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Mathematical biology. Modeling and analysis

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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 on modeling, rather than on numerical methods and simulations. The models studied are concerned with population  Read more...

Abstract:
Considers models that are described by systems of partial differential equations, focusing on modelling rather than on numerical methods and simulations. The models studied are concerned with  Read more...

Author(s): Friedman, Avner
Series: Conference Board ot the Mathematical Science 127
Publisher: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society
Year: 2018

Language: English
Pages: 112
Tags: Biology -- Mathematical models.;NATURE -- Reference.;SCIENCE -- Life Sciences -- Biology.;SCIENCE -- Life Sciences -- General.

Content: Cover
Title page
Contents
Preface
Chapter 1. Introductory biology
Chapter 2. Introduction to modeling
Chapter 3. Models of population dynamics
3.1. Chemostat
3.2. Infectious diseases
3.3. A cancer model
Chapter 4. Cancer and the immune system
Chapter 5. Parameters estimation
Chapter 6. Mathematical analysis inspired by cancer models
Chapter 7. Mathematical model of atherosclerosis: Risk of high cholesterol
Chapter 8. Mathematical analysis inspired by the atherosclerosis model
Chapter 9. Mathematical models of chronic wounds. Chapter 10. Mathematical analysis inspired by the chronic wound modelAppendix: Introduction to PDEs
A.1. Elliptic equations
A.2. Parabolic equations
A.3. Nonlinear equations and systems
A.4. Free boundary problems
Bibliography
Index
Back Cover.