Mathematical Biology

J.D. Murray9780387952284, 0-387-95228-4, 0387952233

In the ten years since the first edition of this book appeared the field of mathematical biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modelling 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 modelling can address. Due to this tremendous development in recent years, for this new edition Murray is covering certain items in depth, giving new applications such as modelling marital interaction, growth of cancer tumours, temperature sex determination, wolf territoriality, wolf-deer survival etc. In other areas he discusses basic modelling concepts and provides further references as needed. He also provides even closer links between models and experimental data throughout the text. The book continues to present a broad view of the field of theoretical and mathematical biology and gives us an excellent background from which to begin geniune interdisciplinary research in the biomedical sciences.

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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
A……Page 819
B……Page 820
C……Page 821
D……Page 823
E……Page 824
F……Page 825
G……Page 826
J……Page 827
K,L……Page 828
M……Page 829
N……Page 830
O,P……Page 831
R……Page 833
S……Page 834
T……Page 835
U,V,W……Page 837
X,Y,Z……Page 839