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Related papers: Variety of Scaling Laws for DNA Thermal Denaturati…

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We analyse the effects of the environment (solvent quality, presence of extended structures - crowded environment) that may have impact on the order of the transition between denaturated and bounded DNA states and lead to changes in the…

Statistical Mechanics · Physics 2021-10-28 Yu. Holovatch , C. von Ferber , Yu. Honchar

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

For a model of DNA denaturation, exponents describing the distributions of denaturated loops and unzipped end-segments are determined by exact enumeration and by Monte Carlo simulations in two and three dimensions. The loop distributions…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Enrico Carlon , Attilio Stella

We numerically study the binary disordered Poland-Scheraga model of DNA denaturation, in the regime where the pure model displays a first order transition (loop exponent $c=2.15>2$). We use a Fixman-Freire scheme for the entropy of loops…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Garel , Cecile Monthus

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 compare results of previous simulations of a simple model of DNA denaturation to the predictions of the Poland-Scheraga model. Concentrating on the critical region of the latter model we calculate both thermodynamic quantities and the…

Statistical Mechanics · Physics 2007-05-23 Lothar Schäfer

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 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

We introduce a three-state model for a single DNA chain under tension that distinguishes between B-DNA, S-DNA and M (molten or denatured) segments and at the same time correctly accounts for the entropy of molten loops, characterized by the…

Biological Physics · Physics 2015-05-18 Thomas R. Einert , Douglas B. Staple , Hans-Juergen Kreuzer , Roland R. Netz

We used the Transfer-Integral method to compute, with an uncertainty smaller than 5%, the six fundamental characteristic exponents of two dynamical models for DNA thermal denaturation and investigate the validity of the scaling laws. Doubts…

Biological Physics · Physics 2011-11-09 Sahin Buyukdagli , Marc Joyeux

Poland-Scheraga models were introduced to describe the DNA denaturation transition. We give a rigorous and refined discussion of a family of these models. We derive possible scaling functions in the neighborhood of the phase transition…

Statistical Mechanics · Physics 2008-08-28 C. Richard , A. J. Guttmann

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

We study a model for the denaturation transition of DNA in which the molecules are considered as composed of a sequence of alternating bound segments and denaturated loops. We take into account the excluded-volume interactions between…

Soft Condensed Matter · Physics 2009-10-31 Yariv Kafri , David Mukamel , Luca Peliti

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 (PS) model for the helix-coil transition of DNA considers the statistical mechanics of the thermally induced binding of two complementary strands of DNA. In this paper, we show how to modify the PS model when a torque is…

Biomolecules · Quantitative Biology 2007-05-23 Thomas Garel , Henri Orland , Edouard Yeramian

We study numerically a disordered version of the model for DNA denaturation transition (DSAW-DNA) consisting of two interacting SAWs in 3d, which undergoes a first order transition in the homogeneous case. The two possible values eAT and…

Soft Condensed Matter · Physics 2009-11-11 Barbara Coluzzi

The denaturation dynamics of a long double-stranded DNA is studied by means of a model of the Poland-Scheraga type. We note that the linking of the two strands is a locally conserved quantity, hence we introduce local updates that respect…

Statistical Mechanics · Physics 2009-01-28 Marco Baiesi , Roberto Livi

Loops are essential secondary structure elements in folded DNA and RNA molecules and proliferate close to the melting transition. Using a theory for nucleic acid secondary structures that accounts for the logarithmic entropy c ln m for a…

Statistical Mechanics · Physics 2011-05-02 Thomas R. Einert , Henri Orland , Roland R. Netz

We study pairs of interacting self-avoiding walks on the 3d simple cubic lattice. They have a common origin and are allowed to overlap only at the same monomer position along the chain. The latter overlaps are indeed favored by an energetic…

Soft Condensed Matter · Physics 2009-10-31 Maria Serena Causo , Barbara Coluzzi , Peter Grassberger

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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