Cover image for Mathematics for life science and medicine
Title:
Mathematics for life science and medicine
Series:
Biological and medical physics, biomedical engineering
Publication Information:
Berlin : New York : Springer, 2007
ISBN:
9783540344254

9783540344261
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30000010126314 QH323.5 M374 2007 Open Access Book Proceedings, Conference, Workshop etc.
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Summary

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 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.


Author Notes

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.


Table of Contents

Mathematical Studies of Dynamics and Evolution of Infectious Diseases
Basic Knowledge and Developing Tendencies on Epidemic Dynamics
Delayed SIR Epidemic Models for Vector Diseases
Epidemic Models with Population Dispersal
Spatial-Temporal Dynamics in Nonlocal Epidemiological Models
Pathogen Competition and Coexistence and the Evolution of Virulence
Directional Evolution of Virus within a Host under Immune Selection
Stability Analysis of a Mathematical Model of the Immune Response with Delays
Modeling Cancer Treatment Using Competition: A Survey