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DNA nanocompartment is a typical DNA-based machine whose function is dependent of molecular collective effect. Fundamental properties of the device have been addressed via electrochemical analysis, fluorescent microscopy, and atomic force…

Biological Physics · Physics 2009-11-11 Song Chang , Youdong Mao , Zhengwei Xie , Chunxiong Luo , Qi Ouyang

Multistep denaturation in a short circular DNA molecule is analyzed by a mesoscopic Hamiltonian model which accounts for the helicoidal geometry. Computation of melting profiles by the path integral method suggests that stacking…

Soft Condensed Matter · Physics 2012-04-13 Marco Zoli

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

As a first step in the search of an analytical study of mechanical denaturation of DNA in terms of the sequence, we study stable, stationary solutions in the discrete, finite and homogeneous Peyrard-Bishop DNA model. We find and classify…

Other Quantitative Biology · Quantitative Biology 2009-11-11 Sara Cuenda , Angel Sanchez

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

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

Based on the direct method of molecular dynamics, the temperature dependence of energy, partition function, entropy and free energy, describing the first-order phase transition, is calculated for the classical Peyrard-Bishop-Dauxois model…

Statistical Mechanics · Physics 2024-05-16 Ilya V. Likhachev , Alexey S. Shigaev , Victor D. Lakhno

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

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

The local opening of DNA is an intriguing phenomenon from a statistical physics point of view, but is also essential for its biological function. For instance, the transcription and replication of our genetic code can not take place without…

Biological Physics · Physics 2009-11-13 Titus S. van Erp , Santiago Cuesta-Lopez , Michel Peyrard

The base pair fluctuations and helix untwisting are examined for a circular molecule. A realistic mesoscopic model including twisting degrees of freedom and bending of the molecular axis is proposed. The computational method, based on path…

Biomolecules · Quantitative Biology 2013-05-30 Marco Zoli

The imaginary time path integral formalism is applied to a nonlinear Hamiltonian for a short fragment of heterogeneous DNA with a stabilizing solvent interaction term. Torsional effects are modeled by a twist angle between neighboring base…

Biomolecules · Quantitative Biology 2011-09-19 Marco Zoli

We introduce a coarse-grained model of DNA with bases modeled as rigid-body ellipsoids to capture their anisotropic stereochemistry. Interaction potentials are all physicochemical and generated from all-atom simulation/parameterization with…

Soft Condensed Matter · Physics 2015-05-14 Alex Morriss-Andrews , Joerg Rottler , Steven S. Plotkin

Nucleic acids physical properties have been investigated by theoretical methods based both on fully atomistic representations and on coarse grained models, e.g. the worm-like-chain, taken from polymer physics. In this article, I present an…

Soft Condensed Matter · Physics 2022-09-13 Marco Zoli

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

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

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

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

In this paper, we present a coarse-grained model of DNA based on the soft ellipsoid contact potential (ECP) to evaluate the base pairing interaction properly. We extend the ellipsoid contact like potential model (ECP), suitably modified and…

Soft Condensed Matter · Physics 2026-02-10 Abhirup Das , Jayashree Saha

We investigate kinetic pathways of the DNA melting transition using variable-range versions of the Poland-Scheraga (PS) and Peyrard-Dauxois-Bishop (PDB) models of DNA. In the PS model, we construct a phi^4-field theory to calculate the…

Biological Physics · Physics 2013-03-29 Aaron Santos , William Klein