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Figure 5 | BMC Systems Biology

Figure 5

From: Bell-shaped and ultrasensitive dose-response in phosphorylation-dephosphorylation cycles: the role of kinase-phosphatase complex formation

Figure 5

Ultrasensitivity. (a) R, total K, P and KP are numerically calculated as KPB is changed in the extended model with only kinase active (Figure 2d). Parameters used are: λ−1 = 10 s−1,λ1 = 1μ M−1s−1,k1 = 100 s−1,λ−2 = 10 s−1,λ2 = 1μ M−1s−1,k2 = 100 s−1,λ−4 = 10 s−1,λ4 = 100μ M−1s−1,k4 = 0. 01 s−1,κ−1 = 10 s−1,κ1 = 1μ M−1s−1,P t = 10μ M,S t = 1μ M. Hill coefficient for basic model and active K is n H = 1 and n H = 1. 8, respectively. (b) R, total K, P and KP are numerically calculated as KPB is changed in the extended model with only phosphatase active (Figure 2c). Parameters used are: λ−1 = 10 s−1,λ1 = 1μ M−1s−1,k1 = 100 s−1,λ−2 = 10 s−1,λ2 = 1μ M−1s−1,k2 = 100 s−1,λ−3 = 10 s−1,λ3 = 100μ M−1s−1,k3 = 0. 01 s−1,κ−1 = 10 s−1,κ1 = 1μ M−1s−1,P t = 10μ M,S t = 1μ M. Hill coefficient for basic model and active K is n H = 1 and n H = 1. 95, respectively. In both case the bottom panels show that the level of enzymes remains above the substrate, so we are far from the zero-order regime.

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