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Mathematical Biology By J.D. Murray :: I. An Introduction Third Edition :: About this Textbook : 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.

SIAM, 2004: “Murray’s Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. … I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics.”

 

Table of contents :

Cover Page……Page 1
Cover Page 2……Page 2
Interdisciplinary Applied Mathematics……Page 3
Title Page……Page 5
ISBN 0-387-95228-4……Page 6
Preface to the Third Edition……Page 9
Preface to the First Edition……Page 13
2. Spatial Pattern Formation with Reaction Diffusion Systems……Page 17
6. Mechanical Theory for Generating Pattern and Form in Development……Page 18
10. DermalWound Healing……Page 19
13. Geographic Spread and Control of Epidemics……Page 20
Index……Page 21
CONTENTS, VOLUME I……Page 23
1. Multi-SpeciesWaves and Practical Applications……Page 29
2. Spatial Pattern Formation with Reaction Diffusion Systems……Page 99
3. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms……Page 169
4. Pattern Formation on Growing Domains: Alligators and Snakes……Page 220
5. Bacterial Patterns and Chemotaxis……Page 281
6. Mechanical Theory for Generating Pattern and Form in Development……Page 339
7. Evolution, Morphogenetic Laws, Developmental Constraints and Teratologies……Page 424
8. A Mechanical Theory of Vascular Network Formation……Page 444
9. EpidermalWound Healing……Page 469
10. DermalWound Healing……Page 519
11. Growth and Control of Brain Tumours……Page 564
12. Neural Models of Pattern Formati……Page 642
13. Geographic Spread and Control of Epidemics……Page 689
14. Wolf Territoriality,Wolf–Deer Interaction and Survival……Page 750
Appendix A. General Results for the Laplacian Operator in Bounded Domains……Page 785
Bibliography……Page 789

 

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Mathematical Biology II Spatial Models and Biomedical Applications

Author(s): J.D. Murray

Publisher: Springer, Year: 2003

ISBN: 9780387952284,0387952284

Mathematical Biology By J.D. Murray

 

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