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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

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

The impact of damping effect and external forces to the DNA breathing is investigated within the Peyrard-Bishop model. In in the continuum limit, the dynamics of the breathing of DNA is described by the forced-damped nonlinear Schrodinger…

Biological Physics · Physics 2012-08-14 A. Sulaiman , F. P. Zen , H. Alatas , L. T. Handoko

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 discuss the effects of external stress on the thermal denaturation of homogeneous DNA. Pulling double-stranded DNA at each end exerts a profound effect on the thermal denaturation, or melting, of a long segment of this molecule. We…

Soft Condensed Matter · Physics 2009-11-13 Joseph Rudnick , Tatiana Kuriabova

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 defects on the melting profile of short heterogeneous DNA chains are calculated using the Peyrard-Bishop Hamiltonian. The on-site potential on a defect site is represented by a potential which has only the short-range…

Statistical Mechanics · Physics 2009-11-07 Navin Singh , Yashwant Singh

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

The statistical physics of homogeneous DNA is investigated by the imaginary time path integral formalism. The base pair stretchings are described by an ensemble of paths selected through a macroscopic constraint, the fulfillement of the…

Statistical Mechanics · Physics 2009-04-30 Marco Zoli

A statistical model of homopolymer DNA, coupling internal base pair states (unbroken or broken) and external thermal chain fluctuations, is exactly solved using transfer kernel techniques. The dependence on temperature and DNA length of the…

Soft Condensed Matter · Physics 2007-08-29 J. Palmeri , M. Manghi , N. Destainville

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 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

Double stranded DNA chain is known to have nontrivial elasticity. We study the effect of this elasticity on the denaturation profile of DNA oligomer by constraining one base pair at one end of the oligomer to remain in unstretched (or…

Soft Condensed Matter · Physics 2007-05-23 Navin Singh , Yashwant Singh

We generalize the Poland-Scheraga model to consider DNA denaturation in the presence of an external stretching force. We demonstrate the existence of a force-induced DNA denaturation transition and obtain the temperature-force phase…

Soft Condensed Matter · Physics 2009-11-13 Andreas Hanke , Martha G. Ochoa , Ralf Metzler

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…

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 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

We report on the nature of the thermal denaturation transition of homogeneous DNA as determined from a renormalisation group analysis of the Peyrard-Bishop-Dauxois model. Our approach is based on an analogy with the phenomenon of critical…

Statistical Mechanics · Physics 2015-05-18 Jose Manuel Romero-Enrique , Francisco de los Santos , Miguel A. Munoz

A unifying theory of the denaturation transition of DNA, driven by temperature T or induced by an external mechanical torque Gamma is presented. Our model couples the hydrogen-bond opening and the untwisting of the helicoidal molecular…

Statistical Mechanics · Physics 2009-10-31 Simona Cocco , Remi Monasson

As sections of a strand duplexed DNA denature when exposed to high temperature, the excess linking number is taken up by the undenatured portions of the molecule. The mechanical energy that arises because of the overwinding of the…

Soft Condensed Matter · Physics 2009-11-07 Joseph Rudnick , Robijn Bruinsma
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