Energetics of DNA twisting. II. Topoisomer analysis.

A gel electrophoresis method has been developed for resolving small (approximately equal to 250 bp DNA topoisomers. In this size range only one major topoisomer band is observed, except for ligase closure conditions in which the probabilities are nearly equal for circularization by untwisting and overtwisting the corresponding linear DNA. The two probabilities are nearly equal when delta Tw is close to 0.5, if the mean helical twist of the linear DNA is n + delta Tw, where n is an integer and delta Tw is the fractional twist. We determine delta Tw of the linear DNA in standard conditions (20 degrees C, no ethidium) by titration experiments in which delta Tw is varied at the time of ligase closure, either by changing temperature or ethidium concentration. The endpoint (delta Tw = 0.5) is found when the two topoisomers formed by untwisting and overtwisting are present at equal concentrations. This analysis assumes that the net writhe is zero and the DNA helix is isotropically bendable. The results confirm the analysis of cyclization probabilities given in the preceding paper: delta Tw = 0 at the two maxima in the curve of j-factor versus DNA length and delta Tw = 0.5 at the minimum. Consequently, we can determine the DNA lengths at which Tw takes on integral values and use them to measure precisely the average helix repeat. From the difference between the delta Tw values of DNAs with 237 and 247 bp, we obtain an approximate value for the helix repeat of h = 10.4 +/- 0.1 bp/turn, in good agreement with earlier values found by the band-shift and nuclease-cutting methods. The twist is integral at 250.8 +/- 0.4 bp and from h = 10.4 +/- 0.1 we find n = 24; then 250.8/24 gives h = 10.45 +/- 0.02 bp/turn. The mean linking number (Lk) changes in a stepwise manner as delta Tw is varied for 250 bp DNAs. This result is expected when the free energy of twisting half a turn becomes large compared to thermal fluctuations. In these experiments, it is possible to obtain the mean Tw value from the mean Lk value only when delta Tw = 0.5, and consequently the mean Lk value is not simply related to DNA length for 250 bp DNAs except when delta Tw = 0.5.(ABSTRACT TRUNCATED AT 400 WORDS)