72
Chapter 9. Mathematical models of chronic wounds......Page 80
Chapter 10. Mathematical analysis inspired by the chronic wound model......Page 88
A.1. Elliptic equations......Page 94
A.2. Parabolic equations......Page 97
A.3. Nonlinear equations and systems......Page 98
A.4. Free boundary problems......Page 100
Bibliography......Page 104
Index......Page 108
Back Cover......Page 112
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