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A thermodynamically consistent model of the post-translational Kai circadian clock
Fig 12
Probability density of the time, per period of the phosphorylation cycle, the CII domain of a KaiC hexamer is bound to KaiA, ΔtCII·KaiA.
(A), or the CI domain has at least one KaiA dimer bound, ΔtCI·KaiA (B). We compare situations with our standard value for the KaiA dissociation rate, 
(orange solid line) with a much lower value 
(blue dotted line). (A) For the CII domain, both values of the KaiA dissociation rate show unimodal distributions of the time KaiA is bound. This indicates that, during a period, KaiA binds to all hexamers in the ensemble equally likely. Of all hexamers, only 1% do not bind KaiA to CII at any time during the period. (B) For the CI domain, the time KaiA is sequestered by KaiC is roughly exponentially distributed, and is the same for both KaiA dissociation rates from the CII domain. Here, 30% of the hexamers do not sequester KaiA at all during a period, indicating many hexamers do not sequester KaiA during a cycle.
doi: https://doi.org/10.1371/journal.pcbi.1005415.g012