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Mathematical biology 1: an introduction/ James D. Murray

By: Murray, James DSeries: (Interdisciplinary applied mathematics) ; v. 17Publication details: London: Springer, 2002Edition: 3rd edDescription: xiii, 551 p. : ill. ; 24 cmISBN: 9781475777093Subject(s): Biology--Mathematical models | Biomathematics | Biomedical engineeringDDC classification: 570.15118

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: single species model -- Biological waves: multi-species reaction diffusion models -- Travelling waves in reaction diffusion systems with weak diffusion: analytical techniques and results -- 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 -- Appendix 1. Phase plane analysis -- Appendix 2. Routh-Hurwitz conditions, jury conditions, Descarte's rule of signs and Exact solutions of a cubic -- Appendix 3. Hopf bifurcation theorem and limit cycles -- Appendix 4. General results for the Laplacian Operator in bounded domains.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	570.15118 MUR/M (Browse shelf(Opens below))	Available		49783

Total holds: 0

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: single species model --
Biological waves: multi-species reaction diffusion models --
Travelling waves in reaction diffusion systems with weak diffusion: analytical techniques and results --
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 --
Appendix 1. Phase plane analysis --
Appendix 2. Routh-Hurwitz conditions, jury conditions, Descarte's rule of signs and Exact solutions of a cubic --
Appendix 3. Hopf bifurcation theorem and limit cycles --
Appendix 4. General results for the Laplacian Operator in bounded domains.

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