Tutorials in Mathematical Biosciences IV Evolution and Ecology
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational
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Lecture Notes in Mathematics
Avner Friedman (Ed.)
Tutorials in Mathematical Biosciences IV Evolution and Ecology
Mathematical Biosciences Subseries
1922
tutorials
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Editors Mathematical Biosciences Subseries: P.K. Maini, Oxford
1922
Avner Friedman (Ed.)
Tutorials in Mathematical Biosciences IV Evolution and Ecology
With Contributions by: C. Cosner · D. Janies · L.S. Kubatko Y. Lou · T. Nagylaki
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Editor Avner Friedman Mathematical Biosciences Institute Ohio State University 231 West 18th Avenue Columbus, OH 43210-1292 USA e-mail: [email protected] [email protected]
Library of Congress Control Number: 2007933684 Mathematics Subject Classification (2000): 35J20, 35J60, 35K55, 35K57, 62P10, 62P12, 92B99, 92D10, 92D15, 92D25, 92D40
ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 ISBN 978-3-540-74328-6 Springer Berlin Heidelberg New York DOI 10.1007/978-3-540-74331-6 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2008 ° The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting by the author and SPi using a Springer LATEX macro package Cover design: design & production GmbH, Heidelberg Printed on acid-free paper
SPIN: 12109630
41/SPi
543210
Preface
This is the fourth volume in the series “Tutorials in Mathematical Biosciences.” These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University. The aim of this series is to introduce graduate students and researchers with just a little background in either mathematics or biology to mathematical modeling of biological processes. The first volume was devoted to mathematical neuroscience, which was the focus of the MBI program 2002–2003. The second volume dealt with mathematical modeling of calcium dynamics in signal transduction, the focus of the MBI program in the winter of 2004. The third volume dealt with topics of cell cycle, tumor growth, and cancer therapy; these topics featured in several workshops held at the MBI in the fall of 200
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