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Figure 7 | Biology Direct

Figure 7

From: The stochastic behavior of a molecular switching circuit with feedback

Figure 7

Residence times t in the switched state as a function of J , N , and the distance from the critical point g - g c . In all cases the circuit has symmetric feedback and I = P. (a): log t vs. N for J = 2, 3, 4, 5 based on Monte-Carlo simulations. To meaningfully compare residence times, the coupling g = N/ I P MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaGcaaqaaiabdMeajjabdcfaqbWcbeaaaaa@2F0B@ is kept constant by varying the external kinase and phosphatase numbers appropriately, I = P = N/g. To compare across J, the distance from the critical point, g - g c , is held constant at 1 (recall that g c = (J + 1)/(J - 1)). The green curve is for J = 2 and g = 4.0862 (from setting ξ = 1 in Eq. 10). This is the case calculated from first principles in [16]. The best fit to the slope of the green simulation data is log t ~ N* 0.023, which is very close to our theoretical prediction log τ ~ N* 0.021. (b): log t vs. g - g c for different J s at N = 50. Curves from bottom to top are for J = 2, 3, 4, 5, 6, 7, 8, 9.

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