The BLI signal at equilibrium correlates with the fraction of LacI bound to DNA operators. (a) Idealized equilibrium binding curves for LacI binding to different DNA sequences, using the K
d values reported in Table 2 for lacO
1 and lacO
2 and estimated K
d values of 10−7 M for lacO
3 and 10−6 M for nonspecific DNA (“Onon”; Table SII). The dashed vertical line illustrates how, at a given LacI concentration, each operator has a different percent of LacI bound. (b) BLI was used to monitor 66 nM LacI binding to the same operators, in the presence and absence of 1 mM IPTG inducer. The change in BLI signal (Δλ) was monitored as a function of time until equilibrium was reached. All biosensors were loaded to a similar density of immobilized DNA; for simplicity, the DNA immobilization step is not shown. As expected, signals for lacO
3 + IPTG and Onon ± IPTG and were extremely low in these conditions (bottom of the plot)