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In this Letter, we investigate the link between thermal denaturation and mechanical unzipping for two models of DNA, namely the Dauxois-Peyrard-Bishop model and a variant thereof we proposed recently. We show that the critical line that…

Biological Physics · Physics 2010-01-05 Sahin Buyukdagli , Marc Joyeux

The dynamics of the DNA denaturation is studied using the Peyrard-Bishop-Dauxois model. The denaturation rate of double stranded polymers decreases exponentially as function of length below the denaturation temperature. Above Tc, the rate…

Biological Physics · Physics 2015-06-04 Titus S. van Erp , Michel Peyrard

We study the thermal and mechanical behavior of DNA denaturation in the frame of the mesoscopic Peyrard- Bishop-Dauxois model with the inclusion of solvent interaction. By analyzing the melting transition of a homogeneous A-T sequence, we…

Biological Physics · Physics 2010-09-29 Rafael Tapia-Rojo , Juan J. Mazo , Fernando Falo

The effect of heterogeneous sequence composition on the denaturation of double stranded DNA is investigated. The resulting pair-binding energy variation is found to have a negligible effect on the critical properties of the smooth second…

Statistical Mechanics · Physics 2009-10-30 D. Cule , T. Hwa

A simple Langevin approach is used to study stationary properties of the Peyrard-Bishop-Dauxois model for DNA, allowing known properties to be recovered in an easy way. Results are shown for the denaturation transition in homogeneous…

Soft Condensed Matter · Physics 2009-11-13 Francisco de los Santos , Omar Al Hammal , Miguel Angel Munoz

We present detailed molecular dynamics results for the displacement autocorrelation spectra of the Peyrard-Bishop model of thermal DNA denaturation. As the phase transition is approached, the spectra depend on whether the wavelength is…

Statistical Mechanics · Physics 2007-05-23 N. Theodorakopoulos , M. Peyrard , T. Dauxois

The melting transition of deoxyribonucleic acid (DNA), whereby the strands of the double helix structure completely separate at a certain temperature, has been characterized using neutron scattering. A Bragg peak from B-form fibre DNA has…

Unbinding of a double-stranded DNA reduces to an unscreened long range interaction and maps on various problems. Heterogeneity renormalizes interaction. Renormalization is temperature dependent. At an unbinding transition it approaches…

Statistical Mechanics · Physics 2007-05-23 Mark Ya. Azbel'

The hypothesis that phase transitions originate from some topological change of the critical level hypersurface of the potential energy receives direct evident support by our study of the Bishop--Peyrard model of DNA thermal denaturation.

Statistical Mechanics · Physics 2016-08-31 Paolo Grinza , Alessandro Mossa

The phase transition of $(PolyA/PolyT)_{100}$ duplex into the denaturated state is studied in the Peyrard-Bishop-Dauxois model by the method of direct molecular-dynamical modeling. The temperature dependencies of the total energy and heat…

Soft Condensed Matter · Physics 2020-02-04 I. V. Likhachev , V. D. Lakhno

The Peyrard-Bishop-Dauxois (PBD) model of DNA denaturation, although successful in the description of melting profiles, fails to predict melting entropies, unzipping forces and dynamical properties, e.g. hairpin dynamics. The paper presents…

Biological Physics · Physics 2026-04-28 Nikos Theodorakopoulos

The equilibrium statistical properties of DNA denaturation bubbles are examined in detail within the framework of the Peyrard-Bishop-Dauxois model. Bubble formation in homogeneous DNA is found to depend crucially on the presence of…

Statistical Mechanics · Physics 2008-03-26 Nikos Theodorakopoulos

We studied how the inhomogeneity of a sequence affects the phase transition that takes place at DNA melting. Unlike previous works, which considered thermodynamic quantities averaged over many different inhomogeneous sequences, we focused…

Biological Physics · Physics 2008-03-07 Sahin Buyukdagli , Marc Joyeux

The thermodynamical properties of heterogeneous DNA sequences are computed by path integral techniques applied to a nonlinear model Hamiltonian. The base pairs relative displacements are interpreted as time dependent paths whose amplitudes…

Statistical Mechanics · Physics 2010-05-12 Marco Zoli

In this paper, we show that the coarse grain model for DNA, which has been proposed recently by Knotts, Rathore, Schwartz and de Pablo (J. Chem. Phys. 126, 084901 (2007)), can be adapted to describe the thermal and mechanical denaturation…

Biological Physics · Physics 2011-08-30 Ana-Maria Florescu , Marc Joyeux

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

Experimental studies of the thermal denaturation of DNA yield a strong indication that the transition is first order. This transition has been theoretically studied since the early sixties, mostly within an approach in which the microscopic…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , D. Mukamel , L. Peliti

For the DNA denaturation transition in the presence of random contact energies, or equivalently the disordered wetting transition, we introduce a Strong Disorder Renewal Approach to construct the optimal contacts in each disordered sample…

Disordered Systems and Neural Networks · Physics 2017-01-23 Cecile Monthus

The impact of various types of external potentials to the Peyrard-Bishop DNA denaturation is investigated through statistical mechanics approach. The partition function is obtained using transfer integral method, and further the stretching…

Biological Physics · Physics 2012-06-22 A. Sulaiman , F. P. Zen , H. Alatas , L. T. Handoko

We recently proposed a dynamical mesoscopic model for DNA, which is based, like statistical ones, on site-dependent finite stacking and pairing enthalpies. In the present article, we first describe how the parameters of this model are…

Biological Physics · Physics 2009-01-14 Marc Joyeux , Ana-Maria Florescu
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