FIGURE 1:

Mixed, processive, and distributive mechanisms. S00, S01, and S11 denote unphosphorylated, monophosphorylated, and bisphosphorylated forms of the substrate, respectively. (A) In our model, dual phosphorylation and dephosphorylation are assumed to occur by a mixed mechanism. Processive and distributive mechanisms are limiting cases of the mixed mechanism. (B) In a processive mechanism, the same enzyme phosphorylates the substrate twice, without dissociating. This corresponds to the limit where
for the complex of enzyme and monophosphorylated substrate. (C) In a distributive mechanism, upon the first phosphorylation event, the enzyme–substrate complex dissociates immediately, allowing the molecules to find new binding partners. This corresponds to the limit where
for the complex of enzyme and monophosphorylated substrate.