Skip to main content
. 2012 Jul 12;8(7):e1002585. doi: 10.1371/journal.pcbi.1002585

Figure 5. Scaling of the limit cycle for the Mixed Feedback Loop adaptive model.

Figure 5

(A) Sketch of the model. Parameters and equations are given in Supplementary Text S1 (B) Variation of the period as a function of input values. (C) limit cycle for different values of the input in the B-transcript, A-protein plane. Limit cycle varies over almost one order of magnitude in B-transcript level, while the period changes by a few percent. Note that the fixed point for A is adaptive (independent of input). (D) Linear rescaling of the limit cycles to the unit interval in each variable showing almost perfect collapse for different input values. Circles indicate the fixed point. Color code follows bar in panel F (E) PRC for different input values, represented by different colors. The PRC was computed by adding a degradation term of Inline graphic for B transcripts for Inline graphic of the period (see equations in Supplementary Text S1). (F) B as a function of phase for the limit cycle at different temperatures. The maximum of B is defined as phase Inline graphic for the PRC. There is almost perfect overlap.