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Testing Turing's theory of morphogenesis in chemical cells.


ABSTRACT: Alan Turing, in "The Chemical Basis of Morphogenesis" [Turing AM (1952) Philos Trans R Soc Lond 237(641):37-72], described how, in circular arrays of identical biological cells, diffusion can interact with chemical reactions to generate up to six periodic spatiotemporal chemical structures. Turing proposed that one of these structures, a stationary pattern with a chemically determined wavelength, is responsible for differentiation. We quantitatively test Turing's ideas in a cellular chemical system consisting of an emulsion of aqueous droplets containing the Belousov-Zhabotinsky oscillatory chemical reactants, dispersed in oil, and demonstrate that reaction-diffusion processes lead to chemical differentiation, which drives physical morphogenesis in chemical cells. We observe five of the six structures predicted by Turing. In 2D hexagonal arrays, a seventh structure emerges, incompatible with Turing's original model, which we explain by modifying the theory to include heterogeneity.

SUBMITTER: Tompkins N 

PROVIDER: S-EPMC3970514 | biostudies-literature | 2014 Mar

REPOSITORIES: biostudies-literature

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Testing Turing's theory of morphogenesis in chemical cells.

Tompkins Nathan N   Li Ning N   Girabawe Camille C   Heymann Michael M   Ermentrout G Bard GB   Epstein Irving R IR   Fraden Seth S  

Proceedings of the National Academy of Sciences of the United States of America 20140310 12


Alan Turing, in "The Chemical Basis of Morphogenesis" [Turing AM (1952) Philos Trans R Soc Lond 237(641):37-72], described how, in circular arrays of identical biological cells, diffusion can interact with chemical reactions to generate up to six periodic spatiotemporal chemical structures. Turing proposed that one of these structures, a stationary pattern with a chemically determined wavelength, is responsible for differentiation. We quantitatively test Turing's ideas in a cellular chemical sys  ...[more]

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