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. 2015 Feb 27;12:5. doi: 10.1186/s12976-015-0001-6

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© Ghosh et al.; licensee BioMed Central. 2015

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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The absence of patterns in the Gray Scott model depending on used simulation method/numerical solution. Simulation output from the RDME (panels numbered 1), SCLE (panels numbered 2) and deterministic equations (panels numbered 3) showing where the RDME predicts patterns but SCLE and deterministic approaches do not (subplots a), and cases where the RDME and SCLE predict patterns but the deterministic approach does not. Parameters are as specified in the text, with the addition of a) k = 0.06, F = 0.02 and b) k = 0.06, F = 0.025. Simulation time steps for the SCLE and deterministic approaches were 0.1 time units. The same results were found to hold with time steps reduced to 0.0025 time units.