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Modelling of Patterns in Space and Time

Proceedings of a Workshop held by the Sonderforschungsbereich 123 at Heidelberg July 4–8, 1983

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. Willi Jäger

    1. Institut für Angewandte Mathematik, Heidelberg, Federal Republic of Germany

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  2. James D. Murray

    1. Mathematics Institute, Centre for Mathematical Biology, University of Oxford, Oxford, Great Britain

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 55)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Contraction Patterns in a Viscous Polymer System

    • Wolfgang Alt
    Pages 1-12

  3. Formation and Evolution of Spatial Structures in Chemotactic Bacterial Systems

    • Jean-Pierre Boon, Brigitte Herpigny
    Pages 13-29

  4. Pattern Formation in Directional Solidification: The Nonlinear Evolution of Cellular Melt/Solid Interfaces

    • R. A. Brown, L. H. Ungar
    Pages 30-42

  5. Evolution of 3-D Chemical Waves in the BZ Reaction Medium

    • A. E. Burgess, B. J. Welsh, J. Gomatam
    Pages 43-50

  6. Patterns of Bifurcations in Plane Layers and Spherical Shells

    • F. H. Busse
    Pages 51-60

  7. Chemotactic Collapse in Two Dimensions

    • Stephen Childress
    Pages 61-66

  8. Singular Bifurcation in Reaction — Diffusion Systems

    • Thomas Erneux, Bernard J. Matkowsky, Edward L. Reiss
    Pages 67-72

  9. How Chemical Structure Determines Spatial Structure in Flame Profiles

    • P. C. Fife, B. Nicolaenko
    Pages 73-86

  10. An Age-Dependent Population Model with Applications to Microbial Growth Processes

    • Mats Gyllenberg
    Pages 87-102

  11. Cell Traction and the Generation of Anatomical Structure

    • Albert K. Harris
    Pages 103-122

  12. A hysteresis model for bacterial growth patterns

    • F. C. Hoppensteadt, W. Jäger, C. Pöppe
    Pages 123-134

  13. Chaos in Simple Three- and Four-Variable Chemical Systems

    • J. L. Hudson, O. E. Rössler
    Pages 135-145

  14. Spatial Structures Induced by Chemical Reactions at Interfaces: Survey of some Possible Models and Computerized Pattern Analysis

    • M. L. Kagan, S. Peleg, E. Meisels, D. Avnir
    Pages 146-156

  15. Dynamic Patterns im Excitable Media

    • James P. Keener
    Pages 157-169

  16. Head Regeneration in Hydra: Biological Studies and a Model

    • Wolfgang Kemmner
    Pages 170-187

  17. Pattern Formation in Aspect

    • Yehoshua Keshet, Lee A. Segel
    Pages 188-197

  18. Chemotaxis and Cell Aggregation

    • Douglas A. Lauffenburger
    Pages 198-213

  19. Turing Structures, Periodic and Chaotic Regimes in Coupled Cells

    • M. Marek
    Pages 214-227

  20. Digits, Segments, Somites — The Superposition of Sequential and Periodic Structures

    • Hans Meinhardt
    Pages 228-245
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Keywords

About this book

This volume contains a selection of papers presented at the work­ shop "Modelling of Patterns in Space and Time", organized by the 80nderforschungsbereich 123, "8tochastische Mathematische Modelle", in Heidelberg, July 4-8, 1983. The main aim of this workshop was to bring together physicists, chemists, biologists and mathematicians for an exchange of ideas and results in modelling patterns. Since the mathe­ matical problems arising depend only partially on the particular field of applications the interdisciplinary cooperation proved very useful. The workshop mainly treated phenomena showing spatial structures. The special areas covered were morphogenesis, growth in cell cultures, competition systems, structured populations, chemotaxis, chemical precipitation, space-time oscillations in chemical reactors, patterns in flames and fluids and mathematical methods. The discussions between experimentalists and theoreticians were especially interesting and effective. The editors hope that these proceedings reflect at least partially the atmosphere of this workshop. For the convenience of the reader, the papers are ordered alpha­ betically according to authors. However, the table of contents can easily be grouped into the main topics of the workshop. For practical reasons it was not possible to reproduce in colour the beautiful pictures of patterns shown at the workshop. Since a larger number of half-tone pictures could be included in this volume, the loss of information has, however, been kept to a minimum. The workshop has already stimulated cooperation between its parti­ cipants and this volume is intended to spread this effect.

Editors and Affiliations

  • Institut für Angewandte Mathematik, Heidelberg, Federal Republic of Germany

    Willi Jäger

  • Mathematics Institute, Centre for Mathematical Biology, University of Oxford, Oxford, Great Britain

    James D. Murray

Bibliographic Information

  • Book Title: Modelling of Patterns in Space and Time

  • Book Subtitle: Proceedings of a Workshop held by the Sonderforschungsbereich 123 at Heidelberg July 4–8, 1983

  • Editors: Willi Jäger, James D. Murray

  • Series Title: Lecture Notes in Biomathematics

  • DOI: https://doi.org/10.1007/978-3-642-45589-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1984

  • Softcover ISBN: 978-3-540-13892-1Published: 01 December 1984

  • eBook ISBN: 978-3-642-45589-6Published: 13 March 2013

  • Series ISSN: 0341-633X

  • Series E-ISSN: 2196-9981

  • Edition Number: 1

  • Number of Pages: VIII, 410

  • Topics: Life Sciences, general, Applications of Mathematics, Algebra, Mathematical and Computational Biology

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