| Description |
1 online resource (xiv, 767 pages) : illustrations |
| Series |
Biomathematics ; volume 19 |
|
Biomathematics ; v. 19.
|
| Contents |
Continuous population models for single species -- Discrete population models for a single species -- Continuous models for interacting populations -- Discrete growth models for interacting populations -- Reaction kinetics -- Biological oscillators and switches -- Belousov-Zhabotinskii reaction -- Perturbed and coupled oscillators and black holes -- Reaction diffusion, chemotaxis and non-local mechanisms -- Oscillator generated wave phenomena and central pattern generators -- Biological waves -- Travelling waves in reaction diffusion systems with weak diffusion -- Spatial pattern formation with reaction/population interaction diffusion mechanisms |
|
Animal coat patterns and other practical applications of reaction diffusion mechanisms -- Neural models of pattern formation -- Mechanical models for generating pattern and form in development -- Evolution and developmental programmes -- Epidemic models and the dynamics of infectious diseases -- Geographic spread of epidemics |
| Summary |
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosciences. The book also shows how mathematics can contribute to the science of the next 100 years and how physical scientists must get involved. It presents a broad view of the field of theoretical and mathematical biology and is a good starting place from which to start genuine interdisciplinary research |
| Bibliography |
Includes bibliographical references (pages 723-743) and index |
| Notes |
Print version record |
| Subject |
Biology -- Mathematical models.
|
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Biology -- Mathematical models
|
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Biologia geral.
|
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Matematica aplicada as ciencias biologicas.
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Biométrie.
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Biomathématiques.
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Modèles biologiques.
|
| Form |
Electronic book
|
| ISBN |
9783662085424 |
|
3662085429 |
|
