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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

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

Single molecule experiments on B-DNA stretching have revealed one or two structural transitions, when increasing the external force. They are characterized by a sudden increase of DNA contour length and a decrease of the bending rigidity.…

Soft Condensed Matter · Physics 2012-10-25 Manoel Manghi , Nicolas Destainville , John Palmeri

We calculate the equation of state of DNA under tension for the case that the DNA features loops. Such loops occur transiently during DNA condensation in the presence of multivalent ions or sliding cationic protein linkers. The…

Biomolecules · Quantitative Biology 2007-05-23 I. M. Kulic , H. Mohrbach , R. Thaokar , H. Schiessel

Overstretching of B-DNA is currently understood as force-induced melting. Depending on the geometry of the stretching experiment, the force threshold for the overstretching transition is around 65 or 110 pN. Although the mechanisms behind…

Biological Physics · Physics 2019-03-06 Nikos Theodorakopoulos

We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider…

Soft Condensed Matter · Physics 2021-04-07 Yulian Honchar , Christian von Ferber , Yurij Holovatch

Double-stranded DNA `overstretches' at a pulling force of about 65 pN, increasing in length by a factor of 1.7. The nature of the overstretched state is unknown, despite its considerable importance for DNA's biological function and…

Statistical Mechanics · Physics 2009-11-13 Stephen Whitelam , Sander Pronk , Phillip L. Geissler

When pulled along its axis, double-stranded DNA elongates abruptly at a force of about 65 pN. Two physical pictures have been developed to describe this overstretched state. The first proposes that strong forces induce a phase transition to…

Statistical Mechanics · Physics 2015-06-25 Stephen Whitelam , Sander Pronk , Phillip L. Geissler

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 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

The dynamics of loops at the DNA denaturation transition is studied. A scaling argument is used to evaluate the asymptotic behavior of the autocorrelation function of the state of complementary bases (either open or closed). The long-time…

Statistical Mechanics · Physics 2008-07-03 Amir Bar , Yariv Kafri , David Mukamel

Recent advances in the understanding of the melting behavior of double-stranded DNA with statistical mechanics methods lead to improved estimates of the weight factors for the dissociation events of the chains, in particular for interior…

Statistical Mechanics · Physics 2009-11-07 Ralf Blossey , Enrico Carlon

A detailed description of the conformational plasticity of double stranded DNA (ds) is a necessary framework for understanding protein-DNA interactions. Until now, however structure and kinetics of the transition from the basic conformation…

Soft Condensed Matter · Physics 2011-03-04 Pasquale Bianco , Lorenzo Bongini , Luca Melli , Mario Dolfi , Vincenzo Lombardi

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

The nature and the universal properties of DNA thermal denaturation are investigated by Monte Carlo simulations. For suitable lattice models we determine the exponent c describing the decay of the probability distribution of denaturated…

Statistical Mechanics · Physics 2009-11-07 Enrico Carlon , Enzo Orlandini , Attilio L. Stella

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

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 present a generic model for DNA at the base-pair level. We use a variant of the Gay-Berne potential to represent the stacking energy between neighboring base-pairs. The sugar-phosphate backbones are taken into account by semi-rigid…

Soft Condensed Matter · Physics 2009-11-10 Boris Mergell , Mohammad R. Ejtehadi , Ralf Everaers

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
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