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Mathematical Biology - An Introduction - 3rd edition

Murray, James D. 
Springer  2004  



Hardcover  551 pp  ISBN 0387952233      £45.00
It has been over a decade since the release of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modeling can address. Due to the tremendous development in the field this book is being published in two volumes. This first volume is an introduction to the field, the mathematics mainly involves ordinary differential equations that are suitable for undergraduate and graduate courses at different levels. For this new edition Murray is covering certain items in depth, giving new applications such as modeling marital interactions and temperature dependence sex determination.

Written for graduate students, undergraduate students, researchers

Contents

  • Multi-SpeciesWaves and Practical Applications
  • Spatial Pattern Formation with Reaction Diffusion Systems
  • Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms
  • Pattern Formation on Growing Domains: Alligators and Snakes
  • Bacterial Patterns and Chemotaxis
  • Mechanical Theory for Generating Pattern and Form in Development
  • Evolution, Morphogenetic Laws, Developmental Constraints and Teratologies
  • A Mechanical Theory of Vascular Network Formation
  • Epidermal Wound Healing
  • Dermal Wound Healing
  • Growth and Control of Brain Tumours
  • Neural Models of Pattern Formation
  • Geographic Spread and Control of Epidemics
  • Wolf Territoriality, Wolf-Deer Interaction and Survival
  • Appendix
  • General Results for the Laplacian Operator in Bounded Domains
  • Bibliography
  • Index
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