Mathematical Modelling and Biomechanics of the Brain
This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathema
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Corina Drapaca Siv Sivaloganathan
Mathematical Modelling and Biomechanics of the Brain
Fields Institute Monographs VOLUME 37 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Ian Hambleton, Director Huaxiong Huang, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University Juris Steprans, York University
The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Queen’s, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.
More information about this series at http://www.springer.com/series/10502
Corina Drapaca • Siv Sivaloganathan
Mathematical Modelling and Biomechanics of the Brain
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Corina Drapaca College of Engineering Penn State University University Park, PA, USA
Siv Sivaloganathan Department of Applied Mathematics University of Waterloo Waterloo, ON, Canada
ISSN 1069-5273 ISSN 2194-3079 (electronic) Fields Institute Monographs ISBN 978-1-4939-9809-8 ISBN 978-1-4939-9810-4 (eBook) https://doi.org/10.1007/978-1-4939-9810-4 Mathematics Subject Classification (2010): 92C10, 74L15, 74Fxx, 78A70, 92C50, 76Z05, 92C05, 35Q35, 35Q72 © Springer Science+Business Media, LLC, part of Springer Nature 2019 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. The publisher remains neutral with regard to jurisdi
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