Conformational transitions in closed circular DNA molecules I. Topological and energetical considerations

A theory of conformational transitions in closed circular DNA as a function of topological linking number of the molecule () is elaborated taking into account topological and energetical considerations. The theory predicts a step-like dependence of a number of superhelical turns in DNA molecules () on . Thus, the number of superhelical turns = for small values of . For a large (when conformational transitions begin to occur) =–_ij, where _ij is the total angle of conformational transitions for a given . This prediction is in good agreement with published data on the dependence of the sedimentation coefficient of circular DNA molecules on their topological linking number. The results also allow to explain the disagreement between a number of titratable superhelical turns in circular DNA molecules and a number of supercoiles seen on electron micrographs for molecules with sufficiently large .