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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

We develop further a statistical model coupling denaturation and chain conformations in DNA (Palmeri J, Manghi M and Destainville N 2007 Phys. Rev. Lett. 99 088103). Our Discrete Helical Wormlike Chain model takes explicitly into account…

Soft Condensed Matter · Physics 2010-06-22 Manoel Manghi , John Palmeri , Nicolas Destainville

The entropy loss due to the formation of one or multiple loops in circular and linear DNA chains is calculated from a scaling approach in the limit of long chain segments. The analytical results allow to obtain a fast estimate for the…

Statistical Mechanics · Physics 2009-11-07 Andreas Hanke , Ralf Metzler

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

The dynamics of a loop in DNA molecules at the denaturation transition is studied by scaling arguments and numerical simulations. The autocorrelation function of the state of complementary bases (either closed or open) is calculated. The…

Statistical Mechanics · Physics 2009-11-11 A. Bar , Y. Kafri , D. Mukamel

Standard DNA melting curves record the separation of the two strands versus temperature, but they do not provide any information on the location of the opening. We introduce an experimental method which adds a new dimension to the melting…

Statistical Mechanics · Physics 2009-10-25 Santiago Cuesta-Lopez , Dimitar Angelov , Michel Peyrard

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

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

The thermodynamic properties of DNA circular molecules are investigated by a new path integral computational method which treats in the real space the fundamental forces stabilizing the molecule. The base pair and stacking contributions to…

Soft Condensed Matter · Physics 2014-11-11 Marco Zoli

The stability of DNA molecule during the encapsulation process is a topic of intense research. We study the thermal stability of the double-stranded DNA molecule of different lengths in a confined space. Using a statistical model we…

Soft Condensed Matter · Physics 2020-02-04 Arghya Maity , Navin Singh

We have developed a generalized semi-analytic approach for efficiently computing cyclization and looping $J$ factors of DNA under arbitrary binding constraints. Many biological systems involving DNA-protein interactions impose precise…

Biomolecules · Quantitative Biology 2015-05-14 David P. Wilson , Alexei V. Tkachenko , Jens-Christian Meiners

We investigated how the finiteness of the length of the sequence affects the phase transition that takes place at DNA melting temperature. For this purpose, we modified the Transfer Integral method to adapt it to the calculation of both…

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

The statistical mechanics of DNA denaturation under fixed linking number is qualitatively different from that of the unconstrained DNA. Quantitatively different melting scenarios are reached from two alternative assumptions, namely, that…

Statistical Mechanics · Physics 2015-08-06 Alkan Kabakcioglu , Amir Bar , David Mukamel

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

DNA stretching experiments are usually interpreted using the worm-like chain model; the persistence length A appearing in the model is then interpreted as the elastic stiffness of the double helix. In fact the persistence length obtained by…

Soft Condensed Matter · Physics 2009-10-30 Philip Nelson

Correlation length exponent $\nu$ for long linear DNA molecules was determined by direct measurement of the average end-to-end distance as a function of the contour length $s$ by means of atomic force microscopy (AFM). Linear DNA, up to…

Soft Condensed Matter · Physics 2009-11-11 Francesco Valle , Melanie Favre , Paolo De Los Rios , Angelo Rosa , Giovanni Dietler

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

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

Advanced Monte Carlo simulations are used to study the effect of nano-slit confinement on metric and topological properties of model DNA chains. We consider both linear and circularised chains with contour lengths in the 1.2--4.8 $\mu$m…

Biological Physics · Physics 2012-04-11 C. Micheletti , E. Orlandini

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
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