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Mathematical Biology. Modeling and Analysis

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Author(s): Avner Friedman
Series: Conference Board of the Mathematical Sciences / Regional Conference Series in Mathematics 127
Publisher: American Mathematical Society
Year: 2018

Language: English
Pages: 112

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