Abstract

Turing patterns — stationary chemical patterns that arise spontaneously from a homogeneous state as a consequence of competition between reaction and diffusion processes — have served as the basis for extensive theoretical work in nonlinear physics, chemistry, biology, and mathematics [1–5]. Although predicted by Turing in 1952 in a landmark paper entitled The Chemical Basis of Morphogenesis [6], clear evidence of these nonequilibrium chemical patterns in well-controlled single-phase reaction-diffusion systems was not obtained until recently, first by a group in Bordeaux [7, 8], then by our group [9, 10], and later by a group in Brandeis [11, 12]. These experiments have sparked a renewed interest in Turing patterns.

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