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Mathematical Models in Biology

Mathematical Models in Biology



Part of Classics in Applied Mathematics

  • Date Published: February 2005
  • availability: Available in limited markets only
  • format: Paperback
  • isbn: 9780898715545

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About the Authors
  • 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.

    • Suitable for anyone with essentially only a background knowledge of calculus and high-school algebra
    • Originally intended for third- and fourth-year undergraduate students, the book has also proved useful for beginning graduate students as well as researchers in mathematics
    • A favourite in the mathematical biology community since its first publication, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions
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    Product details

    • Date Published: February 2005
    • format: Paperback
    • isbn: 9780898715545
    • length: 184 pages
    • dimensions: 231 x 184 x 32 mm
    • weight: 1.3kg
    • availability: Available in limited markets only
  • Table of Contents

    Part I. Discrete Process in Biology:
    1. The theory of linear difference equations applied to population growth
    2. Nonlinear difference equations
    3. Applications of nonlinear difference equations to population biology
    Part II. Continuous Processes and Ordinary Differential Equations:
    4. An introduction to continuous models
    5. Phase-plane methods and qualitative solutions
    6. Applications of continuous models to population dynamics
    7. Models for molecular events
    8. Limit cycles, oscillations, and excitable systems
    Part III. Spatially Distributed Systems and Partial Differential Equation Models:
    9. An introduction to partial differential equations and diffusion in biological settings
    10. Partial differential equation models in biology
    11. Models for development and pattern formation in biological systems
    Selected answers
    Author index
    Subject index.

  • Author

    Leah Edelstein-Keshet, University of British Columbia, Vancouver

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