Mathematical Modeling in Renal Physiology
This comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney physiology, including clinical data analysis and practice exercises. Basic concepts and modeling techniques introduced in th
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Anita T. Layton Aurélie Edwards
Mathematical Modeling in Renal Physiology
Lecture Notes on Mathematical Modelling in the Life Sciences Series Editors Angela Stevens Michael C. Mackey
For further volumes: http://www.springer.com/series/10049
Anita T. Layton • Aurélie Edwards
Mathematical Modeling in Renal Physiology
123
Anita T. Layton Department of Mathematics Duke University Durham, North Carolina USA
Aurélie Edwards Centre de Recherche des Cordeliers ERL 8228, UMRS 1138 Equipe 3 Paris, France
ISSN 2193-4789 ISSN 2193-4797 (electronic) ISBN 978-3-642-27366-7 ISBN 978-3-642-27367-4 (eBook) DOI 10.1007/978-3-642-27367-4 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2014945102 © Springer-Verlag Berlin Heidelberg 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents
1 Introduction: Basics of Kidney Physiology .. . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Basic Kidney Anatomy and Blood Supply . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.2 The Nephron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.3 Further Reading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . .
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