𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Brownian motion of the wormlike chain and segmental diffusion of DNA

✍ Scribed by Otto G. Berg

Publisher
Wiley (John Wiley & Sons)
Year
1979
Tongue
English
Weight
664 KB
Volume
18
Category
Article
ISSN
0006-3525

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The dynamics of the wormlike chain model for a polymer in solution is investigated in the case of free torsional and no longitudinal variations. A Langevin equation is derived and solved for circularly closed chains, neglecting hydrodynamic interactions. The local diffusion behavior of particular segments is described, and it is found that the mean‐square displacements are proportional to t^3/4^ at short times. Also, the equilibrium correlation functions for the closed chain are derived from the dynamic model in both the discrete and wormlike cases.

πŸ“œ SIMILAR VOLUMES

Sedimentation coefficients of DNA topois
Sedimentation coefficients of DNA topoisomers: The helical wormlike chain
✍ Jiro Shimada; Hiromi Yamakawa πŸ“‚ Article πŸ“… 1988 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 472 KB

## Synopsis The sedimentation coefficient sN of the DNA topoisomer with the linking number N is evaluated as a function of N and chain length on the basis of a (circular) twisted wormlike chain, i.e., a special case of the helical wormlike chain. Evaluation is carried out by an application of the

Analysis of the ring-closure probabiliti
Analysis of the ring-closure probabilities of isotropic wormlike chains: Application to duplex DNA
✍ Paul J. Hagerman πŸ“‚ Article πŸ“… 1985 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 806 KB

The configurational properties of an isotropically bendable wormlike chain have been investigated using a Monte Carlo approach. In particular, radial distributions for endtoend separation, ring closure probabilities, and the angular correlation of the two ends of the chain have all been determined a

Relationship between the energy of super
Relationship between the energy of superhelix formation, the shear modulus, and the torsional brownian motion of DNA
✍ Marc Le Bret πŸ“‚ Article πŸ“… 1978 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 854 KB

## Abstract The torsional energy of a DNA is the energy involved when the average angle between adjacent base pairs is modified under applied constraints. A relationship is established between the energy of superhelix formation of a upercoiled DNA and its torsional energy. This relationship, valid