A Quest Towards a Mathematical Theory of Living Systems
This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things. Drawing on twenty years of research in various scientific field
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Nicola Bellomo Abdelghani Bellouquid Livio Gibelli Nisrine Outada
A Quest Towards a Mathematical Theory of Living Systems
Modeling and Simulation in Science, Engineering and Technology Series Editors Nicola Bellomo Department of Mathematics Faculty of Sciences King Abdulaziz University Jeddah, Saudi Arabia
Tayfun E. Tezduyar Department of Mechanical Engineering Rice University Houston, TX, USA
Editorial Advisory Board K. Aoki National Taiwan University Taipei, Taiwan K.J. Bathe Department of Mechanical Engineering Massachusetts Institute of Technology Cambridge, MA, USA Y. Bazilevs Department of Structural Engineering University of California, San Diego La Jolla, CA, USA M. Chaplain Division of Mathematics University of Dundee Dundee, Scotland, UK P. Degond Department of Mathematics Imperial College London London, UK A. Deutsch Center for Information Services and High-Performance Computing Technische Universität Dresden Dresden, Germany
M.A. Herrero Departamento de Matematica Aplicada Universidad Complutense de Madrid Madrid, Spain P. Koumoutsakos Computational Science & Engineering Laboratory, ETH Zürich Zürich, Switzerland H.G. Othmer Department of Mathematics University of Minnesota Minneapolis, MN, USA K.R. Rajagopal Department of Mechanical Engineering Texas A&M University College Station, TX, USA K. Takizawa Department of Modern Mechanical Engineering Waseda University Tokyo, Japan Y. Tao Dong Hua University Shanghai, China
More information about this series at http://www.springer.com/series/4960
Nicola Bellomo Abdelghani Bellouquid Livio Gibelli Nisrine Outada •
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A Quest Towards a Mathematical Theory of Living Systems
Nicola Bellomo Department of Mathematics, Faculty of Sciences King Abdulaziz University Jeddah Saudi Arabia and Department of Mathematical Sciences (DISMA) Politecnico di Torino Turin Italy
Livio Gibelli School of Engineering University of Warwick Coventry UK Nisrine Outada Mathematics and Population Dynamics Laboratory, UMMISCO, Faculty of Sciences of Semlalia of Marrakech Cadi Ayyad University Marrakech Morocco and
Abdelghani Bellouquid
Ecole Nationale des Sciences Appliquées de Marrakech Académie Hassan II Des Sciences Et Techniques, Cadi Ayyad Unviersity Marrakech Morocco
Jacques-Louis Lions Laboratory Pierre et Marie Curie University Paris 6 France
ISSN 2164-3679 ISSN 2164-3725 (electronic) Modeling and Simulation in Science, Engineering and Technology ISBN 978-3-319-57435-6 ISBN 978-3-319-57436-3 (eBook) DOI 10.1007/978-3-319-57436-3 Library of Congress Control Number: 2017941474 Mathematics Subject Classification (2010): 35Q20, 35Q82, 35Q91, 35Q92, 91C99 © Springer International Publishing AG 2017 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 so
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