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Figure 5 | BMC Systems Biology

Figure 5

From: On the functional diversity of dynamical behaviour in genetic and metabolic feedback systems

Figure 5

(a) Bifurcation diagram of K 1 against n 1 . The stable and oscillatory regions are separated by the K1thesh curve which increasingly approaches the K1crit line (dashed). B, indicated on the n1-axis, is the minimum value of the Hill coefficient at which oscillations are possible (parameter values k1 = 1, k2 = 2, k3 = 1, kd1 = 1.2, kd2 = 3, kd3 = 2 were used for graphing). (b, c) Comparison of the K1 vs. n1 bifurcation diagrams for different scenarios. (b) K1 vs. n1 bifurcation diagram for the base parameter set, k1 = 1, k2 = 2, k3 = 1, kd1 = 1.2, kd2 = 3, kd3 = 2, (solid); when a synthesis rate k1 is doubled (dashed); and 10-times increased (dot). Note that the exact same effects are also obtained for changing other synthesis rates. (c) K1 vs. n1 bifurcation diagram for the base parameter set (solid) compared to the set in which the degradation rate kd1 is increased 10 times (dashed), and the set when the degradation rates are set identical, kd1 = kd2 = kd3 = 0.5 (dot).

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