Mathematical biology. Modeling and analysis
β Scribed by Friedman, Avner
- Publisher
- Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society
- Year
- 2018
- Tongue
- English
- Leaves
- 112
- Series
- Conference Board ot the Mathematical Science 127
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 Β Read more...
Abstract:
β¦ Table of Contents
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.
β¦ Subjects
Biology -- Mathematical models.;NATURE -- Reference.;SCIENCE -- Life Sciences -- Biology.;SCIENCE -- Life Sciences -- General.
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<p>This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. Β The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bi
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurc
<p><p>This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from