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. 2014 Aug 14;10(8):e1003784. doi: 10.1371/journal.pcbi.1003784

Figure 6. Kinase-phosphatase model (A) and its relaxation time (B).

Figure 6

The relaxation times Inline graphic of the variables Inline graphic are plotted against the total concentration of phosphatase. Inline graphic is defined as the time when the summation of Inline graphic of all Inline graphic falls below the threshold value, after relaxation at a kinase-rich condition (Inline graphic). The model shows the transition from fast exponential relaxation to slow logarithmic relaxation at the critical point (Inline graphic). (When the amount of the phosphatase is lower than that of kinase (Inline graphic), the relaxation time itself is shorter, whereas the logarithmic relaxation remains. Here, the stable fixed-point value of the concentration Inline graphic changes to a higher value, and the relaxation time is decreased.)