Softcover ISBN: | 978-1-4704-4715-1 |
Product Code: | CBMS/127 |
List Price: | $55.00 |
MAA Member Price: | $49.50 |
AMS Member Price: | $44.00 |
eBook ISBN: | 978-1-4704-4803-5 |
Product Code: | CBMS/127.E |
List Price: | $55.00 |
MAA Member Price: | $49.50 |
AMS Member Price: | $44.00 |
Softcover ISBN: | 978-1-4704-4715-1 |
eBook: ISBN: | 978-1-4704-4803-5 |
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: | 978-1-4704-4715-1 |
Product Code: | CBMS/127 |
List Price: | $55.00 |
MAA Member Price: | $49.50 |
AMS Member Price: | $44.00 |
eBook ISBN: | 978-1-4704-4803-5 |
Product Code: | CBMS/127.E |
List Price: | $55.00 |
MAA Member Price: | $49.50 |
AMS Member Price: | $44.00 |
Softcover ISBN: | 978-1-4704-4715-1 |
eBook ISBN: | 978-1-4704-4803-5 |
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 |
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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.
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Table of Contents
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Chapters
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Introductory biology
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Introduction to modeling
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Models of population dynamics
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Cancer and the immune system
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Parameters estimation
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Mathematical analysis inspired by cancer models
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Mathematical model of artherosclerosis: Risk of high cholesterol
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Mathematical analysis inspired by the atherosclerosis model
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Mathematical models of chronic wounds
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Mathematical analysis inspired by the chronic wound model
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Introduction to PDEs
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Additional Material
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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