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Mathematical Biology

Mathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of the foreseeable future. For the continuing health of their subject mathematicians must become involved...

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Bibliographic Details
Main Author: Murray, James D.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:2nd ed. 1993
Series:Biomathematics
Subjects:
Mathematical And Computational Biology
Biostatistics
Biomathematics
Biophysics
Biometry
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Continuous Population Models for Single Species
  • 2. Discrete Population Models for a Single Species
  • 3. Continuous Models for Interacting Populations
  • 4. Discrete Growth Models for Interacting Populations
  • 5. Reaction Kinetics
  • 6. Biological Oscillators and Switches
  • 7. Belousov-Zhabotinskii Reaction
  • 8. Perturbed and Coupled Oscillators and Black Holes
  • 9. Reaction Diffusion, Chemotaxis and Non-local Mechanisms
  • 10. Oscillator Generated Wave Phenomena and Central Pattern Generators
  • 11. Biological Waves: Single Species Models
  • 12. Biological Waves: Multi-species Reaction Diffusion Models
  • 13. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results
  • 14. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms
  • 15. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms
  • 16. Neural Models of Pattern Formation
  • 17. Mechanical Models for Generating Pattern and Form in Development
  • 18. Evolution and Developmental Programmes
  • 19. Epidemic Models and the Dynamics of Infectious Diseases
  • 20. Geographic Spread of Epidemics
  • Appendices
  • 1. Phase Plane Analysis
  • 2. Routh-Hurwitz Conditions, Jury Conditions, Descartes’ Rule of Signs and Exact Solutions of a Cubic
  • 3. Hopf Bifurcation Theorem and Limit Cycles
  • 4. General Results for the Laplacian Operator in Bounded Domains

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