Hyperbolic and Kinetic Models for Self-organised Biological Aggregations
This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecol
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Raluca Eftimie
Hyperbolic and Kinetic Models for Self-organised Biological Aggregations A Modelling and Pattern Formation Approach
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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In recent years, the role of mathematics in the life sciences has evolved a long way from the role it played in the 1970’s, in the early days of “biomathematics”, and is a somewhat different one now, and its perception by the mathematical community is also different. We feel it is important for the Lecture Notes in Mathematics to reflect this and thus underline the immense significance of the life sciences as a field of application and interaction for mathematics in the 21st century. We are particularly interested in going far beyond the traditional areas in which mathematics was applied to ecology, such as population dynamics, and would like to attract publications in areas such as cell growth, protein structures, physiology, vision, shape recognition & gestalt theory, neural dynamics, genomics, perhaps also some statistical aspects (this list is non-exhaustive).
More information about this series at http://www.springer.com/series/304
Raluca Eftimie
Hyperbolic and Kinetic Models for Self-organised Biological Aggregations A Modelling and Pattern Formation Approach
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Raluca Eftimie Division of Mathematics University of Dundee Dundee, UK
ISSN 0075-8434 Lecture Notes in Mathematics ISSN 2524-6771 Mathematical Biosciences Subseries ISBN 978-3-030-02585-4 https://doi.org/10.1007/978-3-030-02586-1
ISSN 1617-9692 (electronic) ISSN 2524-678X (electronic) ISBN 978-3-030-02586-1 (eBook)
Library of Congress Control Number: 2018963056 Mathematics Subject Classification (2010): 92-01, 92-02, 92C15, 92D50, 35C07, 35Lxx, 35Q20, 35Q92, 35R09, 35R60, 37G40, 58J55, 65Nxx © Springer Nature Switzerland AG 2018 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
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