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DNA cyclization is a powerful technique to gain insight into the nature of DNA bending. The worm-like chain model provides a good description of small to moderate bending fluctuations, but some experiments on strongly-bent shorter molecules…

Biomolecules · Quantitative Biology 2021-12-03 Ryan M. Harrison , Flavio Romano , Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We calculate the probability of DNA loop formation mediated by regulatory proteins such as Lac repressor (LacI), using a mathematical model of DNA elasticity. Our model is adapted to calculating quantities directly observable in Tethered…

Biomolecules · Quantitative Biology 2009-11-13 Kevin B. Towles , John F. Beausang , Hernan G. Garcia , Rob Phillips , Philip C. Nelson

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

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

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

Many structures inside the cell such as nucleosomes and protein-mediated DNA loops contain sharply bent double-stranded (ds) DNA. Therefore, the energetics of strong dsDNA bending constitutes an essential part of cellular thermodynamics.…

Biological Physics · Physics 2014-11-05 Tung T. Le , Harold D. Kim

The strong bending of polymers is poorly understood. We propose a general quantitative framework of polymer bending that includes both the weak and strong bending regimes on the same footing, based on a single general physical principle. As…

Biological Physics · Physics 2019-12-04 Aleksander V. Drozdetski , Abhishek Mukhopadhyay , Alexey V. Onufriev

Many proteins interact with and deform double-stranded DNA in cells. Single-molecule experiments have studied the elasticity of DNA with helix-deforming proteins, including proteins that bend DNA. These experiments increase the need for…

Biological Physics · Physics 2007-05-23 Jinyu Li , Philip C. Nelson , M. D. Betterton

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

The sequence-dependent elasticity of double-helical DNA on a nm length scale can be captured by the rigid base-pair model, whose strains are the relative position and orientation of adjacent base-pairs. Corresponding elastic potentials have…

Biomolecules · Quantitative Biology 2013-05-29 Nils B. Becker , Ralf Everaers

In this paper we consider the anharmonic corrections to the anisotropic elastic rod model for DNA. Our model accounts for the difference between the bending energies of positive and negative rolls, which comes from the asymmetric structure…

Soft Condensed Matter · Physics 2009-04-28 B. Eslami-Mossallam , M. R. Ejtehadi

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

The propensity of short DNA sequences to convert to the circular form is studied by a mesoscopic Hamiltonian method which incorporates both the bending of the molecule axis and the intrinsic twist of the DNA strands. The base pair…

Soft Condensed Matter · Physics 2016-06-07 Marco Zoli

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

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

We develop a continuum elastic approach to examining the bending mechanics of semiflexible filaments with a local internal degree of freedom that couples to the bending modulus. We apply this model to study the nonlinear mechanics of a…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Alex J. Levine

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

We have developed a generalized semi-analytic approach for efficiently computing cyclization and looping $J$ factors of DNA under arbitrary binding constraints. Many biological systems involving DNA-protein interactions impose precise…

Biomolecules · Quantitative Biology 2015-05-14 David P. Wilson , Alexei V. Tkachenko , Jens-Christian Meiners

DNA stretching experiments are usually interpreted using the worm-like chain model; the persistence length A appearing in the model is then interpreted as the elastic stiffness of the double helix. In fact the persistence length obtained by…

Soft Condensed Matter · Physics 2009-10-30 Philip Nelson

A revised Marko-Siggia elastic model for DNA double helix [Macromolecules 27, 981 (1994)] is proposed, which includes the WLC bending energy and a new chiral twisting energy term. It is predicted that the mean helical repeat length (HRL)…

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