Aspects of Mathematical Modelling: Applications in Science, Medicine, Economics and Management

Mathematics and Biosciences in Interaction Managing Editor Wolfgang Alt Division of Theoretical Biology Institute of Molecular and Cellular Botanics University of Bonn Kirschallee 1 D-53115 Bonn e-mail: [email protected]

Editorial Board Fred Adler (Dept. Mathematics, Salt Lake City) Mark Chaplain (Dept. Math. & Computer Sciences, Dundee) Andreas Deutsch (Center for Information Services and High Performance Computing (ZIH), Dresden) Andreas Dress (Shanghai Institutes for Biological Sciences, Shanghai, and Max Planck Institute for Mathematics in the Sciences, Leipzig) David Krakauer (Dept. of Zoology, Oxford) Robert T. Tranquillo (Dept. Chem. Engineering, Minneapolis)

Mathematics and Biosciences in Interaction is devoted to the publication of advanced textbooks, monographs, and multi-authored volumes on mathematical concepts in the biological sciences. It concentrates on truly interdisciplinary research presenting currently LPSRUWDQWELRORJLFDO½HOGVDQGUHOHYDQWPHWKRGVEHLQJGHYHORSHGDQGUH½QHGLQFORVH relation to problems and results relevant for experimental bioscientists. The series aims at publishing not only monographs by individual authors presenting their own results, but welcomes, in particular, volumes arising from collaborations, joint research programs or workshops. These can feature concepts and open problems as a result of such collaborative work, possibly illustrated with computer software providing statistical analyses, simulations or visualizations. The envisaged readership includes researchers and advanced students in applied mathematics – numerical analysis as well as statistics, genetics, cell biology, neurobiology, bioinformatics, biophysics, bio(medical) engineering, biotechnology, evolution and behavioral sciences, theoretical biology, system theory.

Aspects of Mathematical Modelling Applications in Science, Medicine, Economics and Management Roger J. Hosking Ezio Venturino Editors

Birkhäuser Basel · Boston · Berlin

Editors: Roger J. Hosking Universiti Brunei Darussalam Dept. Mathematics BE1410 Gadong Brunei

Ezio Venturino Università di Torino Dipto. Matematica Via Carlo Alberto 10 10123 Torino Italy

Library of Congress Control Number: 2007935882

Bibliographic information published by Die Deutsche Bibliothek 'LH'HXWVFKH%LEOLRWKHNOLVWVWKLVSXEOLFDWLRQLQWKH'HXWVFKH1DWLRQDOELEOLRJUD½H detailed bibliographic data is available in the Internet at . 7KHXVHRIUHJLVWHUHGQDPHVWUDGHPDUNVHWFLQWKLVSXEOLFDWLRQHYHQLIQRWLGHQWL½HG as such, does not imply that they are exempt from the relevant protective laws and regulations or free for general use.

ISBN 978-3-7643-8590-3 Birkhäuser Verlag AG, Basel - Boston - Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of WKHPDWHULDOLVFRQFHUQHGVSHFL½FDOO\WKHULJKWVRIWUDQVODWLRQUHSULQWLQJUHXVHRI LOOXVWUDWLRQVUHFLWDWLRQEURDGFDVWLQJUHSURGXFWLRQRQPLFUR½OPVRULQRWKHUZD\VDQG storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG, P.O. Box 133, CH-4001 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TFC ’ Cover illustration: See page 73. With the friendly permission of Q.J.A. Khan Printed in Germany ISBN 978-3-7643-8590-3

e-ISBN 978-3-7643-8591-0

987654321

www.birkhauser.ch


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