Mathematical Biology II: Spatial Models and Biomedical ApplicationsSpringer 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 |
760 | |
763 | |
Index | 780 |
791 | |
Outras edições - Ver todos
Mathematical Biology II: Spatial Models and Biomedical Applications James D. Murray Prévia não disponível - 2011 |
Mathematical Biology II: Spatial Models and Biomedical Applications James D. Murray Prévia não disponível - 2003 |
Termos e frases comuns
actin alligator analysis angiogenesis approximation bacteria behaviour bifurcation biological boundary conditions calcium cell density cell traction Chapter chemical chemoattractant chemotaxis collagen complex concentration consider deformation denotes dermal dermis determine developmental diffusion coefficient discussed dispersion relation domain effect eigenvalues elastic embryo example experimental experiments extracellular matrix fibres function geometry given glioma grey squirrel haptotaxis illustrated in Figure increases inhibitor initial conditions interaction kinetics limb linear mathematical matrix mesenchyme mitosis model mechanism modes morphogen morphogenesis Murray nondimensional nonlinear numerical simulations obtained one-dimensional parameter values pattern formation pattern formation mechanism perturbation predicted problem qualitative reaction diffusion system region Section Sherratt shown in Figure solutions spatial patterns specific strain stress stripes teeth primordia tensor term tion tissue traction forces travelling wave uniform steady unstable wavelength wavenumbers white matter wing wound healing zero flux