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Figure 2 | Theoretical Biology and Medical Modelling

Figure 2

From: The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions

Figure 2

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.

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