V. V. Anshelevich

TL;DR: The variance of equilibrium distribution of a circular wormlike polymer chain over the writhing number, [Wr)2), as a function of the number of Kuhn statistical segments, n, is calculated.

TL;DR: A modified Monte Carlo approach has been used, which allowed computer statistical-mechanical simulations of moderately and highly supercoiled DNA molecules, showing that the generally accepted quadratic dependence of F on Lk is valid for a variety of conditions, though it is by no means universal.

TL;DR: The data on the dependence of the variance of writhing, mean value of (WR)2, on d indicate that the DNA superhelix energy should be significantly ionic strength-dependent, and the free-joint model underestimates the meanvalue of (Wr)2 value by about 20% as compared with the wormlike model.

TL;DR: The distribution of closed unknotted polymer chains over the writhing number is calculated by the Monte-Carlo method and the balance which arises from fluctuations in DNA twisting makes it possible to estimate the torsional stiffness of the double helix.

TL;DR: This analysis has explained quantitatively the peculiar chain‐length dependence of the experimentally observed shift in the DNA melting temperature during fragmentation, and confirmed that even in the presence of profound hysteresis phenomena, the melting profile observed on heating may differ only slightly from the equilibrium profile.