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The simplest model of DNA mechanics describes the double helix as a continuous rod with twist and bend elasticity. Recent work has discussed the relevance of a little-studied coupling $G$ between twisting and bending, known to arise from…

Statistical Mechanics · Physics 2019-04-08 Stefanos K. Nomidis , Enrico Skoruppa , Enrico Carlon , John F. Marko

The two strands of a DNA molecule with a repetitive sequence can pair into many different basepairing patterns. For perfectly periodic sequences, early bulk experiments of Poerschke indicate the existence of a sliding process, permitting…

Biomolecules · Quantitative Biology 2007-05-23 Richard A. Neher , Ulrich Gerland

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

Organization and maintenance of the chromosomal DNA in living cells strongly depends on the DNA interactions with a plethora of DNA-binding proteins. Single-molecule studies show that formation of nucleoprotein complexes on DNA by such…

Biomolecules · Quantitative Biology 2018-09-05 Artem K. Efremov , Jie Yan

We present a perturbation theory to find the response of an anisotropic DNA to the external tension. It is shown that the anisotropy has a nonzero but small contribution to the force-extension curve of the DNA. Thus an anisotropic DNA…

Soft Condensed Matter · Physics 2016-09-08 B. Eslami-Mossallam , M. R. Ejtehadi

We study the elastic response of a worm-like polymer chain with reversible kink-like structural defects. This is a generic model for (a) the double-stranded DNA with sharp bends induced by binding of certain proteins, and (b) effects of…

Soft Condensed Matter · Physics 2009-11-10 Yuri O. Popov , Alexei V. Tkachenko

We study a model describing the force-extension curves of modular proteins, nucleic acids, and other biomolecules made out of several single units or modules. At a mesoscopic level of description, the configuration of the system is given by…

Statistical Mechanics · Physics 2016-10-19 L. L. Bonilla , A. Carpio , A. Prados

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 twisting deformation of mechanically stretched DNA molecules is studied by a coarse grained Hamiltonian model incorporating the fundamental interactions that stabilize the double helix and accounting for the radial and angular base pair…

Soft Condensed Matter · Physics 2017-12-15 Marco Zoli

Single molecule DNA experiments often generate data from force versus extension measurements involving the tethering of a microsphere to one end of a single DNA molecule while the other is attached to a substrate. We show that the…

Biological Physics · Physics 2015-06-26 Jose Coelho Neto , Ronald Dickman , O. N. Mesquita

A simple one-dimensional lattice model is suggested to describe the experimentally observed plateau in force-stretching diagrams for some macromolecules. This chain model involves the nearest-neighbor interaction of a Morse-like potential…

Pattern Formation and Solitons · Physics 2015-06-03 P. L. Christiansen , A. V. Savin , A. V. Zolotaryuk

A unified model is constructed to study the recently observed DNA entropic elasticity, cooperative extensibility, and supercoiling property. With the introduction of a new structural parameter (the folding angle $\phi$), bending…

Soft Condensed Matter · Physics 2007-05-23 Zhou Haijun , Zhang Yang , Ou-Yang Zhong-can

Charge transfer in a DNA duplex chain is studied by constructing a system with virtual electrodes connected at the ends of each DNA strand. The systeym is described by the tight-binding model and its transport is analyzed by the transfer…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. F. Wang , Tapash Chakraborty

Exact numerical methods and stochastic simulation methods are developed to study the force stretching single RNA issue on the secondary structure level in equilibrium. By computing the force-extension curves on the constant force and the…

Biomolecules · Quantitative Biology 2016-09-08 Fei Liu , Bi-hui Zhu , Zhong-can Ou-Yang

When double stranded DNA is turned in experiments it undergoes a transition. We use an interacting self-avoiding walk on a three-dimensional fcc lattice weighted by writhe to relate to these experiments and treat this problem via…

Statistical Mechanics · Physics 2016-10-28 Eduardo Dagrosa , Aleksander L Owczarek , Thomas Prellberg

Single-molecule force-extension experiments have allowed quantitative measurements of the mechanical responses of biomolecules to applied forces explaining their roles in key biological functions. Electrophoretic stretching of charged…

Soft Condensed Matter · Physics 2024-02-21 Ananya Mondal , Greg Morrison

We study the force-induced unfolding of random disordered RNA or single-stranded DNA polymers. The system undergoes a second order phase transition from a collapsed globular phase at low forces to an extensive necklace phase with a…

Soft Condensed Matter · Physics 2009-11-07 M. Mueller , F. Krzakala , M. Mezard

When the DNA double helix is subjected to external forces it can stretch elastically to elongations reaching 100% of its natural length. These distortions, imposed at the mesoscopic or macroscopic scales, have a dramatic effect on…

Materials Science · Physics 2009-11-13 Ryan Barnett , Paul Maragakis , Ari Turner , Maria Fyta , Efthimios Kaxiras

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

DNA is now firmly established as a versatile and robust platform for achieving synthetic nanostructures. While the folding of single molecules into complex structures is routinely achieved through engineering basepair sequences, much less…

Soft Condensed Matter · Physics 2025-05-15 Soumen De Karmakar , Thomas Speck
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