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Viser: Mathematical Models in Biology
Mathematical Models in Biology
Leah Edelstein-Keshet
(2005)
Sprog: Engelsk
Society for Industrial and Applied Mathematics
799,00 kr.
7 stk på lager
Hvor er varen på lager?Detaljer om varen
- Paperback: 629 sider
- Udgiver: Society for Industrial and Applied Mathematics (Februar 2005)
- ISBN: 9780898715545
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community since its first publication in 1988, the book shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in the book are still important and informative.
Shortly after its publication, 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.
Shortly after its publication, 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.
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
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