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Base stacking is crucial in nucleic acid stabilization, from DNA duplex hybridization to single-stranded DNA (ssDNA) protein binding. While stacking energies are tiny in ssDNA, they are inextricably mixed with hydrogen bonding in DNA base…

Soft Condensed Matter · Physics 2024-11-19 Xavier Viader-Godoy , Maria Manosas , Felix Ritort

We present an extensive theoretical investigation of the mechanical unzipping of double-stranded DNA under the influence of an applied force. In the limit of long polymers, there is a thermodynamic unzipping transition at a critical force…

Soft Condensed Matter · Physics 2009-11-07 David K. Lubensky , David R. Nelson

The mechanical properties of molecules are today captured by single molecule manipulation experiments, so that polymer features are tested at a nanometric scale. Yet devising mathematical models to get further insight beyond the commonly…

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

In a recent experiment, a single DNA double helix is stretched and relaxed in the presence of spermidine, a short positive polyelectrolyte, and the pulling force is measured as a function of DNA extension. In a certain range of spermidine…

Soft Condensed Matter · Physics 2009-11-10 R. Zhang , B. I. Shklovskii

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

We derive the single molecule equation of state (force-extension relation) for DNA molecules bearing sliding loops and deflection defects. Analytical results are obtained in the large force limit by employing an analogy with instantons in…

Soft Condensed Matter · Physics 2009-11-11 Igor M. Kulic , H. Mohrbach , V. Lobaskin , R. Thaokar , H. Schiessel

Simple expressions for the bending and the base-stacking energy of double-stranded semiflexible biopolymers (such as DNA and actin) are derived. The distribution of the folding angle between the two strands is obtained by solving a…

Soft Condensed Matter · Physics 2009-10-31 Zhou Haijun , Ou-Yang Zhong-can

We study voltage driven translocation of a single stranded (ss) DNA through a membrane channel. Our model, based on a master equation (ME) approach, investigates the probability density function (pdf) of the translocation times, and shows…

Statistical Mechanics · Physics 2007-05-23 O. Flomenbom , J. Klafter

We introduce a model of thermalized conformations in space of RNA -or single stranded DNA- molecules, which includes the possibility of hairpin formation. This model contains the usual secondary structure information, but extends it to the…

Soft Condensed Matter · Physics 2007-05-23 Andrea Montanari , Marc Mezard

The effect of electrostatic interactions on the stretching of DNA is investigated using a simple worm like chain model. In the limit of small force there are large conformational fluctuations which are treated using a self-consistent…

Soft Condensed Matter · Physics 2009-10-31 Namkyung Lee , D. Thirumalai

A phenomenological model based on the three-dimensional theory of nonlinear elasticity is developed to describe the phenomenon of overstretching in the force-extension curve for dsDNA. By using the concept of a material with multiple…

Biomolecules · Quantitative Biology 2008-02-25 Ray W. Ogden , Giuseppe Saccomandi , Ivonne Sgura

In order to interpret recent experimental studies of the dependence of conductance of ds-DNA as the DNA is pulled from the 3'end1-3'end2 ends, which find a sharp conductance jump for a very short (4.5 %) stretching length, we carried out…

Soft Condensed Matter · Physics 2016-08-26 Saientan Bag , Santosh Mogurampelly , William A Goddard , Prabal K Maiti

We present a mean-field dynamical theory for single semiflexible polymers which can precisely capture, without fitting parameters, recent fluorescence correlation spectroscopy results on single monomer kinetics of DNA strands in solution.…

Soft Condensed Matter · Physics 2009-10-19 Michael Hinczewski , Roland R. Netz

A simple model of DNA based on two interacting polymers has been used to study the unzipping of a double stranded DNA subjected to a periodic force. We propose a dynamical transition, where without changing the physiological condition, it…

Biological Physics · Physics 2015-06-11 Sanjay Kumar , Garima Mishra

We develop a continuum elastic approach to examining the bending mechanics of semiflexible filaments with a local internal degree of freedom that couples to the bending modulus. We apply this model to study the nonlinear mechanics of a…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Alex J. Levine

We report model calculations on DNA single strands which describe the equilibrium dynamics and kinetics of hairpin formation and melting. Modeling is at the level of single bases. Strand rigidity is described in terms of simple polymer…

Soft Condensed Matter · Physics 2007-10-01 Jalal Errami , Michel Peyrard , Nikos Theodorakopoulos

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

We study numerically the mechanical stability and elasticity properties of duplex DNA molecules within the frame of a network model incorporating microscopic degrees of freedom related with the arrangement of the base pairs. We pay special…

Pattern Formation and Solitons · Physics 2015-06-26 D. Hennig , J. F. R. Archilla

A double stranded DNA molecule under the stress of a pulling force acting on the strand terminals exhibits a partially denatured structure or can be completely unzipped depending the magnitude of the pulling force. A scaling argument for…

Statistical Mechanics · Physics 2009-09-25 Jeff Z. Y. Chen