Cellular Automaton Modeling of Biological Pattern Formation Characte
This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both
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Andreas Deutsch Sabine Dormann
Cellular Automaton Modeling of Biological Pattern Formation Characterization, Examples, and Analysis Second Edition
Modeling and Simulation in Science, Engineering and Technology Series Editors Nicola Bellomo Department of Mathematics Faculty of Sciences King Abdulaziz University Jeddah, Saudi Arabia
Tayfun E. Tezduyar Department of Mechanical Engineering Rice University Houston, TX, USA
Editorial Advisory Board K. Aoki National Taiwan University Taipei, Taiwan
Thomas J. R. Hughes Institute for Computational Engineering & Sciences University of Texas at Austin Austin, TX, USA
Y. Bazilevs Department of Structural Engineering University of California, San Diego La Jolla, CA, USA
P. Koumoutsakos Computational Science & Engineering Laboratory ETH Zürich Zürich, Switzerland
M. Chaplain School of Mathematics & Statistics University of St. Andrews St. Andrews, Scotland, UK
A. Prosperetti Cullen School of Engineering University of Houston Houston, TX, USA
P. Degond Department of Mathematics Imperial College London London, UK
K. R. Rajagopal Department of Mechanical Engineering Texas A&M University College Station, TX, USA
A. Deutsch Center for Information Services and High Performance Computing Technische Universität Dresden Dresden, Germany
K. Takizawa Department of Modern Mechanical Engineering Waseda University Tokyo, Japan
L. Gibelli Warwick University Coventry, UK
Y. Tao Dong Hua University Shanghai, China
M.Á. Herrero Departamento de Matematica Aplicada Universidad Complutense de Madrid Madrid, Spain
H. van Brummelen Department of Mechanical Engineering Eindhoven University of Technology Eindhoven, The Netherlands
More information about this series at http://www.springer.com/series/4960
Andreas Deutsch • Sabine Dormann
Cellular Automaton Modeling of Biological Pattern Formation Characterization, Examples, and Analysis Second Edition
Foreword by Philip K. Maini Fellow of the Royal Society London
Andreas Deutsch Centre for Information Services and High Performance Computing Technische Universit¨at Dresden Dresden, Germany
Sabine Dormann FB Mathematik/Informatik Universit¨at Osnabr¨uck Osnabr¨uck, Germany
ISSN 2164-3679 ISSN 2164-3725 (electronic) Modeling and Simulation in Science, Engineering and Technology ISBN 978-1-4899-7978-0 ISBN 978-1-4899-7980-3 (eBook) DOI 10.1007/978-1-4899-7980-3 Library of Congress Control Number: 2017941183 Mathematics Subject Classification (2010): 92-01, 92C15, 37B15, 68Q80, 68U20 © Springer Science+Business Media New York 2005, 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, regis
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