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Science 7 September 1973:
Vol. 181. no. 4103, pp. 937 - 939
DOI: 10.1126/science.181.4103.937
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Articles

Scroll-Shaped Waves of Chemical Activity in Three Dimensions

Arthur T. Winfree 1

1 Department of Biological Sciences, Purdue University, West Lafayette, Indiana 47907

Ferric ions catalyze the oxidation of malonate by bromate in acid solution, sometimes at a spatially uniform, steady rate, but sometimes in a self-regenerating three-dimensional wave which resembles a rotating scroll, often with its axis closed in a ring. In cross section perpendicular to the axis, one sees an involute spiral emerging from a thin cylindrical core. This "dissipative structure" organizes reaction stages periodically in space and time everywhere except along its rotation axis, which may therefore be a thermodynamically unique locus.


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