Softcover ISBN:  9781470447151 
Product Code:  CBMS/127 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
eBook ISBN:  9781470448035 
Product Code:  CBMS/127.E 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
Softcover ISBN:  9781470447151 
eBook: ISBN:  9781470448035 
Product Code:  CBMS/127.B 
List Price:  $110.00 $82.50 
MAA Member Price:  $99.00 $74.25 
AMS Member Price:  $88.00 $66.00 
Softcover ISBN:  9781470447151 
Product Code:  CBMS/127 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
eBook ISBN:  9781470448035 
Product Code:  CBMS/127.E 
List Price:  $55.00 
MAA Member Price:  $49.50 
AMS Member Price:  $44.00 
Softcover ISBN:  9781470447151 
eBook ISBN:  9781470448035 
Product Code:  CBMS/127.B 
List Price:  $110.00 $82.50 
MAA Member Price:  $99.00 $74.25 
AMS Member Price:  $88.00 $66.00 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 127; 2018; 100 ppMSC: Primary 35; 37; 49; 92
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.
ReadershipGraduate students and researchers interested in applications of PDEs to math biology.

Table of Contents

Chapters

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


Additional Material

Reviews

This small book gives a deep insight into the mathematical modeling of some carefully selected biological problems...The book is written in a very attractive style. Its reading proves very inspiring: its contents, bibliography and many open questions posed in the text may provide the reader with a starting point for further research.
Stanisław Sedziwy, Mathematical Reviews


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 Book Details
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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 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.
Graduate students and researchers interested in applications of PDEs to math biology.

Chapters

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

This small book gives a deep insight into the mathematical modeling of some carefully selected biological problems...The book is written in a very attractive style. Its reading proves very inspiring: its contents, bibliography and many open questions posed in the text may provide the reader with a starting point for further research.
Stanisław Sedziwy, Mathematical Reviews