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Fig. 6 | BMC Systems Biology

Fig. 6

From: Markov State Models of gene regulatory networks

Fig. 6

The MSM approximation accuracy for the ETS motif depends on rate parameters and number of macrostates in the reduced model. a Quasipotential landscape for the exclusive dimeric repressor toggle switch, with increasing DNA-binding rates (left to right: fr = {1E − 4, 1E − 2, 1E0, 1E2, 1E4}, all parameter values listed in Additional file 1: Table S2), demonstrating the dependence of basin number and barrier height on network parameters. b Global error of the MSM approximation. Left: Global error as a function of time (in intervals of τ) for different f r and numbers of macrostates. Solid lines: global error of the 3-state MSM. Dashed lines: global error of the 2-state MSM. Right: Total global error over kτ, k = 0 to 500, for a 3-state (solid blue) or 2-state (dashed blue) MSM. Solid orange line: the longest system lifetime t2. c Error of the MSM approximation when the system is initialized in a particular microstate. Left: Error as a function of time (in intervals of τ) for different adiabaticities and different numbers of macrostates. Solid lines: error of the 3-state MSM. Dashed lines: error of the 2-state MSM. Right: Total error from a particular microstate over kτ where k = 0 to 500, for a 3-state (solid blue) or 2-state (dashed blue) MSM. Orange line: the longest system lifetime t2

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