
Mathematical Models in Biology
Leah Edelstein-Keshet(Author)
Society for Industrial & Applied Mathematics,U.S. (Publisher)
Published on 28. February 2005
Book
Paperback/Softback
629 pages
978-0-89871-554-5 (ISBN)
Description
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. Connections are made between diverse biological examples linked by common mathematical themes, exploring a variety of discrete and continuous ordinary and partial differential equation models. Although great advances have taken place in many of the topics covered, the simple lessons contained in Mathematical Models in Biology are still important and informative. Shortly after the first publication of Mathematical Models in Biology, the genomics revolution turned Mathematical Biology into a prominent area of interdisciplinary research. In this new millennium, biologists have discovered that mathematics is not only useful, but indispensable! As a result, there has been much resurgent interest in, and a huge expansion of, the fields collectively called mathematical biology. This book serves as a basic introduction to concepts in deterministic biological modeling.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 231 mm
Width: 186 mm
Thickness: 38 mm
Weight
1235 gr
ISBN-13
978-0-89871-554-5 (9780898715545)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Leah Edelstein-Keshet is a member of the Mathematics Department at the University of British Columbia and past president of the Society for Mathematical Biology. She has been involved in research in mathematical biology for over 30 years, most recently as a team leader of a Mathematics of Information Technology and Complex Systems MITACS (Canada) biomedical modeling team.
Content
Acknowledgments
Part 1: Discrete Process in Biology
Chapter 1: The Theory of Linear Difference Equations Applied to Population Growth
Chapter 2: Nonlinear Difference Equations
Chapter 3: Applications of Nonlinear Difference Equations to Population Biology
Part 2: Continuous Processes and Ordinary Differential Equations
Chapter 4: An Introduction to Continuous Models
Chapter 5: Phase-Plane Methods and Qualitative Solutions
Chapter 6: Applications of Continuous Models to Population Dynamics
Chapter 7: Models for Molecular Events
Chapter 8: Limit Cycles, Oscillations, and Excitable Systems
Part 3: Spatially Distributed Systems and Partial Differential Equation Models
Chapter 9: An Introduction to Partial Differential Equations and Diffusion in Biological Settings
Chapter 10: Partial Differential Equation Models in Biology
Chapter 11: Models for Development and Pattern Formation in Biological Systems
Selected Answers
Author
Index
Subject
Index
Part 1: Discrete Process in Biology
Chapter 1: The Theory of Linear Difference Equations Applied to Population Growth
Chapter 2: Nonlinear Difference Equations
Chapter 3: Applications of Nonlinear Difference Equations to Population Biology
Part 2: Continuous Processes and Ordinary Differential Equations
Chapter 4: An Introduction to Continuous Models
Chapter 5: Phase-Plane Methods and Qualitative Solutions
Chapter 6: Applications of Continuous Models to Population Dynamics
Chapter 7: Models for Molecular Events
Chapter 8: Limit Cycles, Oscillations, and Excitable Systems
Part 3: Spatially Distributed Systems and Partial Differential Equation Models
Chapter 9: An Introduction to Partial Differential Equations and Diffusion in Biological Settings
Chapter 10: Partial Differential Equation Models in Biology
Chapter 11: Models for Development and Pattern Formation in Biological Systems
Selected Answers
Author
Index
Subject
Index