Calculated values characterizing looping probabilities.

Calculated values of -factors, and optimized values of binding constants , , and the open loop ratio for the three cases described in the text: A (900 bp DNA with 326 bp loop and 245 nm bead), B (1632 bp DNA with 600 bp loop and 160 nm bead), and C (1632 bp DNA with 900 bp loop and 160 nm bead). The dissociation constants , , and the ratio were obtained by performing an optimized nonlinear fit between the experimental results and theoretical joint distribution as function of [LacI] (see equation (26)) as described in the text. For the case A we used experimental results shown in Figure 3 of [19].