Applications of Membrane Computing
Membrane computing is a branch of natural computing which investigates computing models abstracted from the structure and functioning of living cells and from their interactions in tissues or higher-order biological structures. The models considered, call
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Leiden Center for Natural Computing
Advisory Board: S. Amari G. Brassard K.A. De Jong C.C.A.M. Gielen T. Head L. Kari L. Landweber T. Martinetz ° Z. Michalewicz M.C. Mozer E. Oja G. Paun J. Reif H. Rubin A. Salomaa M. Schoenauer H.-P. Schwefel C. Torras D. Whitley E. Winfree J.M. Zurada
° Gabriel Ciobanu · Gheorghe Paun · Mario J. Pérez-Jiménez (Eds.)
Applications of Membrane Computing With 99 Figures and 24 Tables
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Editors Gabriel Ciobanu
Series Editors G. Rozenberg (Managing Editor)
Institute of Computer Science of the Romanian Academy Blvd. Copou 8 700506 Ias, i, Romania [email protected]
[email protected] Th. Bäck, J.N. Kok, H.P. Spaink
° Gheorghe Paun Research Group on Natural Computing Department of Computer Science and Artificial Intelligence University of Seville Avda. Reina Mercedes s/n 41012 Seville, Spain [email protected]
Leiden Institute of Advanced Computer Science Leiden University Niels Bohrweg 1 2333 CA Leiden, The Netherlands A.E. Eiben Vrije Universiteit Amsterdam The Netherlands
Mario J. Pérez-Jiménez Research Group on Natural Computing Department of Computer Science and Artificial Intelligence University of Seville Avda. Reina Mercedes s/n 41012 Seville, Spain [email protected]
Library of Congress Control Number: 2005929610
ACM Computing Classification (1998): D.1, F.1, F.4, I.1, I.6, J. 3–4. ISBN-10 3-540-25017-4 Springer Berlin Heidelberg New York ISBN-13 978-3-540-25017-3 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2006 Printed in Germany The use of general descriptive names, registered names, trademarks, 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. Cover Design: KünkelLopka, Werbeagentur, Heidelberg Typesetting: by the Editors Production: LE-TEX Jelonek, Schmidt & Vöckler GbR, Leipzig Printed on acid-free paper 45/3142/YL – 5 4 3 2 1 0
Preface
Membrane computing is a branch of natural computing which investigates computing models abstracted from the structure and functioning of living cells and from their interactions in tissues or higher order biological structures. Briefly, a membrane system is a distributed computing model processing multisets of o
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