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9780898716122 Academic Inspection Copy

A Course in Mathematical Biology

Quantitative Modeling with Mathematical and Computational Methods
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The field of mathematical biology is growing rapidly. Questions about infectious diseases, heart attacks, cell signaling, cell movement, ecology, environmental changes, and genomics are now being analyzed using mathematical and computational methods. A Course in Mathematical Biology teaches all aspects of modern mathematical modeling and is specifically designed to introduce undergraduate students to problem solving in the context of biology. Divided into three parts, the book covers basic analytical modeling techniques and model validation methods; introduces computational tools used in the modeling of biological problems; and provides a source of open-ended problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, and there are many exercises related to biological questions. In addition, the book includes 25 open-ended research projects that can be used by students. The book is accompanied by a Web site that contains solutions to most of the exercises and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB (R).
Preface Part I: Theoretical Modeling Tools. Chapter 1: Introduction Chapter 2: Discrete-Time Models Chapter 3: Ordinary Differential Equations Chapter 4: Partial Differential Equations Chapter 5: Stochastic Models Chapter 6: Cellular Automata and Related Models Chapter 7: Estimating Parameters Part II: Self-Guided Computer Tutorial. Chapter 8: Maple Course Part III: Projects. Chapter 9: Project Descriptions Chapter 10: Solved Projects Appendix: Further Reading Bibliography Author Index Index.
This is the only book that teaches all aspects of modern mathematical modeling.
'There really is not a book that is directly comparable. Students will be able to study any area of biology with a mathematical perspective. The projects and the introduction to computation are a real bonus.' Fred Brauer, Department of Mathematics, University of British Columbia 'One can warmly recommend this book to any undergraduate students in life science or mathematics who want to be introduced to the fascinating field of biomathematics.' J.-P. Gabriel, Departement de Mathematiques de l'universite, Fribourg
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