Killer Cell Dynamics Mathematical and Computational Approaches to Im

This book reviews how mathematics can be used in combination with biological data in order to improve understanding of how the immune system works. This is illustrated largely in the context of viral infections. Mathematical models allow scientists to cap

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J.E. Marsden

L. Sirovich

Geophysics and Planetary Sciences Imaging, Vision, and Graphics Mathematical Biology L. Glass, J.D. Murray Mechanics and Materials R.V. Kohn Systems and Control S.S. Sastry, P.S. Krishnaprasad

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 toward 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 and 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.

Interdisciplinary Applied Mathematics Volumes published are listed at the end of the book.

Dominik Wodarz

Killer Cell Dynamics Mathematical and Computational Approaches to Immunology

Dominik Wodarz Department of Ecology and Evolution University of California 321 Steinhaus Hall, Mail Code 2525 Irvine, CA 92697-2525 USA [email protected] Editors S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742 USA [email protected]

J.E. Marsden Control and Dynamical Systems Mail Code 107-81 California Institute of Technology Padadena, CA 91125 USA [email protected]

L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]

Cover illustration: The Killing, painting by Natalia Komarova Mathematics Subject Classification (2000): 37N25, 46N60, 62P10, 92-xx, 92Bxx, 92B05 Library of Congress Control Number: 2006931001 ISBN-10: 0-387-30893-8 ISBN-13: 978-0-387-30893-7 Printed on acid-free paper. © 2007 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of