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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

We present a nonlinear dynamical model for DNA thermal denaturation, which is based on the finite stacking enthalpies used in thermodynamical nearest-neighbour calculations. Within this model, the finiteness of stacking enthalpies is shown…

Biological Physics · Physics 2007-05-23 Marc Joyeux , Sahin Buyukdagli

A mesoscopic model for heterogeneous DNA denaturation is developed in the framework of the path integral formalism. The base pair stretchings are treated as one-dimensional, time dependent paths contributing to the partition function. The…

Soft Condensed Matter · Physics 2011-07-12 Marco Zoli

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

We show that a mesoscale model, with a minimal number of parameters, can well describe the thermomechanical and mechanochemical behavior of homogeneous DNA at thermal equilibrium under tension and torque. We predict critical temperatures…

Biomolecules · Quantitative Biology 2015-06-22 Cristiano Nisoli , A. R. Bishop

The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other…

Biomolecules · Quantitative Biology 2020-07-16 Mateus Rodrigues Leal , Gerald Weber

DNA denaturation has long been a subject of intense study due to its relationship to DNA transcription and its fundamental importance as a nonlinear, structural transition. Many aspects of this phenomenon, however, remain poorly understood.…

Mesoscale and Nanoscale Physics · Physics 2011-06-16 Kirill A. Velizhanin , Chih-Chun Chien , Yonatan Dubi , Michael Zwolak

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

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 propose a statistical mechanics model for DNA melting in which base stacking and pairing are explicitly introduced as distinct degrees of freedom. Unlike previous approaches, this model describes thermal denaturation of DNA secondary…

Statistical Mechanics · Physics 2007-05-23 Vassili Ivanov , Yan Zeng , Giovanni Zocchi

By extending the classical Peyrard-Bishop model, we are able to obtain a fully analytical description for the mechanical resistance of DNA under stretching at variable values of temperature, number of base pairs and intrachains and…

Soft Condensed Matter · Physics 2022-07-20 G. Florio , G. Puglisi

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

We use a statistical mechanical model to study nonthermal denaturation of DNA in the presence of protein-mediated loops. We find that looping proteins which randomly link DNA bases located at a distance along the chain could cause a…

Soft Condensed Matter · Physics 2009-12-22 K. G. Petrosyan , Chin-Kun Hu

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

The computational modelling of DNA is becoming crucial in light of new advances in DNA nanotechnology, single-molecule experiments and in vivo DNA tampering. Here we present a mesoscopic model for double stranded DNA (dsDNA) at the single…

Soft Condensed Matter · Physics 2025-02-03 Y. A. G. Fosado , D. Michieletto , J. Allan , C. Brackley , O. Henrich , D. Marenduzzo

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

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

The approach for the description of the DNA conformational transformations on the mesoscopic scales in the frame of the double helix is presented. Due to consideration of the joint motions of DNA structural elements along the conformational…

Biomolecules · Quantitative Biology 2009-09-29 S. N. Volkov

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

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
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