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We present a precise equivalence of the Lifson-Poland-Scheraga model with wetting models. Making use of a representation of the former model in terms of random matrices, we obtain, in the limit of weak disorder, a mean--field approximation,…

Statistical Mechanics · Physics 2015-06-05 Hervé Kunz , Roberto Livi

The hybridization and dehybridization of DNA subject to tension is relevant to fundamental genetic processes and to the design of DNA-based mechanobiology assays. While strong tension accelerates DNA melting and decelerates DNA annealing,…

Biological Physics · Physics 2022-04-20 Derek J. Hart , Jiyoun Jeong , James C. Gumbart , Harold D. Kim

We study pairs of interacting self-avoiding walks on the 3d simple cubic lattice. They have a common origin and are allowed to overlap only at the same monomer position along the chain. The latter overlaps are indeed favored by an energetic…

Soft Condensed Matter · Physics 2009-10-31 Maria Serena Causo , Barbara Coluzzi , Peter Grassberger

We present a generic model for DNA at the base-pair level. We use a variant of the Gay-Berne potential to represent the stacking energy between neighboring base-pairs. The sugar-phosphate backbones are taken into account by semi-rigid…

Soft Condensed Matter · Physics 2009-11-10 Boris Mergell , Mohammad R. Ejtehadi , Ralf Everaers

Motivated by recent DNA-pulling experiments, we revisit the Poland-Scheraga model of melting a double-stranded polymer. We include distinct bending rigidities for both the double-stranded segments, and the single-stranded segments forming a…

Soft Condensed Matter · Physics 2008-11-13 Sahand Jamal Rahi , Mark Peter Hertzberg , Mehran Kardar

We introduce a sequence-dependent parametrization for a coarse-grained DNA model [T. E. Ouldridge, A. A. Louis, and J. P. K. Doye, J. Chem. Phys. 134, 085101 (2011)] originally designed to reproduce the properties of DNA molecules with…

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

Genomic DNA is constantly subjected to various mechanical stresses arising from its biological functions and cell packaging. If the local mechanical properties of DNA change under torsional and tensional stress, the activity of…

Biomolecules · Quantitative Biology 2015-05-28 Alexey K. Mazur

A versatile approach to modeling the conformations and energetics of DNA loops is presented. The model is based on the classical theory of elasticity, modified to describe the intrinsic twist and curvature of DNA, the DNA bending…

Biological Physics · Physics 2007-05-23 Alexander Balaeff , L. Mahadevan , Klaus Schulten

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

The folding angle distribution of stretched and negatively supercoiled DNA double-helix is investigated based on a theoretical model we proposed earlier [H. Zhou et al., Phys. Rev. Lett. 82, 4560 (1999)]. It is shown that pulling can…

Soft Condensed Matter · Physics 2007-05-23 Zhou Haijun , Ou-Yang Zhong-can

In this paper, we show that the coarse grain model for DNA, which has been proposed recently by Knotts, Rathore, Schwartz and de Pablo (J. Chem. Phys. 126, 084901 (2007)), can be adapted to describe the thermal and mechanical denaturation…

Biological Physics · Physics 2011-08-30 Ana-Maria Florescu , Marc Joyeux

Bending of DNA from a straight rod to a circular form in presence of any of the mono-, di-, tri- or tetravalent counterions has been simulated in strong Coulomb coupling environment employing a previously developed energy minimization…

Biological Physics · Physics 2015-05-28 Arup K. Mukherjee

We compare results of previous simulations of a simple model of DNA denaturation to the predictions of the Poland-Scheraga model. Concentrating on the critical region of the latter model we calculate both thermodynamic quantities and the…

Statistical Mechanics · Physics 2007-05-23 Lothar Schäfer

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

We propose a stochastic model for gene transcription coupled to DNA supercoiling, where we incorporate the experimental observation that polymerases create supercoiling as they unwind the DNA helix, and that these enzymes bind more…

Biological Physics · Physics 2018-04-16 C. A. Brackley , J. Johnson , A. Bentivoglio , S. Corless , N. Gilbert , G. Gonnella , D. Marenduzzo

A statistical model of homopolymer DNA, coupling internal base pair states (unbroken or broken) and external thermal chain fluctuations, is exactly solved using transfer kernel techniques. The dependence on temperature and DNA length of the…

Soft Condensed Matter · Physics 2007-08-29 J. Palmeri , M. Manghi , N. Destainville

This paper aims at a comprehensive understanding on the novel elastic property of double-stranded DNA (dsDNA) discovered very recently through single-molecule manipulation techniques. A general elastic model for double-stranded biopolymers…

Soft Condensed Matter · Physics 2009-10-31 Haijun Zhou , Yang Zhang , Zhong-can Ou-Yang

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

We introduce a model of thermalized conformations in space of RNA -or single stranded DNA- molecules, which includes the possibility of hairpin formation. This model contains the usual secondary structure information, but extends it to the…

Soft Condensed Matter · Physics 2007-05-23 Andrea Montanari , Marc Mezard