Mathematics for Life Science and Medicine

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Yasuhiro Takeuchi, Yoh Iwasa, Kazunori Sato
Springer Science & Business Media, Jan 25, 2007 - Mathematics - 228 pages

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 model, 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.

 

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Contents

Mathematical Studies of Dynamics and Evolution of Infectious Diseases
1
Basic Knowledge and Developing Tendencies in Epidemic Dynamics
5
Delayed SIR Epidemic Models for Vector Diseases
50
Epidemic Models with Population Dispersal
67
SpatialTemporal Dynamics in Nonlocal Epidemiological Models
96
Pathogen Competition and Coexistence and the Evolution of Virulence
123
Directional Evolution of Virus Within a Host Under Immune Selection
155
Stability Analysis of a Mathematical Model of the Immune Response with Delays
177
Modeling Cancer Treatment Using Competition A Survey
207
Index
224
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About the author (2007)

Y.Takeuchi is a professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1979. He received his B.Eng.(1974), M.Eng.(1976) and Ph.D.(1979) at Kyoto University. In 1986, 1992, 1998, 2000 and 2002, Dr. Takeuchi was a visiting professor at Universita di Urbino, and in 1987-1988, at University of Alberta.

Y. Iwasa is a professor of Department of Biology, Faculty of Sciences, Kyushu University, Japan, where he has been on the faculty since 1985. He received his B.S.(1975), M.Eng.(1977) and Ph.D.(1980) at Kyoto University. In 2003 and 2004, Dr. Iwasa was a visiting professor at Harvard University, and in 2002-2003 a member of Institute of Advanced Study, Princeton.

K. Sato is an associate professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1996. He received his B.Sci.(1988) at University of Tsukuba, M.Sci.(1990) and Ph.D.(1993) at Kyushu University. From 1994 to 1996, Dr. Sato was a lecturer and an associate professor at Muroran Institute of Technology.

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