Applications of Dynamical Systems in Biology and Medicine

This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control.  Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulati

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Trachette Jackson Ami Radunskaya Editors

Applications of Dynamical Systems in Biology and Medicine

The IMA Volumes in Mathematics and its Applications Volume 158

More information about this series at http://www.springer.com/series/811

Institute for Mathematics and its Applications (IMA) The Institute for Mathematics and its Applications was established by a grant from the National Science Foundation to the University of Minnesota in 1982. The primary mission of the IMA is to foster research of a truly interdisciplinary nature, establishing links between mathematics of the highest caliber and important scientific and technological problems from other disciplines and industries. To this end, the IMA organizes a wide variety of programs, ranging from short intense workshops in areas of exceptional interest and opportunity to extensive thematic programs lasting a year. IMA Volumes are used to communicate results of these programs that we believe are of particular value to the broader scientific community. The full list of IMA books can be found at the Web site of the Institute for Mathematics and its Applications: http://www.ima.umn.edu/springer/volumes.html. Presentation materials from the IMA talks are available at http://www.ima.umn.edu/talks/. Video library is at http://www.ima.umn.edu/videos/. Fadil Santosa, Director of the IMA

Trachette Jackson • Ami Radunskaya Editors

Applications of Dynamical Systems in Biology and Medicine

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Editors Trachette Jackson Department of Mathematics University of Michigan Ann Arbor, MI, USA

Ami Radunskaya Department of Mathematics Pomona College Claremont, CA, USA

ISSN 0940-6573 ISSN 2198-3224 (electronic) The IMA Volumes in Mathematics and its Applications ISBN 978-1-4939-2781-4 ISBN 978-1-4939-2782-1 (eBook) DOI 10.1007/978-1-4939-2782-1 Library of Congress Control Number: 2015942581 Mathematics Subject Classification (2010): 92-06, 92Bxx, 92C50, 92D25 Springer New York Heidelberg Dordrecht London © 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. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained