These 28 contributions by leading researchers - from such
diverse disciplines as chemistry, biology, physics, mathematics,
and physiology - describe recent experiments, numerical
simulations, and theoretical analyses of the formation of spatial
patterns in chemical and biological systems.Chemical patterns have
been systematically studied since the field was established by Alan
Turing's landmark 1952 paper, "The chemical basis for
morphogenesis," yet only recently have new experimental techniques
and numerical analyses of reaction-diffusion equations opened the
way to understanding stationary and traveling wave patterns.This
collection summarizes the exciting developments in this rapidly
growing field. It shows that some biological patterns have been
found to be strikingly similar to patterns found in simple,
well-controlled laboratory chemical systems, that new chemical
reactor designs make it possible to sustain chemical patterns and
to study transitions between different kinds of patterns, and that
nearly 40 years after Turing's paper, the patterns predicted by
Turing have finally been observed in laboratory experiments.Harry
L. Swinney is Sid Richardson Foundation Regents Chair, Department
of Physics, and Director of the Center for Nonlinear Dynamics at
the University of Texas at Austin. Valentin I. Krinsky is Head of
the Autowave Laboratory, Institute of Biological Physics, Academy
of Sciences, Pushchino, USSR.Chapters cover: Spiral, Ring, and
Scroll Patterns: Experiments. Spiral, Ring, and Scroll Patterns:
Theory and Simulations. Fronts and Turing Patterns. Waves and
Patterns in Biological Systems.
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