Mathematics and Biosciences in Interaction Managing Editor Wolfgang Alt Division of Theoretical Biology Botanical Institute 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 (Div. Theoretical Biology, Bonn) Andreas Dress (Center for Interdisciplinary Research for Structure Formation (CIRSF), Bielefeld) 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 important biological fields and relevant methods being developed and refined in close 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.
SINGLE-CELLBASED MODELS IN BIOLOGY AND MEDICINE Alexander R. A. Anderson Mark A. J. Chaplain Katarzyna A. Rejniak Editors
Birkhäuser Basel • Boston
•
Berlin
Editors: Dr. Alexander R.A. Anderson Division of Mathematics University of Dundee 23 Perth Road Dundee DD1 4HN UK
Dr. Katarzyna A. Rejniak Division of Mathematics University of Dundee 23 Perth Road Dundee DD1 4HN UK
Prof. Mark A.J. Chaplain Division of Mathematics University of Dundee 23 Perth Road Dundee DD1 4HN UK
Library of Congress Control Number: 2007923086
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ISBN 978-3-7643-8101-1 Birkhäuser Verlag AG, Basel - Boston - Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2007 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 design: Armando Losa, graphic designer Cover illustration: The cover image is constructed from the 3-D simulation of a growing tumour by Alexander R.A. Anderson, the 2-D simulation of an epithelial acinus by Katarzyna A. Rejniak and from a real picture of an epithelial cell by David Russell, Division of Cell and Developmental Biology, School of Life Sciences, University of Dundee. Printed in Germany ISBN 978-3-7643-8101-1
e-ISBN 978-3-7643-8123-3
987654321
www.birkhauser.ch
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