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Biological and Medical Physics, Biomedical Engineering

Mathematics for Life Science and Medicine

Editors: Takeuchi, Yasuhiro, Iwasa, Yoh, Sato, Kazunori (Eds.)

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About this book

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.

About the authors

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.

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)


Table of contents (5 chapters)

  • Delayed SIR Epidemic Models for Vector Diseases?

    Yasuhiro Takeuchi, Wanbiao Ma

    Pages 51-65

  • Epidemic Models with Population Dispersal

    Wendi Wang

    Pages 67-95

  • Spatial-Temporal Dynamics in Nonlocal Epidemiological Models

    Shigui Ruan

    Pages 97-122

  • Pathogen Competition and Coexistence and the Evolution of Virulence

    Horst R. Thieme

    Pages 123-153

  • Stability Analysis of a Mathematical Model of the Immune Response with Delays

    Edoardo Beretta, Margherita Carletti, Denise E. Kirschner, Simeone Marino

    Pages 177-206

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-540-34426-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-34425-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-07077-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics for Life Science and Medicine
Editors
  • Yasuhiro Takeuchi
  • Yoh Iwasa
  • Kazunori Sato
Series Title
Biological and Medical Physics, Biomedical Engineering
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-34426-1
DOI
10.1007/978-3-540-34426-1
Hardcover ISBN
978-3-540-34425-4
Softcover ISBN
978-3-642-07077-8
Series ISSN
1618-7210
Edition Number
1
Number of Pages
X, 228
Topics