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We investigate the distribution of bubble lifetimes and bubble lengths in DNA at physiological temperature, by performing extensive molecular dynamics simulations with the Peyrard-Bishop-Dauxois (PBD) model, as well as an extended version…

Biological Physics · Physics 2021-01-04 Malcolm Hillebrand , George Kalosakas , Haris Skokos , Alan Bishop

The distribution of bubble lengths in double-stranded DNA is presented for segments of varying guanine-cytosine (GC) content, obtained with Monte Carlo simulations using the Peyrard-Bishop-Dauxois model at 310 K. An analytical description…

Biomolecules · Quantitative Biology 2007-05-23 S. Ares , G. Kalosakas

We have recently suggested that the probability for the formation of thermally activated DNA bubbles is, to a very good approximation, proportional to the number of soft AT pairs over a length L(n) that depend on the size $n$ of the bubble…

Soft Condensed Matter · Physics 2007-05-23 Z. Rapti , A. Smerzi , K. O. Rasmussen , A. R. Bishop , C. H. Choi , A. Usheva

It appears that thermally activated DNA bubbles of different sizes play central roles in important genetic processes. Here we show that the probability for the formation of such bubbles is regulated by the number of soft AT pairs in…

Soft Condensed Matter · Physics 2007-05-23 Z. Rapti , A. Smerzi , K. Ø. Rasmussen , A. R. Bishop

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

The relationship of base pair openings to DNA flexibility is examined. Published experimental data on the temperature dependence of the persistence length by two different groups are well described in terms of an inhomogeneous Kratky-Porot…

Statistical Mechanics · Physics 2012-02-20 Nikos Theodorakopoulos , Michel Peyrard

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

Circular double stranded DNA has different topological states which are defined by their linking numbers. Equilibrium distribution of linking numbers can be obtained by closing a linear DNA into a circle by ligase. Using Monte Carlo…

Biomolecules · Quantitative Biology 2009-05-04 Hu Chen , Yanhui Liu , Zhen Zhou , Lin Hu , Zhong-Can Ou-Yang , Jie Yan

We investigate the role of bubble positioning in the force-induced melting of double-stranded DNA using two distinct approaches: Brownian Dynamics simulations and the Gaussian Network Model. We isolate the effect of bubble positioning by…

Soft Condensed Matter · Physics 2025-06-24 Bidisha Mukherjee , Amit Raj Singh , Garima Mishra

Understanding the inherent timescales of large bubbles in DNA is critical to a thorough comprehension of its physicochemical characteristics, as well as their potential role on helix opening and biological function. In this work we employ…

Biological Physics · Physics 2022-08-12 Malcolm Hillebrand , George Kalosakas , Alan R Bishop , Charalampos Skokos

The paper uses mesoscopic, non-linear lattice dynamics based (Peyrard-Bishop-Dauxois, PBD) modeling to describe thermal properties of DNA below and near the denaturation temperature. Computationally efficient notation is introduced for the…

Statistical Mechanics · Physics 2015-03-18 Nikos Theodorakopoulos

We obtain, using transfer matrix methods, the distribution function $P(R)$ of the end-to-end distance, the loop formation probability and force-extension relations in a model for short double-stranded DNA molecules. Accounting for the…

Soft Condensed Matter · Physics 2009-11-10 P. Ranjith , P. B. Sunil Kumar , Gautam I. Menon

Droplet states of ultracold gases which are stabilized by fluctuations have recently been observed for dipolar and two component Bose gases. These systems present a novel form of equilibrium where an instability at the mean field level is…

Quantum Gases · Physics 2020-09-29 S. Furkan Ozturk , Enes Aybar , M. O. Oktel

On general grounds, a nonequilibrium temperature can be consistently defined from generalized fluctuation-dissipation relations only if it is independent of the observable considered. We argue that the dependence on the choice of observable…

Statistical Mechanics · Physics 2010-04-22 Kirsten Martens , Eric Bertin , Michel Droz

Dynamics of DNA bubbles are of interest for both statistical physics and biology. We present exact solutions to the Fokker-Planck equation governing bubble dynamics in the presence of a long-range entropic interaction. The complete meeting…

Statistical Mechanics · Physics 2014-08-11 Vojtěch Kaiser , Tomáš Novotný

We present a general framework to study the thermodynamic denaturation of double-stranded DNA under superhelical stress. We report calculations of position- and size-dependent opening probabilities for bubbles along the sequence. Our…

Biomolecules · Quantitative Biology 2013-05-29 Daniel Jost , Asif Zubair , Ralf Everaers

We have measured the temperature driven denaturing, or melting transition in poly d(A)-poly d(T) DNA oligomers of various lengths in different buffer conditions. Our findings are in clear disagreement with two state, reaction kinetics…

Statistical Mechanics · Physics 2016-08-16 G. Zocchi , A. Omerzu , T. Kuriabova , J. Rudnick , G. Grüner

The temperature dependence of DNA flexibility is studied in the presence of stretching and unzipping forces. Two classes of models are considered. In one case the origin of elasticity is entropic due to the polymeric correlations, and in…

Soft Condensed Matter · Physics 2016-06-27 Tanmoy Pal , Somendra M. Bhattacharjee

We theoretically investigated the temperature fluctuations of DNA close to denaturation and observed a strong enhancement of these fluctuations at the critical temperature. Although in a much lower frequency range, such a sharp increase was…

Biological Physics · Physics 2011-11-10 Marc Joyeux , Sahin Buyukdagli , Michael Sanrey

The dynamical properties of double-stranded DNA are studied in the framework of the Peyrard-Bishop-Dauxois model using Langevin dynamics. Our simulations are analyzed in terms of two probability functions describing coherently localized…

Soft Condensed Matter · Physics 2007-06-13 B. S. Alexandrov , L. T. Wille , K. O. Rasmussen , A. R. Bishop , K. B. Blagoev
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