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A saturated reaction in repressor synthesis creates a daytime dead zone in circadian clocks

Fig 4

Phase response curves with no extended dead zone in the negative feedback loop model Eqs (8)–(10) with the induction response.

(A) Time series of the levels of mRNA x, cytoplasmic protein y and nuclear protein z in Eqs (8)–(10) in the absence of a light signal. (B) Phase shift Δϕ as a function of the onset of light signals tl. Results for different values of εl are shown. (C) Phase sensitivity Zx. In (B) and (C), the time series of x (red broken line) is plotted (right y-axis) as a reference. Time is normalized by the period of oscillation Tp. Values of reaction parameters are listed in S1 Table. Tp = 12.67. In (B), Td = 0.5Tp/24 = 0.3.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1006787.g004