Branching Processes in Biology
This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered in
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Series Editors Stuart Antman College Park, Maryland, USA Leslie Greengard Department of Mathematics, New York University Courant Institute, New York, USA Philip Holmes Princeton, New Jersey, USA Leon Glass McGill University Dept. Physiology, Montreal, Québec, Canada Robert Kohn Department of Mathematics, Courant Institute Courant Inst. Mathematical Sciences, Kohn, New York, USA P. S. Krishnaprasad Dept. Biology, University of Maryland Inst. Systems Research, College Park, Maryland, USA James D. Murray University of Washington Dept. Applied Mathematics, Seattle, Washington, USA Shankar Sastry Institute of Transportation Studies, University of California, Berkeley Dept. Civil & Environmental Engineering, Berkeley, California, USA
Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, as well as point towards new and innovative areas of applications; and secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods as well as to suggest innovative developments within mathematics itself. The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.
More information about this series at http://www.springer.com/series/1390
Marek Kimmel • David E. Axelrod
Branching Processes in Biology Volume 19
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Marek Kimmel Department of Statistics Rice University Houston Texas USA
David E. Axelrod Department of Genetics Rutgers University Piscataway New Jersey USA
Mathematics Subject Classification: 91B70, 92CXX, 92C37, 92DXX, 92D10, 92D15, 92D20, 92D25, 93C95, 60J80, 60J85 ISSN 0939-6047 ISSN 2196-9973 (electronic) ISBN 978-1-4939-1558-3 ISBN 978-1-4939-1559-0 (eBook) DOI 10.1007/978-1-4939-1559-0 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014948195 © Springer Science+Business Media, LLC 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief e
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