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DNA bending on length scales shorter than a persistence length plays an integral role in the translation of genetic information from DNA to cellular function. Quantitative experimental studies of these biological systems have led to a…

Soft Condensed Matter · Physics 2009-11-11 Paul A. Wiggins , Philip C. Nelson

Recently Storm and Nelson [1] (Phys.Rev. E67, 51906 (2003)) introduced the discrete persistent chain model which contains both features of the freely jointed chain (FJC) and the wormlike chain (WLC) models. Equation (20) of their paper is…

Soft Condensed Matter · Physics 2009-11-10 Pui-Man Lam

The theory of elastic rods can be used to describe certain geometric and topological properties of the DNA molecules. A similar effective field theory approach was previously suggested to describe the conformations and dynamics of proteins.…

Biomolecules · Quantitative Biology 2019-09-04 Dmitry Melnikov , Alyson B. F. Neves

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

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

We report studies of the equilibrium and the dynamics of a general set of lattice models which capture the essence of the force-induced or mechanical DNA unzipping transition. Besides yielding the whole equilibrium phase diagram in the…

Soft Condensed Matter · Physics 2009-11-07 D. Marenduzzo , S. M. Bhattacharjee , A. Maritan , E. Orlandini , F. Seno

It is well-established that many physical properties of DNA at sufficiently long length scales can be understood by means of simple polymer models. One of the most widely used elasticity models for DNA is the twistable worm-like chain…

Biomolecules · Quantitative Biology 2017-06-12 Enrico Skoruppa , Michiel Laleman , Stefanos Nomidis , Enrico Carlon

The double-helical structure of DNA results from canonical base pairing and stacking interactions. However, variations from steady-state conformations result from mechanical perturbations in cells. These different topologies have…

Biomolecules · Quantitative Biology 2019-04-05 Jack W Shepherd , Robert J Greenall , Matt I J Probert , Agnes Noy , Mark C Leake

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

By exploring a recent model [Palmeri, J., M. Manghi, and N. Destainville. 2007. Phys. Rev. Lett. 99:088103] where DNA bending elasticity, described by the wormlike chain model, is coupled to base-pair denaturation, we demonstrate that small…

Statistical Mechanics · Physics 2010-06-22 Nicolas Destainville , Manoel Manghi , John Palmeri

We study a model describing the force-extension curves of modular proteins, nucleic acids, and other biomolecules made out of several single units or modules. At a mesoscopic level of description, the configuration of the system is given by…

Statistical Mechanics · Physics 2016-10-19 L. L. Bonilla , A. Carpio , A. Prados

A double stranded DNA molecule under the stress of a pulling force acting on the strand terminals exhibits a partially denatured structure or can be completely unzipped depending the magnitude of the pulling force. A scaling argument for…

Statistical Mechanics · Physics 2009-09-25 Jeff Z. Y. Chen

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

Mechanical properties of nucleic acids play an important role in many biological processes which often involve physical deformations of these molecules. At sufficiently long length scales (say above $\sim 20-30$ base pairs) the mechanics of…

Statistical Mechanics · Physics 2022-08-12 Midas Segers , Aderik Voorspoels , Takahiro Sakaue , Enrico Carlon

While stretching of most polymer chains leads to rather featureless force-extension diagrams, some, notably DNA, exhibit non-trivial behavior with a distinct plateau region. Here we propose a unified theory that connects force-extension…

Mesoscale and Nanoscale Physics · Physics 2013-02-26 Alexander V. Savin , Mikhail A. Mazo , Irina P. Kikot , Alexey V. Onufriev

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

DNA is structurally and mechanically altered by the binding of intercalator molecules. Intercalation strongly affects the force-extension behavior of DNA, in particular the overstretching transition. We present a statistical model that…

The probability distributions for bending angles in double helical DNA obtained in all-atom molecular dynamics simulations are compared with theoretical predictions. The computed distributions remarkably agree with the worm-like chain…

Biomolecules · Quantitative Biology 2009-11-13 Alexey K. Mazur

We report a theoretical study of DNA flexibility and quantitatively predict the ring closure probability as a function of DNA contour length. Recent experimental studies show that the flexibility of short DNA fragments (as compared to the…

Soft Condensed Matter · Physics 2013-10-01 Xinliang Xu , Beng Joo Reginald , Jianshu Cao

We study the static and dynamical properties of DNA in the vicinity of its melting transition, i.e. the separation of the two strands upon heating. The investigation is based on a simple mechanical model which includes the helicoidal…

Statistical Mechanics · Physics 2007-06-19 Maria Barbi , Stefano Lepri , Michel Peyrard , Nikos Theodorakopoulos