ISBN-10:
3642070779
ISBN-13:
9783642070778
Pub. Date:
10/27/2010
Publisher:
Springer Berlin Heidelberg
Mathematics for Life Science and Medicine / Edition 1

Mathematics for Life Science and Medicine / Edition 1

by Yasuhiro Takeuchi, Yoh Iwasa, Kazunori Sato

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Overview

Mathematics for Life Science and Medicine / Edition 1

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. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. 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.

Product Details

ISBN-13: 9783642070778
Publisher: Springer Berlin Heidelberg
Publication date: 10/27/2010
Series: Biological and Medical Physics, Biomedical Engineering
Edition description: Softcover reprint of hardcover 1st ed. 2007
Pages: 228
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

About the Author

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 in 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.

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