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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

Time-resolved single-molecule biophysical experiments yield data that contain a wealth of dynamic information, in addition to the equilibrium distributions derived from histograms of the time series. In typical force spectroscopic setups…

Biomolecules · Quantitative Biology 2011-07-14 Michael Hinczewski , Yann von Hansen , Roland R. Netz

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

Chain-like macromolecules in solution, whether biological or synthetic, transform from an extended conformation to a compact one when temperature or other system parameters change. This collapse transition is relevant in various phenomena,…

Soft Condensed Matter · Physics 2026-05-18 Yanyan Zhu , Haim Diamant , David Andelman

A double stranded DNA molecule when pulled with a force acting on one end of the molecule can become either partially or completely unzipped depending on the magnitude of the force F. For a random DNA sequence, the number M of unzipped base…

Soft Condensed Matter · Physics 2007-05-23 Pui-Man Lam , J. C. S. Levy , Hanchen Huang

A revised Marko-Siggia elastic model for DNA double helix [Macromolecules 27, 981 (1994)] is proposed, which includes the WLC bending energy and a new chiral twisting energy term. It is predicted that the mean helical repeat length (HRL)…

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

We predict various detectable mechanical responses to the presence of local DNA defects which are defined as short DNA segments exhibiting mechanical properties obviously different from the 50 nm persistence length based semiflexible…

Biomolecules · Quantitative Biology 2009-05-04 Hu Chen , Jie Yan

We phenomenologically analyze short DNA rings' stability by discussing the second variation of its elastic free energy. Through expanding the perturbation functions as Fourier series, we obtain DNA rings' stability condition in a general…

Soft Condensed Matter · Physics 2009-06-09 Xiaohua Zhou

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 importance of nonlinearities in material constitutive relations has long been appreciated in the continuum mechanics of macroscopic rods. Although the moment (torque) response to bending is almost universally linear for small deflection…

Soft Condensed Matter · Physics 2009-11-10 Paul A. Wiggins , Rob Phillips , Philip C. Nelson

Although mechanical properties of DNA are well characterized at the kilo base-pair range, a number of recent experiments have suggested that DNA is more flexible at shorter length scales, which correspond to the regime that is crucial for…

Biomolecules · Quantitative Biology 2015-06-11 Agnes Noy , Ramin Golestanian

A theory is presented of DNA hairpins enclosed in a nanochannel. A hairpin becomes constrained as it approaches the wall of a channel which leads to an entropic force causing the hairpin to tighten. The free energy of the hairpin computed…

Soft Condensed Matter · Physics 2009-11-11 Theo Odijk

The theory of elastic rods can be used to describe certain geometric and topological properties of the DNA molecules. A similar effective field theory approach was previously suggested to describe the conformations and dynamics of proteins.…

Biomolecules · Quantitative Biology 2019-09-04 Dmitry Melnikov , Alyson B. F. Neves

The dynamics of polymer translocation through a pore has been the subject of recent theoretical and experimental works. We have considered theoretical estimates and performed computer simulations to understand the mechanism of DNA uptake…

Soft Condensed Matter · Physics 2009-11-07 Zeno Farkas , Imre Derenyi , Tamas Vicsek

DNA condensation by multivalent cations plays a crucial role in genome packaging in viruses and sperm heads, and has been extensively studied using single-molecule experimental methods. In those experiments, the values of the critical…

Soft Condensed Matter · Physics 2015-04-13 Ruggero Cortini , Bertrand R. Caré , Jean-Marc Victor , Maria Barbi

We present a statistical mechanics analysis of the finite-size elasticity of biopolymers, consisting of domains which can exhibit transitions between more than one stable state at large applied force. The constant-force (Gibbs) and…

Biological Physics · Physics 2012-05-15 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

A DNA-protein complex modelled by a semiflexible chain and an attractive spherical core is studied in the situation when an external stretching force is acting on one end monomer of the chain while the other end monomer is kept fixed in…

Soft Condensed Matter · Physics 2009-11-10 Takahiro Sakaue , Hartmut Löwen

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

We introduce a coarse-grained model of DNA with bases modeled as rigid-body ellipsoids to capture their anisotropic stereochemistry. Interaction potentials are all physicochemical and generated from all-atom simulation/parameterization with…

Soft Condensed Matter · Physics 2015-05-14 Alex Morriss-Andrews , Joerg Rottler , Steven S. Plotkin

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
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