Mathematical Models and Methods for Living Systems Levico Terme, Ita

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurrin

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Pasquale Ciarletta · Thomas Hillen Hans Othmer · Luigi Preziosi Dumitru Trucu

Mathematical Models and Methods for Living Systems Levico Terme, Italy 2014 Luigi Preziosi · Mark Chaplain Andrea Pugliese Editors

Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zürich Mario di Bernardo, Bristol Michel Brion, Grenoble Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg

More information about this series at http://www.springer.com/series/#304

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Pasquale Ciarletta • Thomas Hillen • Hans Othmer • Luigi Preziosi • Dumitru Trucu

Mathematical Models and Methods for Living Systems Levico Terme, Italy 2014 Luigi Preziosi • Mark Chaplain • Andrea Pugliese Editors

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Authors Pasquale Ciarletta Politecnico di Milano Dip. Matematica Milano, Italy

Thomas Hillen Mathematical & Statistical Sciences University of Alberta Edmonton Alberta, Canada Luigi Preziosi Mathematical Sciences Politecnico di Torino Torino, Italy

Hans Othmer School of Mathematics University of Minnesota Minneapolis Minnesota, USA Dumitru Trucu Dept. of Mathematics University of Dundee Dundee, United Kingdom Editors Luigi Preziosi Mathematical Sciences Politecnico di Torino Torino, Italy

Mark Chaplain School of Mathematics and Statistics University of St. Andrews St. Andrews, United Kingdom

Andrea Pugliese Department of Mathematics UniversitJa di Trento Povo, Italy ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-42678-5 DOI 10.1007/978-3-319-42679-2

ISSN 1617-9692 (electronic) ISBN 978-3-319-42679-2 (eBook)

Library of Congress Control Number: 2016950724 Mathematics Subject Classification (2010): 92Cxx © Springer International Publishing Switzerland 2016 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 herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The register