MTU Cork Library Catalogue

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Mathematical biology / J. D. Murray.

By: Murray, J. D. (James Dickson) [author.].
Material type: materialTypeLabelBookSeries: Biomathematics: 19.Publisher: Berlin : Springer-Verlag, [1989]Copyright date: ©1989Description: xiv, 767 pages : illustrations ; 25 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 3540194606 (hardback).Subject(s): Biology -- Mathematical models | BiomathematicsDDC classification: 570.151
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 models -- 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.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 570.151 (Browse shelf(Opens below)) 1 Available 00024752
Total holds: 0

Enhanced descriptions from Syndetics:

Mathematical biology - the use of mathematical ideas and models in the biosciences - is a fast growing, very exciting and increasingly important inderdisciplinary field. This textbook is an account of some of the major techniques and models used and of some genuine practical applications drawn from current areas of research interest in, for example, population ecology, developmental biology, physiology, epidemiology and evolution. It provides the reader with a thorough background, sufficient to start genuine interdisciplinary collaborative reserach with biomedical scientists.

Bibliography: (pages 723-743) and index.

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 models -- 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.

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