Mathematical Biology II: Spatial Models and Biomedical Applications

Capa
Springer Science & Business Media, 15 de fev. de 2011 - 814 páginas
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 genuine interdisciplinary research in the biomedical sciences.
 

Conteúdo

Continuous Population Models for Single Species
1
Appendices
6
Reaction Diffusion Chemotaxis and Nonlocal Mechanisms
11
1
17
88
37
6
41
99
45
7
49
BZ Oscillating Reactions
257
3
261
1
274
Exercises
277
6
281
3
283
7
287
9
297

Spiral Waves
55
9
61
1
67
2
75
4
82
1
92
1
98
2
105
6
108
TemperatureDependent Sex Determination TSD
119
4
133
7
139
Divorce Prediction
146
3
153
2
156
5
163
Reaction Kinetics
175
21
176
Alligators and Snakes
192
4
205
6
213
6
230
12
238
CellChemotaxis Model Mechanism
247
Bacterial Patterns and Chemotaxis
253
Mechanical Theory for Generating Pattern and Form in Development
311
Dynamics of Infectious Diseases
315
6
323
Evolution Morphogenetic Laws Developmental Constraints
396
7
398
3
407
1
416
Epidermal Wound Healing
441
Dermal Wound Healing
491
Growth and Control of Brain Tumours
536
120
582
Neural Models of Pattern Formation
614
Exercises
659
Geographic Spread and Control of Epidemics
661
7
705
Exercises
720
Wolf Territoriality WolfDeer Interaction and Survival
722
44
741
Appendix
757
Bibliography
760
67
763
Index
780
Index
791
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