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The Poland-Scheraga model for DNA denaturation, besides playing a central role in applications, has been widely studied in the physical and mathematical literature over the past decades. More recently a natural generalization has been…

Probability · Mathematics 2017-03-31 Quentin Berger , Giambattista Giacomin , Maha Khatib

The formation of local denaturation zones (bubbles) in double-stranded DNA is an important example for conformational changes of biological macromolecules. We study the dynamics of bubble formation in terms of a Fokker-Planck equation for…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler

The closure dynamics of a pre-equilibrated DNA denaturation bubble is studied using both Brownian dynamics simulations and an analytical approach. The numerical model consists of two semi-flexible interacting single strands (ssDNA) and a…

Soft Condensed Matter · Physics 2012-05-31 Anil Kumar Dasanna , Nicolas Destainville , John Palmeri , Manoel Manghi

The closure of long equilibrated denaturation bubbles in DNA is studied using Brownian dynamics simulations. A minimal mesoscopic model is used where the double-helix is made of two interacting bead-spring freely rotating strands, with a…

Soft Condensed Matter · Physics 2015-06-12 Anil Kumar Dasanna , Nicolas Destainville , John Palmeri , Manoel Manghi

We propose a stochastic Gillespie scheme to describe the temporal fluctuations of local denaturation zones in double-stranded DNA as a single molecule time series. It is demonstrated that the model recovers the equilibrium properties. We…

Biomolecules · Quantitative Biology 2009-11-11 Suman Kumar Banik , Tobias Ambjornsson , Ralf Metzler

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

The Poland--Scheraga model, introduced in the 1970's, is a reference model to describe the denaturation transition of DNA. More recently, it has been generalized in order to allow for asymmetry in the strands lengths and in the formation of…

Probability · Mathematics 2024-06-18 Quentin Berger , Alexandre Legrand

The denaturation transition of circular DNA is studied within a Poland-Scheraga type approach, generalized to account for the fact that the total linking number (LK), which measures the number of windings of one strand around the other, is…

Statistical Mechanics · Physics 2015-06-05 Amir Bar , Alkan Kabakçıoğlu , David Mukamel

The Poland-Scheraga model describes the denaturation transition of two complementary - in particular, equally long - strands of DNA, and it has enjoyed a remarkable success both for quantitative modeling purposes and at a more theoretical…

Probability · Mathematics 2015-10-28 Giambattista Giacomin , Maha Khatib

The issue of the nucleation and slow closure mechanisms of non superhelical stress-induced denaturation bubbles in DNA is tackled using coarse-grained MetaDynamics and Brownian simulations. A minimal mesoscopic model is used where the…

Soft Condensed Matter · Physics 2015-04-13 François Sicard , Nicolas Destainville , Manoel Manghi

The denaturation transition which takes place in circular DNA is analyzed by extending the Poland-Scheraga model to include the winding degrees of freedom. We consider the case of a homopolymer whereby the winding number of the double…

Statistical Mechanics · Physics 2011-11-22 Amir Bar , Alkan Kabakçıoğlu , David Mukamel

We study the dynamics of denaturation bubbles in double-stranded DNA on the basis of the Poland-Scheraga model. We show that long time distributions for the survival of DNA bubbles and the size autocorrelation function can be derived from…

Statistical Mechanics · Physics 2008-06-02 Hans C. Fogedby , Ralf Metzler

Following Poland and Scheraga, we consider a simplified model for the denaturation transition of DNA. The two strands are modeled as interacting polymer chains. The attractive interactions, which mimic the pairing between the four bases,…

Soft Condensed Matter · Physics 2009-11-07 T. Garel , C. Monthus , H. Orland

In the framework of the Poland Scheraga model of DNA denaturation, we derive a recursion relation for the partition function of double stranded DNA, allowing for mismatches between the two strands. This relation is studied numerically using…

Soft Condensed Matter · Physics 2007-05-23 T. Garel , H. Orland

The distance distribution between complementary base pairs of the two strands of a DNA molecule is studied near the melting transition. Scaling arguments are presented for a generalized Poland-Scheraga type model which includes…

Statistical Mechanics · Physics 2009-11-07 M. Baiesi , E. Carlon , Y. Kafri , D. Mukamel , E. Orlandini , A. L. Stella

The Poland-Scheraga model is a celebrated model for the denaturation transition of DNA, which has been widely used in the bio-physical literature to study, and investigated by mathematicians. In the original model, only opposite bases of…

Probability · Mathematics 2020-11-05 Alexandre Legrand

When double-stranded DNA molecules are heated, or exposed to denaturing agents, the two strands get separated. The statistical physics of this process has a long history, and is commonly described in term of the Poland-Scheraga (PS) model.…

Biomolecules · Quantitative Biology 2015-09-21 Michaela Reiter-Schad , Erik Werner , Jonas O. Tegenfeldt , Bernhard Mehlig , Tobias Ambjornsson

We generalize the Poland-Scheraga (PS) model to the case of a circular DNA, taking into account the twisting of the two strains around each other. Guided by recent single-molecule experiments on DNA strands, we assume that the torsional…

Soft Condensed Matter · Physics 2009-06-04 A. Kabakcioglu , E. Orlandini , D. Mukamel

We study the dynamics of denaturation bubbles in double-stranded DNA on the basis of the Poland-Scheraga model. We demonstrate that the associated Fokker-Planck equation is equivalent to a Coulomb problem. Below the melting temperature the…

Statistical Mechanics · Physics 2014-10-07 Hans C. Fogedby , Ralf Metzler

We have investigated the denaturation bubble life time for a homogeneous as well as for a heterogeneous DNA within a Poland-Scheraga model. It is shown that at criticality the bubble life time for a homogeneous DNA is finite provided that…

Soft Condensed Matter · Physics 2010-10-12 Zh. S. Gevorkian , Chin-Kun Hu
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