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This article proposes a model including thermal effects for closed supercoiled DNA. Existing models include an elastic rod. Euler's elastica, ideal elastic rods on a plane, have only two kinds of closed shapes, the circle and a…

Soft Condensed Matter · Physics 2022-01-05 Shigeki Matsutani , Emma Previato

We investigate the kinetics of the DNA melting transition using modified versions of the Peyrard-Dauxois-Bishop and Poland-Scheraga models that include long and short range interactions. Using Brownian dynamics and Monte Carlo simulations,…

Other Condensed Matter · Physics 2007-05-23 Aaron Santos , William Klein

We propose a dynamical model for the secondary structure of DNA, which is based on the finite stacking enthalpies used in thermodynamics calculations. In this model, the two strands can separate and the bases are allowed to rotate…

Biological Physics · Physics 2016-08-16 Sahin Buyukdagli , Michaël Sanrey , Marc Joyeux

Twisting DNA under a constant applied force reveals a thermally activated transition into a state with a supercoiled structure known as a plectoneme. Using transition state theory, we predict the rate of this plectoneme nucleation to be of…

Biological Physics · Physics 2015-03-17 Bryan C. Daniels , James P. Sethna

Metropolis Monte Carlo simulation is used to investigate the elasticity of torsionally stressed double-stranded DNA, in which twist and supercoiling are incorporated as a natural result of base-stacking interaction and backbone bending…

Biological Physics · Physics 2009-10-31 Zhang Yang , Zhou Haijun , Ouyang Zhongcan

In the framework of the Poland Scheraga model of DNA denaturation, we derive a recursion relation for the partition function of double stranded DNA, allowing for mismatches between the two strands. This relation is studied numerically using…

Soft Condensed Matter · Physics 2007-05-23 T. Garel , H. Orland

We deduced the torque applied on a single stretched and twisted DNA by integrating with respect to force the change in the molecule's extension as it is coiled. While consistent with previous direct measurements of the torque at high forces…

Soft Condensed Matter · Physics 2008-09-04 Francesco Mosconi , Jean-François Allemand , David Bensimon , Vincent Croquette

A dynamical model is presented for chiral change in DNA molecules. The model is an extension of the conventional elastic model which incorporates the structure of base pairs and uses a spinor representation for the DNA configuration…

Biological Physics · Physics 2011-10-06 Teruaki Okushima , Hiroshi Kuratsuji

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 study numerically the effect of sequence heterogeneity on the thermodynamic properties of a Poland-Scheraga model for DNA denaturation taking into account self-avoidance, i.e. with exponent c_p=2.15 for the loop length probability…

Disordered Systems and Neural Networks · Physics 2016-05-06 Barbara Coluzzi , Edouard Yeramian

We study theoretically the mechanical failure of a simple model of double stranded DNA under an applied shear. Starting from a more microscopic Hamiltonian that describes a sheared DNA, we arrive at a nonlinear generalization of a ladder…

Soft Condensed Matter · Physics 2009-04-13 Buddhapriya Chakrabarti , David R. Nelson

This paper presents a numerical study of the dynamics of DNA double helix breakage under the influence of external forces using the Peyrard-Bishop-Dauxois (PBD) model. The PBD model represents DNA as a chain of nonlinearly coupled…

Biological Physics · Physics 2026-01-23 I. V. Likhachev , V. D. Lakhno

DNA supercoiling, the under or overwinding of DNA, is a key physical mechanism both participating to compaction of bacterial genomes and making genomic sequences adopt various structural forms. DNA supercoiling may lead to the formation of…

Biological Physics · Physics 2019-06-26 Thibaut Lepage , Ivan Junier

Double-stranded DNA `overstretches' at a pulling force of about 65 pN, increasing in length by a factor of 1.7. The nature of the overstretched state is unknown, despite its considerable importance for DNA's biological function and…

Statistical Mechanics · Physics 2009-11-13 Stephen Whitelam , Sander Pronk , Phillip L. Geissler

Mechanical properties of DNA, in particular their stretch dependent extension and their loop formation characteristics, have been recognized as an effective probe for understanding the possible biochemical role played by them in a living…

Soft Condensed Matter · Physics 2015-06-04 Kulveer Singh , Surya K. Ghosh , Sanjay Kumar , Anirban Sain

The distance distribution between complementary base pairs of the two strands of a DNA molecule is studied near the melting transition. Scaling arguments are presented for a generalized Poland-Scheraga type model which includes…

Statistical Mechanics · Physics 2009-11-07 M. Baiesi , E. Carlon , Y. Kafri , D. Mukamel , E. Orlandini , A. L. Stella

The thermodynamic properties of DNA circular molecules are investigated by a new path integral computational method which treats in the real space the fundamental forces stabilizing the molecule. The base pair and stacking contributions to…

Soft Condensed Matter · Physics 2014-11-11 Marco Zoli

We explore in detail the structural, mechanical and thermodynamic properties of a coarse-grained model of DNA similar to that introduced in Thomas E. Ouldridge, Ard A. Louis, Jonathan P.K. Doye, Phys. Rev. Lett. 104 178101 (2010). Effective…

Biomolecules · Quantitative Biology 2013-06-25 Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

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

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