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In this work, we combine coarse-grained Brownian dynamics simulations and mean-field theory to study supercoiling dynamics, as well as the steady-state profiles of twist and writhe, in an open DNA polymer where one of the free ends is…

Soft Condensed Matter · Physics 2026-02-17 Daniela Moretti , Giuseppe Gonnella , Antonio Suma , Giada Forte , Davide Marenduzzo , Cristian Micheletti

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

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

We generalize the Poland-Scheraga (PS) model to the case of a circular DNA, taking into account the twisting of the two strains around each other. Guided by recent single-molecule experiments on DNA strands, we assume that the torsional…

Soft Condensed Matter · Physics 2009-06-04 A. Kabakcioglu , E. Orlandini , D. Mukamel

DNA supercoiling, the under or overwinding of DNA, is a key physical mechanism both participating to compaction of bacterial genomes and making genomic sequences adopt various structural forms. DNA supercoiling may lead to the formation of…

Biological Physics · Physics 2019-06-26 Thibaut Lepage , Ivan Junier

We use an elastic rod model with contact to study the extension versus rotation diagrams of single supercoiled DNA molecules. We reproduce quantitatively the supercoiling response of overtwisted DNA and, using experimental data, we get an…

Biomolecules · Quantitative Biology 2013-05-29 Sebastien Neukirch

Helical molecules change their twist number under the effect of a mechanical load. We study the twist-stretch relation for a set of short DNA molecules modeled by a mesoscopic Hamiltonian. Finite temperature path integral techniques are…

Soft Condensed Matter · Physics 2017-09-19 Marco Zoli

The twisting deformation of mechanically stretched DNA molecules is studied by a coarse grained Hamiltonian model incorporating the fundamental interactions that stabilize the double helix and accounting for the radial and angular base pair…

Soft Condensed Matter · Physics 2017-12-15 Marco Zoli

DNA supercoiling plays an important role in a variety of cellular processes. The torsional stress related with supercoiling may be also involved in gene regulation through the local structure and dynamics of the double helix. To check this…

Biomolecules · Quantitative Biology 2015-05-19 Alexey K. Mazur

Within a simple elastic theory, we study the elongation versus force characteristics of a supercoiled DNA molecule at thermal equilibrium in the regime of small supercoiling. The partition function is mapped to the path integral…

Soft Condensed Matter · Physics 2016-08-31 C. Bouchiat , M. Mezard

DNA supercoiling is central to many fundamental processes of living organisms. Its average level along the chromosome and over time reflects the dynamic equilibrium of opposite activities of topoisomerases, which are required to relax…

Biomolecules · Quantitative Biology 2023-10-09 Ivan Junier , Elham Ghobadpour , Olivier Espeli , Ralf Everaers

We study the effect of transcription on the kinetics of DNA supercoiling in 3D by means of Brownian dynamics simulations of a single nucleotide resolution coarse-grained model for double stranded DNA. By accounting for the action of a…

Biological Physics · Physics 2025-02-03 Y. A. G. Fosado , D. Michieletto , C. A. Brackley , D. Marenduzzo

A methodology for the statistical mechanical analysis of polymeric chains under tension introduced previously is extended to include torque. The response of individual bonds between monomers or of entire groups of monomers to a combination…

Soft Condensed Matter · Physics 2022-06-15 Aaron C. Meyer , Michael Karbach , Ping Lu , Gerhard Müller

We had combined the Neukirch-Marko model that describes the extension, torque and supercoiling in single, stretched and twisted DNA of infinite contour length, with a form of the free energy suggested by Sinha and Samuels to describe short…

Soft Condensed Matter · Physics 2017-11-22 Pui-Man Lam , Yi Zhen

Three coarse-grained models of the double-stranded DNA are proposed and compared in the context of mechanical manipulation such as twisting and various schemes of stretching. The models differ in the number of effective beads (between two…

Biomolecules · Quantitative Biology 2015-05-13 Szymon Niewieczerzał , Marek Cieplak

We perform simulations to numerically study the writhe distribution of a stiff polymer. We compare with analytic results of Bouchiat and Mezard (PRL 80 1556- (1998); cond-mat/9706050).

Soft Condensed Matter · Physics 2016-08-31 V. Rossetto , A. C. Maggs

The linking number (topological entanglement) and the writhe (geometrical entanglement) of a model of circular double stranded DNA undergoing a thermal denaturation transition are investigated by Monte Carlo simulations. By allowing the…

Statistical Mechanics · Physics 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

By combining analytical results and simulations of various coarse-grained models we investigate the minimal energy shape of DNA minicircles which are torsionally constrained by an imposed over or undertwist. We show that twist-bend…

Soft Condensed Matter · Physics 2019-08-08 Michele Caraglio , Enrico Skoruppa , Enrico Carlon

We reinvestigate the model originally studied by Neukirch and Marko that describes the extension, torque and supercoiling in single, stretched and twisted DNA molecules, which consists of a mixture of extended and supercoiled state, using…

Soft Condensed Matter · Physics 2016-06-02 Pui-Man Lam , Yi Zhen

The interplay between bending of the molecule axis and appearance of disruptions in circular DNA molecules, with $\sim 100$ base pairs, is addressed. Three minicircles with different radii and almost equal content of AT and GC pairs are…

Soft Condensed Matter · Physics 2014-06-03 Marco Zoli
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