Mathematical biology : modeling and analysis
著者
書誌事項
Mathematical biology : modeling and analysis
（Regional conference series in mathematics, no. 127）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c2018
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注記
Published with support from the National Science Foundation
"2018 NSF-CBMS Regional Research Conferences in the Mathematical Sciences on "Mathematical Biology: Modeling and Analysis" hosted by Howard University in Washington, DC, May 21-25, 2018"--T.p. verso
"Applied mathematics"--Cover
Includes bibliographical references (p. 95-97) and index
内容説明・目次
内容説明
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.
目次
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
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