Physical properties of DNA in vivo as probed by the length dependence of the lac operator looping process

Abstract

Plasmid constructs containing a wild-type (O+) lac operator upstream of an operator-constitutive (Oc) lac control element exhibit a length-dependent, oscillatory pattern of repression of expression of the regulated gene as interoperator spacing is varied from 115 to 177 base pairs (bp). Both the length dependence and the periodicity of repression are consistent with a thermodynamic model involving a stable looped complex in which bidentate lac repressor interacts simultaneously with both O+ and Oc operators. The oscillatory pattern of repression with distance occurs with a period approximating the helical repeat of DNA and presumably reflects the necessity for proper alignment of interacting operators along the helical face of the DNA. In the length regime examined, the presence of the upstream operator enhances repression between 6-fold and 50-fold depending upon phasing. This reflects a torsional rigidity of DNA in vivo that is consistent with in vitro measurements. The oscillatory pattern of repression is best fit with a period of either 9.0 or 11.7 bp/cycle but not 10.5 bp/cycle. This periodicity is interpreted as reflecting the average helical repeat of the 40-bp interoperator region of plasmid DNA in vivo, suggesting that the local helical repeat of DNA in vivo may differ significantly from 10.5 bp/turn. The apparent persistence length needed to fit the data (aapp) is only one-fifth the standard in vitro value. This low value of aapp may be due in part to DNA bending induced by catabolite activator protein (CAP) bound to its site between the interacting operators. Quantitative analysis of the dependence of loop formation on the interoperator spacing can thus be used to characterize the physical properties of the intervening DNA sequence in vivo.