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Single molecule experiments on single- and double stranded DNA have sparked a renewed interest in the force-extension of polymers. The extensible Freely Jointed Chain (FJC) model is frequently invoked to explain the observed behavior of…

Biological Physics · Physics 2009-11-07 Cornelis Storm , Philip Nelson

Circular double stranded DNA has different topological states which are defined by their linking numbers. Equilibrium distribution of linking numbers can be obtained by closing a linear DNA into a circle by ligase. Using Monte Carlo…

Biomolecules · Quantitative Biology 2009-05-04 Hu Chen , Yanhui Liu , Zhen Zhou , Lin Hu , Zhong-Can Ou-Yang , Jie Yan

Minuscule molecular forces can transform DNA into a structure that is elongated by more than half its original length. We demonstrate that this pronounced conformational transition is of relevance to ongoing experimental and theoretical…

Materials Science · Physics 2010-07-06 Paul Maragakis , Ryan Lee Barnett , Efthimios Kaxiras , Marcus Elstner , Thomas Frauenheim

We present a simple model which describes elastic response of single-stranded DNA (ssDNA) to stretching, including the regime of very high force (up to 1000 pN). ssDNA is modelled as a discreet persistent chain, whose ground state is a…

Biomolecules · Quantitative Biology 2009-11-13 Alexei V. Tkachenko

Single molecule DNA experiments often generate data from force versus extension measurements involving the tethering of a microsphere to one end of a single DNA molecule while the other is attached to a substrate. We show that the…

Biological Physics · Physics 2015-06-26 Jose Coelho Neto , Ronald Dickman , O. N. Mesquita

Modern genomics experiments measure functional behaviors for many thousands of DNA sequences. We suggest that, especially when these sequences are chosen at random, it is natural to compute correlation functions between sequences and…

Biological Physics · Physics 2020-12-14 Yaojun Zhang , Aakash Basu , Taekjip Ha , William Bialek

The two strands of a DNA molecule with a repetitive sequence can pair into many different basepairing patterns. For perfectly periodic sequences, early bulk experiments of Poerschke indicate the existence of a sliding process, permitting…

Biomolecules · Quantitative Biology 2007-05-23 Richard A. Neher , Ulrich Gerland

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

We present an atomic scale theory of lattice distortions using strain related variables and their constraint equations. Our approach connects constrained atomic length scale variations to continuum elasticity and describes elasticity at all…

Superconductivity · Physics 2009-11-10 K. H. Ahn , Jian-Xin Zhu , Z. Nussinov , T. Lookman , A. Saxena , A. V. Balatsky , A. R. Bishop

The sequence-dependent structural variability and conformational dynamics of DNA play pivotal roles in many biological milieus, such as in the site-specific binding of transcription factors to target regulatory elements. To better…

Biomolecules · Quantitative Biology 2014-07-22 Cameron Mura , J. Andrew McCammon

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

Understanding the relationship between the microscopic structure and topology of a material and its macroscopic properties is a fundamental challenge across a wide range of systems. Here, we investigate the viscoelasticity of DNA nanostar…

Soft Condensed Matter · Physics 2025-02-03 Giorgia Palombo , Simon Weir , Davide Michieletto , Yair Augusto Gutierrez Fosado

We report model calculations on DNA single strands which describe the equilibrium dynamics and kinetics of hairpin formation and melting. Modeling is at the level of single bases. Strand rigidity is described in terms of simple polymer…

Soft Condensed Matter · Physics 2007-10-01 Jalal Errami , Michel Peyrard , Nikos Theodorakopoulos

Using a theoretical model for spontaneous partial DNA unwrapping from histones, we study the transient exposure of protein-binding DNA sites within nucleosomes. We focus on the functional dependence of the rates for site exposure and…

Subcellular Processes · Quantitative Biology 2007-08-21 Wolfram Mobius , Richard A. Neher , Ulrich Gerland

The symmetries of the DNA double helix require a new term in its linear response to stress: the coupling between twist and stretch. Recent experiments with torsionally-constrained single molecules give the first direct measurement of this…

Soft Condensed Matter · Physics 2009-10-28 Randall D. Kamien , Tom C. Lubensky , Philip Nelson , Corey S. O'Hern

Coupling between axial and torsional degrees of freedom often modifies the conformation and expression of natural and synthetic filamentous aggregates. Recent studies on chiral single-walled carbon nanotubes and B-DNA reveal a reversal in…

Materials Science · Physics 2007-09-06 M. Upmanyu , H. L. Wang , H. Y. Liang , R. Mahajan

Charge diffusion through desoxyribonucleic acid (DNA) is a physico-chemical phenomenon that on the one hand is being explored for technological purposes, on the other hand is applied by nature for various informational processes in life.…

Biological Physics · Physics 2024-07-22 Mirko Rossini , Ole Ammerpohl , Reiner Siebert , Joachim Ankerhold

We investigate the nonlinear dynamics of a damped Peyrard-Bishop DNA model taking into account long-range interactions with distance dependence |l|^-s on the elastic coupling constant between different DNA base pairs. Considering both…

Biological Physics · Physics 2017-07-12 J. Brizar Okaly , Alain Mvogo , R. Laure Woulaché , T. Crépin Kofané

Elastic network models, simple structure-based representations of biomolecules where atoms interact via short-range harmonic potentials, provide great insight into a molecule's internal dynamics and mechanical properties at extremely low…

Soft Condensed Matter · Physics 2018-12-12 Patrick Diggins , Changjiang Liu , Markus Deserno , Raffaello Potestio

For an understanding of DNA elasticity at high mechanical loads (F > 30 pN), its helical nature needs to be taken into account, in the form of coupling between the twist and stretch degrees of freedom. The prevailing model for DNA…

Biological Physics · Physics 2016-06-29 Onno D. Broekmans , Graeme A. King , Greg J. Stephens , Gijs J. L. Wuite