A saturated reaction in repressor synthesis creates a daytime dead zone in circadian clocks
Fig 7
Dead zone generated by the Hill function for translation in the induction response.
(A) Phase shift Δϕ as a function of the onset of light signals tl for different values of the Hill coefficient h in Eq (12). (B) Dependence of the dead zone length Ld on h. (C) Time series of mRNA x for different values of the Hill coefficient h. (D) Dependence of the maximum and minimum values of phase sensitivity Zxmax and Zxmin on h. See S1 Table for values of reaction parameters. We set Tp = 24 by tuning τ for each value of h. In (A) Td = 0.5Tp/24 = 0.5 and εl = 0.1.