Hemomath The Mathematics of Blood
This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each top
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Antonio Fasano · Adélia Sequeira
Hemomath The Mathematics of Blood
MS&A Volume 18
Editor-in-Chief Alfio Quarteroni Series Editors Tom Hou Claude Le Bris Anthony T. Patera Enrique Zuazua
More information about this series at http://www.springer.com/series/8377
Antonio Fasano • Adélia Sequeira
Hemomath The Mathematics of Blood
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Antonio Fasano Fabbrica Italiana Apparecchi Biomedicali (FIAB) UniversitJa degli Studi di Firenze Firenze, Italy
Adélia Sequeira Instituto Superior Técnico Universidade de Lisboa Lisboa, Portugal
ISSN 2037-5255 ISSN 2037-5263 (electronic) MS&A - Modeling, Simulation & Applications ISBN 978-3-319-60512-8 ISBN 978-3-319-60513-5 (eBook) DOI 10.1007/978-3-319-60513-5 Library of Congress Control Number: 2017951447 © 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 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. Cover illustration: The Copyright is with Stanislava Novotny Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Will all great Neptune’s ocean wash this blood clean from my hand? (Macbeth, William Shakespeare, Act 2, Scene 2, 1605-6).
Preface
Medicine is a fascinating field whose progress has been exponentially accelerated from the moment it met technology. Mathematics, along with physics and chemistry, participates in such an exciting experience, which actually started long ago.1 In the present book we focused our attention on one of the most intriguing branches of medicine: hematology. Blood has an extremely complex behavior at all scales. It is complicated as a fluid (to the point that many different, often mutually contrasting, rheological models have been proposed), it contains very smart cells, able to perform a huge number of operations, and it carri
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