
Mathematical Biology
Modeling and Analysis
Avner Friedman(Author)
American Mathematical Society (Publisher)
Published on 30. August 2018
Book
Paperback/Softback
101 pages
978-1-4704-4715-1 (ISBN)
Description
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 dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.
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 dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
214 gr
ISBN-13
978-1-4704-4715-1 (9781470447151)
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Schweitzer Classification
Person
Avner Friedman, Ohio State University, Columbus, OH.
Content
Introductory biology
Introduction to modeling
Models of population dynamics
Cancer and the immune system
Parameters estimation
Mathematical analysis inspired by cancer models
Mathematical model of artherosclerosis: Risk of high cholesterol
Mathematical analysis inspired by the atherosclerosis model
Mathematical models of chronic wounds
Mathematical analysis inspired by the chronic wound model
Introduction to PDEs
Bibliography
Index
Introduction to modeling
Models of population dynamics
Cancer and the immune system
Parameters estimation
Mathematical analysis inspired by cancer models
Mathematical model of artherosclerosis: Risk of high cholesterol
Mathematical analysis inspired by the atherosclerosis model
Mathematical models of chronic wounds
Mathematical analysis inspired by the chronic wound model
Introduction to PDEs
Bibliography
Index