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We examine the conformations of a model for a short segment of closed DNA. The molecule is represented as a cylindrically symmetric elastic rod with a constraint corresponding to a specification of the linking number. We obtain analytic…

Soft Condensed Matter · Physics 2009-10-31 Boris Fain , Joseph Rudnick

Many structures inside the cell such as nucleosomes and protein-mediated DNA loops contain sharply bent double-stranded (ds) DNA. Therefore, the energetics of strong dsDNA bending constitutes an essential part of cellular thermodynamics.…

Biological Physics · Physics 2014-11-05 Tung T. Le , Harold D. Kim

Semiflexible polymers characterized by the contour length $L$ and persistent length $\ell_p$ confined in a spatial region $D$ have been described as a series of ``{\em spherical blobs}'' and ``{\em deflecting lines}'' by de Gennes and Odjik…

Biological Physics · Physics 2015-06-18 Aiqun Huang , Aniket Bhattacharya

The sequence-dependent elasticity of double-helical DNA on a nm length scale can be captured by the rigid base-pair model, whose strains are the relative position and orientation of adjacent base-pairs. Corresponding elastic potentials have…

Biomolecules · Quantitative Biology 2013-05-29 Nils B. Becker , Ralf Everaers

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

This paper introduces the use of cable dynamics models as a means to explore the mechanics of DNA on long-length scales. It is on these length scales that DNA forms twisted and curved three-dimensional shapes known as supercoils and loops.…

Biological Physics · Physics 2007-05-23 Sachin Goyal , Todd Lillian , Noel C. Perkins , Edgar Meyhofer

It is well known that the structural deformations (stressed states) of DNA molecule play a crucial role in its biological functions including gene expression. For instance, looping in DNA (often mediated by protein binding) is a crucial…

Biological Physics · Physics 2007-05-23 Sachin Goyal , Noel C. Perkins

The macroscopic curvature of double helical DNA induced by regularly repeated adenine tracts is well-known but still puzzling. Its physical origin remains controversial even though it is perhaps the best-documented sequence modulation of…

Biological Physics · Physics 2007-05-23 Alexey K. Mazur , Dimitri E. Kamashev

In many cases, transcriptional regulation involves the binding of transcription factors at sites on the DNA that are not immediately adjacent to the promoter of interest. This action at a distance is often mediated by the formation of DNA…

Biomolecules · Quantitative Biology 2015-05-13 Lin Han , Hernan G. Garcia , Seth Blumberg , Kevin B. Towles , John F. Beausang , Philip C. Nelson , Rob Phillips

Condensation of hundreds of mega-base-pair-long human chromosomes in a small nuclear volume is a spectacular phenomenon. This process is driven by the formation of chromosome loops. ATP consuming motor, condensin, interacts with chromatin…

Soft Condensed Matter · Physics 2021-10-27 Ryota Takaki , Atreya Dey , Guang Shi , Dave Thirumalai

DNA is increasingly employed for bio and nanotechnology thanks to its exquisite versatility and designability. Most of its use is limited to linearised and torsionally relaxed DNA but non-trivial architectures and torsionally constrained --…

Soft Condensed Matter · Physics 2020-09-22 Jan Smrek , Davide Michieletto

A simple model of a circularly closed dsDNA in a poor solvent is considered as an example of a semi-flexible polymer with self-attraction. To find the ground states, the conformational energy is computed as a sum of the bending and…

Biological Physics · Physics 2013-04-25 E. L. Starostin

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 studied the electrical conductivity of DNA samples as function of the number of DNA molecules. We showed that the insulating gap (no current at low voltage) increases from ~1-2 V for bundles and large ropes to ~4-7 V for few DNA…

Soft Condensed Matter · Physics 2007-05-23 Thomas Heim , Dominique Deresemes , Dominique Vuillaume

DNA polymerases are an essential class of enzymes or molecular motors that catalyze processive DNA syntheses during DNA replications. A critical issue for DNA polymerases is their molecular mechanism of processive DNA replication. We have…

Soft Condensed Matter · Physics 2021-11-01 Yu-Ru Liu , Peng-Ye Wang , Wei Li , Ping Xie

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

Finding a theoretical formula for the persistence length of polyelectrolytes for the whole experimental range of salt concentration is a long standing challenge. Using the Tethered Particle Motion technique, the double-stranded DNA…

Soft Condensed Matter · Physics 2023-06-27 Manoel Manghi , Audrey Denis , Nicolas Destainville , Emmanuel Trizac , Catherine Tardin

We scrutinize the effect of polyvalent ions on polymer-DNA interactions. We extend a recently developed test charge theory to the case of a stiff polymer interacting with a DNA molecule in an electrolyte mixture. The theory accounts for…

Soft Condensed Matter · Physics 2017-03-08 Sahin Buyukdagli

We introduce a probabilistic model for protein sliding motion along DNA during the search of a target sequence. The model accounts for possible effects due to sequence-dependent interaction between the nonspecific DNA and the protein. As an…

Biological Physics · Physics 2007-05-23 Maria Barbi , Christophe Place , Vladislav Popkov , Mario Salerno

We discuss theoretically the force F between two colloidal particles, each of them carrying one single strand DNA. The two strands are complementary only on a finite sequence of consecutive base pairs. We define an adjustment length (a few…

Biological Physics · Physics 2015-06-26 Pierre-Gilles de Gennes