Lecture Notes in Biomathematics

Modelling of Patterns in Space and Time

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

Editors: Jäger, W., Murray, J.D. (Eds.)

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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.

Table of contents (30 chapters)

  • Contraction Patterns in a Viscous Polymer System

    Alt, Wolfgang

    Pages 1-12

  • Formation and Evolution of Spatial Structures in Chemotactic Bacterial Systems

    Boon, Jean-Pierre (et al.)

    Pages 13-29

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

    Brown, R. A. (et al.)

    Pages 30-42

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

    Burgess, A. E. (et al.)

    Pages 43-50

  • Patterns of Bifurcations in Plane Layers and Spherical Shells

    Busse, F. H.

    Pages 51-60

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-45589-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.00
price for USA
  • ISBN 978-3-540-13892-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
  • W. Jäger
  • J.D. Murray
Series Title
Lecture Notes in Biomathematics
Series Volume
55
Copyright
1984
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-45589-6
DOI
10.1007/978-3-642-45589-6
Softcover ISBN
978-3-540-13892-1
Series ISSN
0341-633X
Edition Number
1
Number of Pages
VIII, 410
Topics