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Related papers: Kink solitons in DNA

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DNA flexibility is a key determinant of biological function, from nucleosome positioning to transcriptional regulation, motivating a direct measurement of the bend-torque response of individual DNA molecules. In this work, DNA bending is…

We investigate the electron (hole) transport through short double-stranded DNA wires in which the electrons are strongly coupled to the specific vibrational modes (vibrons) of the DNA. We analyze the problem starting from a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Benjamin B. Schmidt , Matthias H. Hettler , Gerd Schön

The influence of decoherence and bonding on the linear conductance of single double-stranded DNA molecules is examined by fitting a phenomenological statistical model developed recently (EPJB {\bf 68}, 237 (2009)) to experimental results.…

Soft Condensed Matter · Physics 2010-09-30 M. Zilly , O. Ujsaghy , D. E. Wolf

We have examined the dynamical behavior of the kink solutions of the one-dimensional sine-Gordon equation in the presence of a spatially periodic parametric perturbation. Our study clarifies and extends the currently available knowledge on…

patt-sol · Physics 2009-10-28 Angel Sanchez , A R Bishop , Francisco Dominguez-Adame

Genomic DNA is constantly subjected to various mechanical stresses arising from its biological functions and cell packaging. If the local mechanical properties of DNA change under torsional and tensional stress, the activity of…

Biomolecules · Quantitative Biology 2015-05-28 Alexey K. Mazur

In the present study the interaction of a sine-Gordon kink with a localized inhomogeneity is considered. In the absence of dissipation, the inhomogeneity considered is found to impose a potential energy barrier. The motion of the kink for…

Pattern Formation and Solitons · Physics 2025-02-14 Jacek Gatlik , Tomasz Dobrowolski , Panayotis G. Kevrekidis

The objective of the present study was to develop an understanding of short single-stranded DNA (ssDNA) to assist the development of new DNA-based biosensors. A ssDNA model containing twelve bases was constructed from the 130-145 codon…

Biological Physics · Physics 2012-07-30 Subhasish Chatterjee , Bonnie Gersten , Siddarth Thakur , Alexander Burin

It is shown that the topological discrete sine-Gordon system introduced by Speight and Ward models the dynamics of an infinite uniform chain of electric dipoles constrained to rotate in a plane containing the chain. Such a chain admits a…

Pattern Formation and Solitons · Physics 2014-11-12 J. M. Speight , Y. Zolotaryuk

Nonlinear molecular excitations in DNA have traditionally been modelled using the nonlinear Schr\"odinger equation (NLSE). An alternative approach is based on the plane-base rotator model and the SU(2)/U(1) generalized spin coherent states,…

Biological Physics · Physics 2025-02-14 O. Pavón-Torres , J. R. Collantes-Collantes , M. A. Agüero-Granados

The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable effective model with two degrees of freedom. Effective models…

Pattern Formation and Solitons · Physics 2025-02-14 Tomasz Dobrowolski , Jacek Gatlik , Panayotis G. Kevrekidis

The interaction between large internal motion of DNA surrounded by bio-fluid is investigated. The phenomenon is modelled using the relativistic Navier-Stokes lagrangian describing the bio-fluid coupled to the standard Klein-Gordon…

Fluid Dynamics · Physics 2009-01-01 A. Sulaiman

We investigate the dynamics of DNA translocation through a nanopore using 2D Langevin dynamics simulations, focusing on the dependence of the translocation dynamics on the details of DNA sequences. The DNA molecules studied in this work are…

Soft Condensed Matter · Physics 2008-02-05 Kaifu Luo , Tapio Ala-Nissila , See-Chen Ying , Aniket Bhattacharya

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

In this paper, we explain the fundamental properties of the radiation processess of untrapped kinks moving on discrete lattices or any spatially periodic potential. In particular we explain qualitatively and quantitatively the interesting…

Condensed Matter · Physics 2007-05-23 C. R. Willis

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

The effect of sequence heterogeneity on polynucleotide translocation across a pore and on simple models of molecular motors such as helicases, DNA polymerase/exonuclease and RNA polymerase is studied in detail. Pore translocation of RNA or…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

DNA bending is biologically important for genome regulation and is relevant to a range of nanotechnological systems. Recent results suggest that sharp bending is much easier than implied by the widely-used worm-like chain model; many of…

Biomolecules · Quantitative Biology 2015-07-01 Ryan M. Harrison , Flavio Romano , Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We report on numerical investigations concerning the propagation of solitons in a real DNA chain (the Human Adenovirus 2) using a realistic model of DNA torsional dynamics; this takes fully into account the inhomogeneities in the real…

Biomolecules · Quantitative Biology 2015-05-13 M. Cadoni , R. De Leo , S. Demelio , G. Gaeta

The recently proposed compressed backbone theory suggested that the intrinsic curvature in DNA can result from a geometric mismatch between the specific backbone length and optimal base stacking orientations. It predicted that the curvature…

Biomolecules · Quantitative Biology 2007-05-23 Dimitri E. Kamashev , Alexey K. Mazur

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