eBook - PDF

Mathematical Biology

Name: Mathematical Biology
Author: Avner Friedman

Modeling and Analysis

Avner Friedman,

English
PDF
Available on iOS & Android

eBook - PDF

Mathematical Biology

Modeling and Analysis

Avner Friedman,

Book details

Table of contents

Citations

About This Book

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.

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Information

Publisher

American Mathematical Society, Conference Board of Mathematical Sciences

Year

2018

ISBN

9781470448035

Topic

Mathematics

Subtopic

Mathematical Analysis

Index

Mathematics

Cover
Title page
Contents
Preface
Chapter 1. Introductory biology
Chapter 2. Introduction to modeling
Chapter 3. Models of population dynamics
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 model
Appendix: Introduction to PDEs
Bibliography
Index
Back Cover