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Mathematical Biology

  • Textbook
  • © 1989

Overview

Authors:
  1. James D. Murray

    1. Centre for Mathematical Biology Mathematical Institute, University of Oxford, Oxford, Great Britain

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Part of the book series: Biomathematics (BIOMATHEMATICS, volume 19)

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Table of contents (20 chapters)

  1. Front Matter

    Pages I-XIV
    Download chapter PDF

  2. Continuous Population Models for Single Species

    • James D. Murray
    Pages 1-35

  3. Discrete Population Models for a Single Species

    • James D. Murray
    Pages 36-62

  4. Continuous Models for Interacting Populations

    • James D. Murray
    Pages 63-94

  5. Discrete Growth Models for Interacting Populations

    • James D. Murray
    Pages 95-108

  6. Reaction Kinetics

    • James D. Murray
    Pages 109-139

  7. Biological Oscillators and Switches

    • James D. Murray
    Pages 140-178

  8. Belousov-Zhabotinskii Reaction

    • James D. Murray
    Pages 179-199

  9. Perturbed and Coupled Oscillators and Black Holes

    • James D. Murray
    Pages 200-231

  10. Reaction Diffusion, Chemotaxis and Non-local Mechanisms

    • James D. Murray
    Pages 232-253

  11. Oscillator Generated Wave Phenomena and Central Pattern Generators

    • James D. Murray
    Pages 254-273

  12. Biological Waves: Single Species Models

    • James D. Murray
    Pages 274-310

  13. Biological Waves: Multi-species Reaction Diffusion Models

    • James D. Murray
    Pages 311-359

  14. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results

    • James D. Murray
    Pages 360-371

  15. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms

    • James D. Murray
    Pages 372-434

  16. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms

    • James D. Murray
    Pages 435-480

  17. Neural Models of Pattern Formation

    • James D. Murray
    Pages 481-524

  18. Mechanical Models for Generating Pattern and Form in Development

    • James D. Murray
    Pages 525-592

  19. Evolution and Developmental Programmes

    • James D. Murray
    Pages 593-609

  20. Epidemic Models and the Dynamics of Infectious Diseases

    • James D. Murray
    Pages 610-650
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Keywords

About this book

Mathematical biology - the use of mathematical ideas and models in the biosciences - is a fast growing, very exciting and increasingly important inderdisciplinary field. This textbook is an account of some of the major techniques and models used and of some genuine practical applications drawn from current areas of research interest in, for example, population ecology, developmental biology, physiology, epidemiology and evolution. It provides the reader with a thorough background, sufficient to start genuine interdisciplinary collaborative reserach with biomedical scientists.

Authors and Affiliations

  • Centre for Mathematical Biology Mathematical Institute, University of Oxford, Oxford, Great Britain

    James D. Murray

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