The Mathematics of Mechanobiology Cetraro, Italy 2018

This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of

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Antonio DeSimone · Benoît Perthame  Alfio Quarteroni · Lev Truskinovsky

The Mathematics of Mechanobiology Cetraro, Italy 2018 Davide Ambrosi · Pasquale Ciarletta Editors

Lecture Notes in Mathematics C.I.M.E. Foundation Subseries Volume 2260

Editors-in-Chief Jean-Michel Morel, CMLA, ENS, Cachan, France Bernard Teissier, IMJ-PRG, Paris, France Series Editors Karin Baur, University of Leeds, Leeds, UK Michel Brion, UGA, Grenoble, France Camillo De Lellis, IAS, Princeton, NJ, USA Alessio Figalli, ETH Zurich, Zurich, Switzerland Annette Huber, Albert Ludwig University, Freiburg, Germany Davar Khoshnevisan, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, University of Cambridge, Cambridge, UK Angela Kunoth, University of Cologne, Cologne, Germany Ariane Mézard, IMJ-PRG, Paris, France Mark Podolskij, Aarhus University, Aarhus, Denmark Sylvia Serfaty, NYU Courant, New York, NY, USA Gabriele Vezzosi, UniFI, Florence, Italy Anna Wienhard, Ruprecht Karl University, Heidelberg, Germany

More information about this subseries at http://www.springer.com/series/3114

Antonio DeSimone • Benoˆıt Perthame • Alfio Quarteroni • Lev Truskinovsky

The Mathematics of Mechanobiology Cetraro, Italy 2018 Davide Ambrosi • Pasquale Ciarletta Editors

Authors Antonio DeSimone The BioRobotics Institute Sant’Anna School of Advanced Studies Pisa, Italy SISSA-MathLab International School for Advanced Studies Trieste, Italy Alfio Quarteroni MOX Mathematics Department Politecnico di Milano Italy

Benoˆıt Perthame CNRS, Sorbonne Université Inria, Université de Paris Laboratoire Jacques-Louis Lions Paris, France

Lev Truskinovsky ESPCI PMMH CNRS – UMR 7636 PSL-ESPCI Paris, France

Institute of Mathematics École Polytechnique Fédérale de Lausanne Lausanne, Switzerland Editors Davide Ambrosi Department of Mathematical Sciences Polytechnic University of Turin Torino, Italy

Pasquale Ciarletta MOX, Dipartimento Di Matematica Polytechnic University of Milan Milano, Italy

ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics C.I.M.E. Foundation Subseries ISBN 978-3-030-45196-7 ISBN 978-3-030-45197-4 (eBook) https://doi.org/10.1007/978-3-030-45197-4 Mathematics Subject Classification: 35Q92, 65M60, 70Q05, 92B05, 92C10 © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed 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 relev