Optimal Control for Mathematical Models of Cancer Therapies An Appli
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems w
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Heinz Schättler Urszula Ledzewicz
Optimal Control for Mathematical Models of Cancer Therapies An Application of Geometric Methods
Optimal Control for Mathematical Models of Cancer Therapies
Interdisciplinary Applied Mathematics Editors S.S. Antman L. Greengard P. Holmes
Series Advisors Leon Glass Robert Kohn P.S. Krishnaprasad James D. Murray Shankar Sastry James Sneyd
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 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.
More information about this series at http://www.springer.com/series/1390
Heinz Sch¨attler • Urszula Ledzewicz
Optimal Control for Mathematical Models of Cancer Therapies An Application of Geometric Methods
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Heinz Sch¨attler Electrical and Systems Engineering Washington University St. Louis, MO, USA
Urszula Ledzewicz Mathematics and Statistics Southern Illinois University Edwardsville Edwardsville, IL, USA
ISSN 0939-6047 ISSN 2196-9973 (electronic) Interdisciplinary Applied Mathematics ISBN 978-1-4939-2971-9 ISBN 978-1-4939-2972-6 (eBook) DOI 10.1007/978-1-4939-2972-6 Library of Congress Control Number: 2015944982 Mathematics Subject Classification (2010): 49K15, 92C50 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 saf
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