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The equilibrium three dimensional shape of relatively short loops of DNA is studied using an elastic model that takes into account anisotropy in bending rigidities. Using a reasonable estimate for the anisotropy, it is found that cyclized…

Biomolecules · Quantitative Biology 2008-11-24 Davood Norouzi , Farshid Mohammad-Rafiee , Ramin Golestanian

We examine the conformations of a model for under- and overwound DNA. The molecule is represented as a cylindrically symmetric elastic string subjected to a stretching force and to constraints corresponding to a specification of the link…

Soft Condensed Matter · Physics 2009-10-28 Boris Fain , Joseph Rudnick , Stellan Ostlund

This paper introduces the use of cable dynamics models as a means to explore the mechanics of DNA on long-length scales. It is on these length scales that DNA forms twisted and curved three-dimensional shapes known as supercoils and loops.…

Biological Physics · Physics 2007-05-23 Sachin Goyal , Todd Lillian , Noel C. Perkins , Edgar Meyhofer

In this paper we consider a physical system in which two DNA molecules braid about each other. The distance between the two molecular ends, on either side of the braid, is held at a distance much larger than supercoiling radius of the…

Soft Condensed Matter · Physics 2014-07-02 Dominic J. , Lee

We study the elastic response of a worm-like polymer chain with reversible kink-like structural defects. This is a generic model for (a) the double-stranded DNA with sharp bends induced by binding of certain proteins, and (b) effects of…

Soft Condensed Matter · Physics 2009-11-10 Yuri O. Popov , Alexei V. Tkachenko

We study the elastic behaviour of a supercoiled DNA molecule. The simplest model is that of a rod like chain, involving two elastic constants, the bending and the twist rigidities. We show that this model is singular and needs a small…

Condensed Matter · Physics 2009-10-31 Claude Bouchiat , Marc Mezard

Recent works on localized charge transport along DNA, based on a three--dimensional, tight--binding model (Eur. Phys. J. B 30:211, 2002; Phys. D 180:256, 2003), suggest that charge transport is mediated by the coupling of the radial and…

Pattern Formation and Solitons · Physics 2007-05-23 F. Palmero , J. F. R. Archilla , D. Hennig , F. R. Romero

The effect of electrostatic interactions on the stretching of DNA is investigated using a simple worm like chain model. In the limit of small force there are large conformational fluctuations which are treated using a self-consistent…

Soft Condensed Matter · Physics 2009-10-31 Namkyung Lee , D. Thirumalai

DNA toroidal bundles form upon condensation of one or multiple DNA filaments. DNA filaments in toroidal bundles are hexagonally packed, and collectively twist around the center line of the toroid. In a previous study, we and our coworkers…

Soft Condensed Matter · Physics 2023-01-24 Luca Barberi , Martin Lenz

Twisting DNA under a constant applied force reveals a thermally activated transition into a state with a supercoiled structure known as a plectoneme. Using transition state theory, we predict the rate of this plectoneme nucleation to be of…

Biological Physics · Physics 2015-03-17 Bryan C. Daniels , James P. Sethna

DNA bending is biologically important for genome regulation and is relevant to a range of nanotechnological systems. Recent results suggest that sharp bending is much easier than implied by the widely-used worm-like chain model; many of…

Biomolecules · Quantitative Biology 2015-07-01 Ryan M. Harrison , Flavio Romano , Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We propose that supercoiling energizes double-stranded DNA (dsDNA) so as to facilitate thermal fluctuations to an unzipped state. We support this with a model of two elastic rods coupled via forces that represent base pair interactions.…

Soft Condensed Matter · Physics 2009-11-10 Shirish M. Chitanvis , Paul M. Welch

Despite the significance of the high flexibility exhibited by short DNAs, there remains an incomplete understanding of their anomalous persistence length. In this study, we propose a novel approach wherein each fundamental characteristic of…

Biological Physics · Physics 2024-04-11 Chenyu Shi , Meicheng Yao , Bin Chen

The response of a short DNA segment to bending is studied, taking into account the anisotropy in the bending rigidities caused by the double-helical structure. It is shown that the anisotropy introduces an effective nonlinear twist-bend…

Soft Condensed Matter · Physics 2015-06-24 Farshid Mohammad-Rafiee , Ramin Golestanian

Efforts to modulate the electronic properties of atomically thin crystalline nanoribbons requires precise control over their morphology. Here, we perform atomistic simulations on freestanding graphene nanoribbons (GNRs) to first identify…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Hailong Wang , Moneesh Upmanyu

The chiral nature of DNA plays a crucial role in cellular processes. Here we use magnetic tweezers to explore one of the signatures of this chirality, the coupling between stretch and twist deformations. We show that the extension of a…

Biomolecules · Quantitative Biology 2009-09-29 Timothee Lionnet , Sylvain Joubaud , Richard Lavery , David Bensimon , Vincent Croquette

Because of the double-helical structure of DNA, in which two strands of complementary nucleotides intertwine around each other, a covalently closed DNA molecule with no interruptions in either strand can be viewed as two interlocked…

Biomolecules · Quantitative Biology 2015-05-13 Lauren A. Britton , Wilma K. Olson , Irwin Tobias

To study the elastic properties of rod-like DNA nanostructures, we perform long simulations of these structure using the oxDNA coarse-grained model. By analysing the fluctuations in these trajectories we obtain estimates of the bend and…

Nucleic acids are highly deformable helical molecules constantly stretched, twisted and bent in their biological functioning. Single molecule experiments have shown that double stranded (ds)-RNA and standard ds-DNA have opposite…

Soft Condensed Matter · Physics 2023-06-28 Marco Zoli

The complex mechanisms governing charge migration in DNA oligomers reflect the rich structural and electronic properties of the molecule of life. Controlling the mechanical stability of DNA nanowires in charge transport experiments is a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Bo Song , Marcus Elstner , Gianaurelio Cuniberti