Mathematics for Life Sciences and Medicine - Takeuchi Iwasa and Sato.pdf

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biological and medical physics,
biomedical engineering
biological and medical physics,
The fields of biological and medical physics and biomedical engineering are broad, multidisciplinary and
dynamic. They lie at the crossroads of frontier research in physics, biology, chemistry, and medicine. The
Biological and Medical Physics, Biomedical Engineering Series is intended to be comprehensive, covering a
broad range of topics important to the study of the physical, chemical and biological sciences. Its goal is to
provide scientists and engineers with textbooks, monographs, and reference works to address the growing
need for information.
Books in the series emphasize established and emergent areas of science including molecular, membrane,
and mathematical biophysics; photosynthetic energy harvesting and conversion; information processing;
physical principles of genetics; sensory communications; automata networks, neural networks, and cellular
automata. Equally important will be coverage of applied aspects of biological and medical physics and
biomedical engineering such as molecular electronic components and devices, biosensors, medicine, imaging,
physical principles of renewable energy production, advanced prostheses, and environmental control and
engineering.
Editor-in-Chief:
Elias Greenbaum, Oak Ridge National Laboratory,
Oak Ridge, Tennessee, USA
Sol M. Gruner, Department of Physics,
Princeton University, Princeton, New Jersey, USA
Judith Herzfeld, Department of Chemistry,
Brandeis University, Waltham, Massachusetts, USA
Pierre Joliot, Institute de Biologie
Physico-Chimique, Fondation Edmond
de Rothschild, Paris, France
Lajos Keszthelyi, Institute of Biophysics, Hungarian
Academy of Sciences, Szeged, Hungary
Robert S. Knox, Department of Physics
and Astronomy, University of Rochester, Rochester,
New York, USA
Aaron Lewis, Department of Applied Physics,
Hebrew University, Jerusalem, Israel
Stuart M. Lindsay, Department of Physics
and Astronomy, Arizona State University,
Tempe, Arizona, USA
David Mauzerall, Rockefeller University,
New York, New York, USA
Eugenie V. Mielczarek, Department of Physics
and Astronomy, George Mason University, Fairfax,
Virginia, USA
Markolf Niemz, KlinikumMannheim,
Mannheim, Germany
V. Adrian Parsegian, Physical Science Laboratory,
National Institutes of Health, Bethesda,
Maryland, USA
Linda S. Powers, NCDMF: Electrical Engineering,
Utah State University, Logan, Utah, USA
Earl W. Prohofsky, Department of Physics,
Purdue University, West Lafayette, Indiana, USA
Andrew Rubin, Department of Biophysics, Moscow
State University, Moscow, Russia
Michael Seibert, National Renewable Energy
Laboratory, Golden, Colorado, USA
David Thomas, Department of Biochemistry,
University of Minnesota Medical School,
Minneapolis, Minnesota, USA
Samuel J. Williamson, Department of Physics,
New York University, New York, New York, USA
Editorial Board:
Masuo Aizawa, Department of Bioengineering,
Tokyo Institute of Technology, Yokohama, Japan
Olaf S. Andersen, Department of Physiology,
Biophysics & Molecular Medicine,
CornellUniversity,NewYork,USA
Robert H. Austin, Department of Physics,
Princeton University, Princeton, New Jersey, USA
James Barber, Department of Biochemistry,
Imperial College of Science, Technology
and Medicine, London, England
Howard C. Berg, Department of Molecular
and Cellular Biology, Harvard University,
Cambridge, Massachusetts, USA
Victor Bloomf ield, Department of Biochemistry,
University of Minnesota, St. Paul, Minnesota, USA
Robert Callender, Department of Biochemistry,
Albert Einstein College of Medicine,
Bronx, New York, USA
Britton Chance, Department of Biochemistry/
Biophysics, University of Pennsylvania,
Philadelphia, Pennsylvania, USA
Steven Chu, Department of Physics,
Stanford University, Stanford, California, USA
Louis J. DeFelice, Department of Pharmacology,
Vanderbilt University, Nashville, Tennessee, USA
Johann Deisenhofer, Howard Hughes Medical
Institute, The University of Texas, Dallas,
Texas, USA
George Feher, Department of Physics,
University of California, San Diego, La Jolla,
California, USA
Hans Frauenfelder, CNLS, MS B258,
Los Alamos National Laboratory, Los Alamos,
New Mexico, USA
Ivar Giaever, Rensselaer Polytechnic Institute,
Troy, New Yor k , USA
biomedical engineering
Y. Ta ke u c h i Y. Iwa s a K . S a t o ( Ed s . )
Mathematics
for Life Science
and Medicine
With 31 Figures
123
Prof. Yasuhiro Takeuchi
Shizuoka University
Faculty of Engineering
Department of Systems Engineering
Hamamatsu 3-5-1
432-8561 Shizuoka
Japan
email: takeuchi@sys.eng.shizuoka.ac.jp
Prof. Yoh Iwasa
Kyushu Un i ve r s i t y
Department of Biology
812-8581 Fukuoka
Japan
e-mail: yiwasscb@mbox.nc.kyushu-u.ac.jp
Dr. Kazunori Sato
Shizuoka University
Faculty of Engineering
Department of Systems Engineering
Hamamatsu 3-5-1
432-8561 Shizuoka
Japan
email: sato@sys.eng.shizuoka.ac.jp
Library of Congress Cataloging in Publication Data: 2006931400
ISSN 1618-7210
ISBN-10 3-540-34425-X Springer Berlin Heidelberg New York
ISBN-13 978-3-540-34425-4 Springer Berlin Heidelberg New York
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