Mathematical and Numerical Modeling of the Cardiovascular System and Applications

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the

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thematical and Numerical Modeling of the Cardiovascular System and Applications

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SEMA SIMAI Springer Series Series Editors: Luca Formaggia • Pablo Pedregal (Editor-in-Chief) Mats G. Larson • Tere Martínez-Seara Alonso • Carlos Parés • Lorenzo Pareschi • Andrea Tosin • Elena Vazquez • Jorge P. Zubelli • Paolo Zunino Volume 16

More information about this series at http://www.springer.com/series/10532

Daniele Boffi • Luca F. Pavarino • Gianluigi Rozza • Simone Scacchi • Christian Vergara Editors

Mathematical and Numerical Modeling of the Cardiovascular System and Applications

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Editors Daniele Boffi Department of Mathematics “F. Casorati” University of Pavia Pavia, Italy

Luca F. Pavarino Department of Mathematics “F. Casorati” University of Pavia Pavia, Italy

Gianluigi Rozza SISSA mathLab, Mathematics Area International School for Advanced Studies Trieste, Italy

Simone Scacchi Department of Mathematics University of Milan Milano, Italy

Christian Vergara Department of Mathematics Politecnico di Milano Milano, Italy

ISSN 2199-3041 ISSN 2199-305X (electronic) SEMA SIMAI Springer Series ISBN 978-3-319-96648-9 ISBN 978-3-319-96649-6 (eBook) https://doi.org/10.1007/978-3-319-96649-6 Library of Congress Control Number: 2018952632 © 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 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 jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This book is dedicated to the outstanding career of Piero Colli Franzone, one of the founders of the field of computational electrocardiology. Piero graduated in mathematics from the University of Pavia in 1969. He subsequently became a researcher at the Institute of Numerical Analysis of the National Research Council (CNR) in Pavia (1971–1973), Associated Profes