Waves and Patterns in Chemical and Biological Media

These 28 contributions by leading researchers describe recent experiments numerical simulations and theoretical analyses of the formation of spatial patterns in chemical and biological systems.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. 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.