Complexity, Analysis and Control of Singular Biological Systems
Complexity, Analysis and Control of Singular Biological Systems follows the control of real-world biological systems at both ecological and phyisological levels concentrating on the application of now-extensively-investigated singular system theory. Much
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Qingling Zhang, Chao Liu, and Xue Zhang
Complexity, Analysis and Control of Singular Biological Systems
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Authors Qingling Zhang Northeastern University College of Sciences Institute of Systems Science Shenyang China, People’s Republic
Xue Zhang Northeastern University College of Sciences Shenyang China, People’s Republic
Chao Liu Northeastern University College of Sciences Shenyang China, People’s Republic
ISSN 0170-8643 e-ISSN 1610-7411 ISBN 978-1-4471-2302-6 e-ISBN 978-1-4471-2303-3 DOI 10.1007/978-1-4471-2303-3 Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2011943813 c Springer-Verlag London Limited 2012 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)
To my Mother Fengzhi Hou. In memory of my parents. Qingling Zhang
Foreword
In this book, singular system theory is utilized to model the biological systems in the real world, some singular biological systems are established, and some qualitative analysis of proposed models are performed. To ensure the highest degree of reliability, accuracy, and quality in the content of this book, the collaboration of experts was enlisted, and this book presents their cooperative efforts. I believe that a serious effort has been made by the contributing authors in this book to pr
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