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Cover Art
Author Murray, J. D. (James Dickson)

Title Mathematical biology [electronic resource] / J.D. Murray.

Published New York : Springer, c2002-


Location Call No. Status
Edition 3rd ed.
Physical description 1 online resource.
Series Interdisciplinary applied mathematics ; v. 17
Interdisciplinary applied mathematics ; v. 17.
Bibliography Includes bibliographical references and index.
Contents Cover -- Table of Contents -- 1. Continuous Population Models for Single Species -- 2. Discrete Population Models for a Single Species -- 3. Models for Interacting Populations -- 4. Temperature-Dependent Sex Determination (TSD): Crocodilian Survivorship -- 5. Modelling the Dynamics of Marital Interaction: Divorce Prediction and Marriage Repair -- 6. Reaction Kinetics -- 7. Biological Oscillators and Switches -- 8. BZ Oscillating Reactions -- 9. Perturbed and Coupled Oscillators and Black Holes -- 10. Dynamics of Infectious Diseases: Epidemic Models and AIDS -- 11. Reaction Diffusion, Chemotaxis, and Nonlocal Mechanisms -- 12. Oscillator-Generated Wave Phenomena and Central Pattern Generators -- 13. BiologicalWaves: Single-Species Models -- 14. Use and Abuse of Fractals -- Appendix A. Phase Plane Analysis -- Appendix B. Routh-Hurwitz Conditions, Jury Conditions, Descartes' Rule of Signs and Exact Solutions of a Cubic -- Bibliography.
Summary It has been over a decade since the release first edition of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology and medicine 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 which arise in the biomedical sciences and gives some indication of the wide spectrum of questions that modelling can address. Due to the tremendous development in recent years, this new edition is being published in two volumes. This second volume covers spatial models and biomedical applications. For this new edition, Murray covers certain items in depth, introducing new applications such as modelling growth and control of brain tumours, bacterial patterns, wound healing and wolf territoriality. 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. Graduate students and researchers will find this book invaluable as it gives an excellent background from which to begin genuinely practical interdisciplinary research in the biomedical sciences.
System notes Mode of access: Internet.
Notes Description based on print version record.
Subject Biology -- Mathematical models.
Biology -- Mathematical models.
Electronic books.
ISBN 0387952233 (cloth)
9780387952239 (cloth)
9780387224381 (electronic bk.)
0387224386 (electronic bk.)