Mathematics for Life Science and Medicine / Edition 1

by Yasuhiro Takeuchi, Yoh Iwasa, Kazunori Sato

Overview

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.

Product Details

ISBN-13:	9783540344254
Publisher:	Springer Berlin Heidelberg
Publication date:	01/24/2007
Series:	Biological and Medical Physics, Biomedical Engineering
Edition description:	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.

Editorial Reviews

From the reviews:

"This volume, with an introduction and nine papers, focuses on infectious disease dynamics and the evolution of pathogens. … The papers in this volume provide a taste of the subject matter and a means of entry into this field of mathematical biology. Most of the material is accessible to non-specialists and the applications are of real value. The mathematical prerequisites are modest and include basic knowledge of systems of differential equations. The book is … most appropriate for departmental or library collections." (Bill Satzer, MathDL, May, 2007)

From the Publisher