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Matematicheskaya Biologiya i Bioinformatika, 2018, Volume 13, Issue 1, Pages 1–12
DOI: https://doi.org/10.17537/2018.13.1
(Mi mbb324)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

Trapping and transport of charges in DNA by mobile discrete breathers

A. P. Chetverikovab, K. S. Sergeevba, V. D. Lakhnob

a Faculty of Physics, Saratov National Research State University named after N.G. Chernyshevsky, Saratov, Russia
b Institute of Mathematical Problems of Biology RAS - the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Moscow region, Russia
Full-text PDF (861 kB) Citations (4)
References:
Abstract: Numerical simulation of trapping and transport of a charged particle (electron or hole) by mobile discrete breathes (mobile DB, MDB) in DNA molecule has been provided. Mobile DBs have been excited by disturbance of displacements or velocities of adjacent nucleotide pairs dislocated near one of fixed ends of the molecule. It is shown that effective forming of a stable quasi-particle “MDB + electron” occurs when a few of nucleotide pairs at the end of DNA are excited. Breathes may be excited by disturbances of displacements and velocities directed both to axis and from axis of the molecule. A wave function of an electron must be located initially in a region of disturbance of the molecule. It has been found that a metastable quasi-particle may be transported at a distance up to 200 of a rise per base pair. The mechanism of transport of a charged particle presented is not in need of an external electric field and may be considered as an alternative one to the polaronic mechanism.  
Key words: nanobioelectronics, DNA, mobile discrete breathers (MDB), quasi-particles, Peyrard–Bishop–Dauxois–Holstein model.
Funding agency Grant number
Russian Science Foundation 16-11-10163
Russian Foundation for Basic Research 16-07-00305_а
Received 20.11.2017, Published 22.01.2018
Document Type: Article
UDC: 2013.12.27
Language: Russian
Citation: A. P. Chetverikov, K. S. Sergeev, V. D. Lakhno, “Trapping and transport of charges in DNA by mobile discrete breathers”, Mat. Biolog. Bioinform., 13:1 (2018), 1–12
Citation in format AMSBIB
\Bibitem{CheSerLak18}
\by A.~P.~Chetverikov, K.~S.~Sergeev, V.~D.~Lakhno
\paper Trapping and transport of charges in DNA by mobile discrete breathers
\jour Mat. Biolog. Bioinform.
\yr 2018
\vol 13
\issue 1
\pages 1--12
\mathnet{http://mi.mathnet.ru/mbb324}
\crossref{https://doi.org/10.17537/2018.13.1
}
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  • https://www.mathnet.ru/eng/mbb/v13/i1/p1
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :86
    References:25
     
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