Saturable Fractal Pharmacokinetics and Its Applications
In this chapter we discuss an application of fractal kinetics under steady state conditions to model the enzymatic elimination of a drug from the body. A one-compartment model following fractal Michaelis–Menten kinetics under a steady state is developed a
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Urszula Ledzewicz • Heinz Sch¨attler Avner Friedman • Eugene Kashdan Editors
Mathematical Methods and Models in Biomedicine
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Editors Urszula Ledzewicz Southern Illinois University Department of Mathematics and Statistics Edwardsville, IL 62026 USA Avner Friedman Ohio State University Mathematical Biosciences Institute 100 Mathematics Bldg. 231W. 18th Avenue Columbus, OH 43210-1292 USA
Heinz Sch¨attler Washington University Department of Electrical and Systems Engineering St. Louis, MO 63130 USA Eugene Kashdan Tel Aviv University Ramat Aviv 69978 Tel Aviv Israel
ISSN 2193-4789 ISSN 2193-4797 (electronic) ISBN 978-1-4614-4177-9 ISBN 978-1-4614-4178-6 (eBook) DOI 10.1007/978-1-4614-4178-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012945002 Mathematics Subject Classification: 92C30, 92C45, 92C50, 92D25, 92D30 © Springer Science+Business Media New York 2013 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)
Preface
Mathematical biomedicine is a fast developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the challenges raised by biology and medicine. Biomedical research covers such diverse areas as t
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