Energetics of the strand separation transition in superhelical DNA

In this paper the values of three free energy parameters governing the superhelical strand separation transition are determined by analysis of available experimental data. These are the free energy, a, needed to initiate a run of separation, the torsional stiffness, C, associated with interstrand winding of the two single strands comprising a separated site and the coefficient, K, of the quadratic free energy associated to residual linking. The experimental data used in this analysis are the locations and relative amounts of strand separation occurring in the pBR322 DNA molecule and the measured residual linking, both evaluated over a range of negative linking differences. The analytic method used treats strand separation as a heteropolymeric, co-operative, two-state transition to a torsionally deformable alternative conformation, which takes place in a circular DNA molecule constrained by the constancy of its linking number. The values determined for these parameters under the experimental conditions (T = 310 K, pH = 7.0, monovalent cation concentration = 0.01 m) are a = 10.84(±0.2) kcal/mol, C = 2.5(± 0.3) × 10^-13 erg/rad² and K = 2350(±80) RT/N, where N is the molecular length in base-pairs. In order to assess the accuracy of the author's theoretical methods, these free energy parameters are incorporated into the analysis of superhelical strand separation in different molecules and under other conditions than those used in their evaluation. First, the temperature dependence of transition is treated, then superhelical strand separation is analyzed in a series of DNA molecules having systematic sequence modifications, and the results of these theoretical analyses are compared with those from experiments. In all molecules, transition is predicted in the range of linking differences where it is seen experimentally. Moreover, it occurs at the specific sequence locations that the analysis predicts, and with approximately the predicted relative amounts of transition at each location. The known sensitivities of this transition to changes of temperature and to small sequence modifications are predicted in a quantitatively precise manner by the theoretical results. The demonstrated high-level precision of these theoretical methods provides a tool for the screening of DNA sequences for sites susceptible to superhelical strand separation, some of which may have regulatory or other biological significance.