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A theory is presented for the binding of small molecules such as surfactants to semiflexible polymers. The persistence length is assumed to be large compared to the monomer size but much smaller than the total chain length. Such polymers…

Soft Condensed Matter · Physics 2009-09-25 Haim Diamant , David Andelman

The viscosity of dilute and semidilute unentangled DNA solutions, in steady simple shear flow, has been measured across a range of temperatures and concentrations. For polystyrene solutions, measurements of viscosity have been carried out…

Soft Condensed Matter · Physics 2020-07-03 Sharadwata Pan , Duc At Nguyen , B. Duenweg , P. Sunthar , T. Sridhar , J. Ravi Prakash

The spatial organization of DNA involves DNA loop extrusion and the formation of protein-DNA condensates. While the significance of each process is increasingly recognized, their interplay remains unexplored. Using molecular dynamics…

Biological Physics · Physics 2025-01-31 Ryota Takaki , Yahor Savich , Jan Brugués , Frank Jülicher

In the first paper of this series [S. Torquato, J. Chem. Phys. {\bf 136}, 054106 (2012)], analytical results concerning the continuum percolation of overlapping hyperparticles in $d$-dimensional Euclidean space $\mathbb{R}^d$ were obtained,…

Statistical Mechanics · Physics 2012-08-21 Salvatore Torquato , Yang Jiao

Single molecule experiments on single- and double stranded DNA have sparked a renewed interest in the force-extension of polymers. The extensible Freely Jointed Chain (FJC) model is frequently invoked to explain the observed behavior of…

Biological Physics · Physics 2009-11-07 Cornelis Storm , Philip Nelson

The symmetries of the DNA double helix require a new term in its linear response to stress: the coupling between twist and stretch. Recent experiments with torsionally-constrained single molecules give the first direct measurement of this…

Soft Condensed Matter · Physics 2008-02-03 C. S. O'Hern , Randall D. Kamien , T. C. Lubensky , Philip Nelson

We determine the persistence length, $l_p$, for a bacterial group I ribozyme as a function of concentration of monovalent and divalent cations by fitting the distance distribution functions $P(r)$ obtained from small angle X-ray scattering…

Biomolecules · Quantitative Biology 2009-11-11 G. Caliskan , C. Hyeon , U. Perez-Salas , R. M. Briber , S. A. Woodson , D. Thirumalai

Metropolis Monte Carlo simulation is used to investigate the elasticity of torsionally stressed double-stranded DNA, in which twist and supercoiling are incorporated as a natural result of base-stacking interaction and backbone bending…

Biological Physics · Physics 2009-10-31 Zhang Yang , Zhou Haijun , Ouyang Zhongcan

Condensation is characterized with a single macroscopic condensate whose mass is proportional to a system size $N$. We demonstrate how important particle interactions are in condensation phenomena. We study a modified version of the…

Statistical Mechanics · Physics 2010-05-21 Sang-Woo Kim , Joongul Lee , Jae Dong Noh

We study a minimal model for genome evolution whose elementary processes are single site mutation, duplication and deletion of sequence regions and insertion of random segments. These processes are found to generate long-range correlations…

Genomics · Quantitative Biology 2007-05-23 Philipp W. Messer , Peter F. Arndt , Michael Lässig

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater

The closure dynamics of a pre-equilibrated DNA denaturation bubble is studied using both Brownian dynamics simulations and an analytical approach. The numerical model consists of two semi-flexible interacting single strands (ssDNA) and a…

Soft Condensed Matter · Physics 2012-05-31 Anil Kumar Dasanna , Nicolas Destainville , John Palmeri , Manoel Manghi

Recently Garel, Monthus and Orland (Europhys. Lett. v 55, 132 (2001)) considered a model of DNA denaturation in which excluded volume effects within each strand are neglected, while mutual avoidance is included. Using an approximate scheme…

Statistical Mechanics · Physics 2016-08-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

Single molecule experiments on B-DNA stretching have revealed one or two structural transitions, when increasing the external force. They are characterized by a sudden increase of DNA contour length and a decrease of the bending rigidity.…

Soft Condensed Matter · Physics 2012-10-25 Manoel Manghi , Nicolas Destainville , John Palmeri

We studied the electrical conductivity of DNA molecules with conducting atomic force microscopy as a function of the chemical nature of the substrate surfaces, the nature of the electrical contact, and the number of DNA molecules (from a…

Materials Science · Physics 2009-11-10 Thomas Heim , Dominique Deresmes , Dominique Vuillaume

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 investigate the effect of structural distortion on bond percolation in simple cubic and body-centered cubic lattices using extensive Monte Carlo simulations. Distortion is introduced through controlled random displacements of lattice…

Statistical Mechanics · Physics 2026-02-18 Bishnu Bhowmik , Sayantan Mitra , Robert M. Ziff , Ankur Sensharma

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

The conformation of circular DNA molecules of various lengths adsorbed in a 2D conformation on a mica surface is studied. The results confirm the conjecture that the critical exponent $\nu$ is topologically invariant and equal to the SAW…

Biomolecules · Quantitative Biology 2009-11-13 G. Witz , K. Rechendorff , J. Adamcik , G. Dietler

This paper considers three kinds of length sequences of the complete genome. Detrended fluctuation analysis, spectral analysis, and the mean distance spanned within time $L$ are used to discuss the correlation property of these sequences.…

Biological Physics · Physics 2009-11-06 Zu-Guo Yu , V. V. Anh , Bin Wang