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Title Mathematics for life science and medicine / Y. Takeuchi, Y. Iwasa, K. Sato (eds.)
Published Berlin ; New York : Springer, ©2007

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Description 1 online resource (x, 227 pages) : illustrations
Series Biological and medical physics, biomedical engineering, 1618-7210
Biological and medical physics, biomedical engineering. 1618-7210
Contents Mathematical studies of dynamics and evolution of infectious diseases / Yoh Iwasa, Kazunori Sato, Yasuhiro Takeuchi -- Basic knowledge and developing tendencies in epidemic dynamics / Zhien Ma, Jianquan Li -- Delayed SIR epidemic models for vector diseases / Yasuhiro Takeuchi, Wanbiao Ma -- Epidemic models with population dispersal / Wendi Wang -- Spatial-temporal dynamics in nonlocal epidemiological models / Shigui Ruan -- Pathogen competition and coexistence and the evolution of virulence / Horst R. Thieme -- Directional evolution of virus within a host under immune selection / Yoh Iwasa, Franziska Michor, Martin Nowak -- Stability analysis of a mathematical model of the immune response with delays / Edoardo Beretta [and others] -- Modeling cancer treatment using competition : a survey / H.I. Freedman
Summary Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine
Bibliography Includes bibliographical references and index
Notes English
In Springer eBooks
Subject Biomathematics.
Population biology -- Mathematics
Medicine -- Mathematics.
Molecular evolution.
Mathematics.
Biological models.
System theory.
Biomathematics -- Congresses
Population biology -- Mathematics -- Congresses
Medicine -- Mathematics -- Congresses
Communicable Diseases -- epidemiology
Evolution, Molecular
Mathematics
Models, Biological
Systems Theory
NATURE -- Reference.
SCIENCE -- Life Sciences -- General.
SCIENCE -- Life Sciences -- Biology.
Population biology -- Mathematics.
Medicine -- Mathematics.
Communicable Diseases -- epidemiology.
Evolution, Molecular.
Mathematics.
Models, Biological.
Systems theory.
Biomathematics.
System theory
Molecular evolution
Mathematics
Biological models
Biomathematics
Medicine -- Mathematics
Population biology -- Mathematics
Genre/Form Conference papers and proceedings
Form Electronic book
Author Takeuchi, Yasuhiro, 1951-
Iwasa, Yō
Sato, K. (Kazunori), 1963-
International Symposium on Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences (2004 : Hamamatsu-shi, Japan)
ISBN 9783540344254
354034425X
9783540344261
3540344268
6610744181
9786610744183