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We study the properties of moving breathers in a bent DNA-related model with short range interaction, due to the stacking of the base pairs, and long range interaction, due to the finite dipole moment of the bonds within each base pair. We…

Pattern Formation and Solitons · Physics 2015-06-26 J. Cuevas , F. Palmero , J. F. R. Archilla , F. R. Romero

Previous numerical investigations of an one-dimensional DNA model with an extended modified coupling constant by transcripting enzyme are integrated to longer time and demonstrated explicitly the trapping of breathers by DNA chains with…

solv-int · Physics 2021-01-21 Julian Juhi-Lian Ting

Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the helicity of the double…

Pattern Formation and Solitons · Physics 2009-11-07 B. Sanchez-Rey , J. F. R. Archilla , F. Palmero , F. R. Romero

The existence, stability and movability of breathers in a model for alpha-helix proteins is studied. This model basically consists a chain of dipole moments parallel to it. The existence of localized linear modes brings about that the…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. R. Archilla , Yu B. Gaididei , P. L. Christiansen , J. Cuevas

We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a DNA chain in which all the base pairs are identical and there exists an interface such that the base pairs dipole moments at each side are…

Pattern Formation and Solitons · Physics 2016-09-08 A. Alvarez , F. R. Romero , J. F. R. Archilla , J. Cuevas , P. V. Larsen

Charge migration along DNA molecules has attracted scientific interest for over half a century. Reports on possible high rates of charge transfer between donor and acceptor through the DNA, obtained in the last decade from solution…

Materials Science · Physics 2009-11-10 Danny Porath , Gianaurelio Cuniberti , Rosa Di Felice

We study the electronic properties of DNA by way of a tight-binding model applied to four particular DNA sequences. The charge transfer properties are presented in terms of localisation lengths, crudely speaking the length over which…

Genomics · Quantitative Biology 2007-05-23 Daphne Klotsa , Rudolf A. Roemer , Matthew S. Turner

The complex mechanisms governing charge migration in DNA oligomers reflect the rich structural and electronic properties of the molecule of life. Controlling the mechanical stability of DNA nanowires in charge transport experiments is a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Bo Song , Marcus Elstner , Gianaurelio Cuniberti

Recent experiments indicated that disorder effect in DNA may lead to a transition of the charge transport mechanism from band resonant tunnelling to thermal activated hopping. In this letter, based on Mott's variable-range hopping theory we…

Soft Condensed Matter · Physics 2013-12-16 Yong-Gang Yang , Peng-Gang Yin , Xin-Qi Li anf YiJing Yan

We study the propagation of very large amplitude localized excitations in a model of DNA that takes explicitly into account the helicoidal structure. These excitations represent the ``transcription bubble'', where the hydrogen bonds between…

Soft Condensed Matter · Physics 2009-10-31 Alessandro Campa

An 1d model with time-dependent random hopping is proposed to describe charge transport in DNA. It admits to investigate both diffusion of electrons and their tunneling between different sites in DNA. The tunneling appears to be strongly…

Soft Condensed Matter · Physics 2009-11-07 E. I. Kats , V. V. Lebedev

In this communication, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effects. We focus on both the…

Pattern Formation and Solitons · Physics 2015-05-25 J. Cuevas , P. G. Kevrekidis

We propose a dynamical model depicting the interactions between DNA and a specific binding protein involving long range transmissions. The dynamics rely on the coupling between Hydrogen bonds formed between DNA and protein and between the…

Soft Condensed Matter · Physics 2016-07-07 Donny Dwiputra , Wahyu Hidayat , Freddy Permana Zen

Breathers may be mobile close to an instability threshold where the frequency of a pinning mode vanishes. The translation mode is a marginal mode that is a solution of the linearized (Hill) equation of the breather which grows linearly in…

Condensed Matter · Physics 2009-10-30 S. Aubry , T. Cretegny

The transfer of electrons and holes along DNA dimers, trimers and polymers is described at the base-pair level, using the relevant on-site energies of the base-pairs and the hopping parameters between successive base-pairs. The temporal and…

Biological Physics · Physics 2014-07-01 Constantinos Simserides

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

We investigate the formation process of nonlinear vibrational modes representing broad H-bridge multi--site breathers in a DNA--shaped double strand. Within a network model of the double helix we take individual motions of the bases within…

Pattern Formation and Solitons · Physics 2009-11-10 D. Hennig , J. F. R. Archilla

Measurements of electron transfer rates as well as of charge transport characteristics in DNA produced a number of seemingly contradictory results, ranging from insulating behaviour to the suggestion that DNA is an efficient medium for…

Soft Condensed Matter · Physics 2007-05-23 R. Bulla , R. Gutierrez , G. Cuniberti

In order to interpret recent experimental studies of the dependence of conductance of ds-DNA as the DNA is pulled from the 3'end1-3'end2 ends, which find a sharp conductance jump for a very short (4.5 %) stretching length, we carried out…

Soft Condensed Matter · Physics 2016-08-26 Saientan Bag , Santosh Mogurampelly , William A Goddard , Prabal K Maiti

We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with many degrees of freedom. We investigate this question in a very…

Dynamical Systems · Mathematics 2017-11-13 Jean-Pierre Eckmann , C. Eugene Wayne
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