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Mathematical Biology / by James D. Murray
(Biomathematics. ISSN:21974160 ; 19)

1st ed. 1989.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 1989
本文言語 英語
大きさ XIV, 770 p : online resource
著者標目 *Murray, James D author
SpringerLink (Online service)
件 名 LCSH:Biomathematics
LCSH:Biophysics
LCSH:Biometry
FREE:Mathematical and Computational Biology
FREE:Biophysics
FREE:Biostatistics
一般注記 1. Continuous Population Models for Single Species -- 2. Discrete Population Models for a Single Species -- 3. Continuous Models for Interacting Populations -- 4. Discrete Growth Models for Interacting Populations -- 5. Reaction Kinetics -- 6. Biological Oscillators and Switches -- 7. Belousov-Zhabotinskii Reaction -- 8. Perturbed and Coupled Oscillators and Black Holes -- 9. Reaction Diffusion, Chemotaxis and Non-local Mechanisms -- 10. Oscillator Generated Wave Phenomena and Central Pattern Generators -- 11. Biological Waves: Single Species Models -- 12. Biological Waves: Multi-species Reaction Diffusion Models -- *13. Travelling Waves in Reaction Diffusion Systems with Weak Diffusion: Analytical Techniques and Results -- 14. Spatial Pattern Formation with Reaction/Population Interaction Diffusion Mechanisms -- 15. Animal Coat Patterns and Other Practical Applications of Reaction Diffusion Mechanisms -- 16. Neural Models of Pattern Formation -- 17. Mechanical Models for Generating Pattern and Form in Development -- 18. Evolution and Developmental Programmes -- 19. Epidemic Models and the Dynamics of Infectious Diseases -- 20. Geographic Spread of Epidemics -- Appendices -- 1. Phase Plane Analysis -- 2. Routh-Hurwitz Conditions, Jury Conditions, Descarte’s Rule of Signs and Exact Solutions of a Cubic -- 3. Hopf Bifurcation Theorem and Limit Cycles -- 4. General Results for the Laplacian Operator in Bounded Domains
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
HTTP:URL=https://doi.org/10.1007/978-3-662-08539-4
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Springer eBooks 9783662085394
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データ種別 電子ブック
分 類 LCC:QH323.5
LCC:QH324.2-324.25
DC23:570,285
書誌ID 4000110723
ISBN 9783662085394

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