Mathematical Biology
Modeling and Analysis
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-4715-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-4715-1 (ISBN)
Considers models that are described by systems of partial differential equations, focusing on modelling 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.
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.
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.
Avner Friedman, Ohio State University, Columbus, OH.
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
| Erscheinungsdatum | 19.09.2018 |
|---|---|
| Reihe/Serie | CBMS Regional Conference Series in Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 214 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Biologie | |
| ISBN-10 | 1-4704-4715-0 / 1470447150 |
| ISBN-13 | 978-1-4704-4715-1 / 9781470447151 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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