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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

Single-molecule experiments in which force is applied to DNA or RNA molecules have enabled important discoveries of nucleic acid properties and nucleic acid-enzyme interactions. These experiments rely on a model of the polymer…

Biological Physics · Physics 2011-11-09 Jinyu Li , Philip C. Nelson , M. D. Betterton

DNA and other biopolymers differ from classical polymers due to their torsional stiffness. This property changes the statistical character of their conformations under tension from a classical random walk to a problem we call the `torsional…

Soft Condensed Matter · Physics 2009-10-30 J. David Moroz , Philip Nelson

Single-molecule stretching experiments on DNA, RNA, and other biological macromolecules opened up the possibility of an impressive progress in many fields of Life and Medical sciences. The reliability of such experiments may be crucially…

Soft Condensed Matter · Physics 2019-03-22 G. Florio , G Puglisi

We present an extensive theoretical investigation of the mechanical unzipping of double-stranded DNA under the influence of an applied force. In the limit of long polymers, there is a thermodynamic unzipping transition at a critical force…

Soft Condensed Matter · Physics 2009-11-07 David K. Lubensky , David R. Nelson

Single-molecule stretching experiments are widely utilized within the fields of physics and chemistry to characterize the mechanics of individual bonds or molecules, as well as chemical reactions. Analytic relations describing these…

Statistical Mechanics · Physics 2024-01-10 Michael R. Buche , Jessica M. Rimsza

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

The influence of decoherence and bonding on the linear conductance of single double-stranded DNA molecules is examined by fitting a phenomenological statistical model developed recently (EPJB {\bf 68}, 237 (2009)) to experimental results.…

Soft Condensed Matter · Physics 2010-09-30 M. Zilly , O. Ujsaghy , D. E. Wolf

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

Single molecule experiments on B-DNA stretching have revealed one or two structural transitions, when increasing the external force. They are characterized by a sudden increase of DNA contour length and a decrease of the bending rigidity.…

Soft Condensed Matter · Physics 2012-10-25 Manoel Manghi , Nicolas Destainville , John Palmeri

We study the influence of some quenched disorder in the sequence of monomers on the entropic elasticity of long polymeric chains. Starting from the Kratky-Porod model, we show numerically that some randomness in the favoured angles between…

Statistical Mechanics · Physics 2009-10-30 D. Bensimon , D. Dohmi , M. Mezard

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

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

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

The response of a semiflexible polyelectrolyte chain to stretching in the regimes of moderate and weak screening is studied theoretically, with a special focus on DNA experiments. By using the nonlinear Poisson--Boltzmann description of…

Soft Condensed Matter · Physics 2007-05-23 Alexei V. Tkachenko

Langevin Dynamics simulations of polymer translocation are performed where the polymer is stretched via two opposing forces applied on the first and last monomer before and during translocation. In this setup, polymer translocation is…

Soft Condensed Matter · Physics 2018-08-08 Hendrick W. de Haan , David Sean , Gary W. Slater

Trapping, linearization, and imaging of single molecule DNA is of broad interest to both biophysicists who study polymer physics and engineers who build nucleic acid analyzing methods such as optical mapping. In this study, single DNA…

The aim of the present paper is the study of the entropic elasticity of the dsDNA molecule, having a cristallographic length L of the order of 10 to 30 persistence lengths A, when it is subject to spatial obstructions. We have not tried to…

Soft Condensed Matter · Physics 2009-11-11 C. Bouchiat

At present, there have been suggested two types of physical mechanism that may facilitate preferential pairing between DNA molecules, with identical or similar base pair texts, without separation of base pairs. One solely relies on base…

Biological Physics · Physics 2017-11-06 Dominic. J. , Lee

We calculate the equation of state of DNA under tension for the case that the DNA features loops. Such loops occur transiently during DNA condensation in the presence of multivalent ions or sliding cationic protein linkers. The…

Biomolecules · Quantitative Biology 2007-05-23 I. M. Kulic , H. Mohrbach , R. Thaokar , H. Schiessel