Mathematical Biology II. Spatial Models And Biomedical Applications

✍ Scribed by J.D. Murray

• Publisher: Springer
• Year: 2003
• Tongue: English
• Leaves: 838
• Edition: 3rd
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Cover Page......Page 1
Cover Page 2......Page 0
Interdisciplinary Applied Mathematics......Page 2
Title Page......Page 4
ISBN 0-387-95228-4......Page 5
Preface to the Third Edition......Page 8
Preface to the First Edition......Page 12
2. Spatial Pattern Formation with Reaction Diffusion Systems......Page 16
6. Mechanical Theory for Generating Pattern and Form in Development......Page 17
10. DermalWound Healing......Page 18
13. Geographic Spread and Control of Epidemics......Page 19
Index......Page 20
CONTENTS, VOLUME I......Page 22
1. Multi-SpeciesWaves and Practical Applications......Page 28
2. Spatial Pattern Formation with Reaction Diffusion Systems......Page 98
3. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms......Page 168
4. Pattern Formation on Growing Domains: Alligators and Snakes......Page 219
5. Bacterial Patterns and Chemotaxis......Page 280
6. Mechanical Theory for Generating Pattern and Form in Development......Page 338
7. Evolution, Morphogenetic Laws, Developmental Constraints and Teratologies......Page 423
8. A Mechanical Theory of Vascular Network Formation......Page 443
9. EpidermalWound Healing......Page 468
10. DermalWound Healing......Page 518
11. Growth and Control of Brain Tumours......Page 563
12. Neural Models of Pattern Formati......Page 641
13. Geographic Spread and Control of Epidemics......Page 688
14. Wolf Territoriality,Wolf–Deer Interaction and Survival......Page 749
Appendix A. General Results for the Laplacian Operator in Bounded Domains......Page 784
Bibliography......Page 788
A......Page 818
B......Page 819
C......Page 820
D......Page 822
E......Page 823
F......Page 824
G......Page 825
J......Page 826
K,L......Page 827
M......Page 828
N......Page 829
O,P......Page 830
R......Page 832
S......Page 833
T......Page 834
U,V,W......Page 836
X,Y,Z......Page 838