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Matematicheskaya Biologiya i Bioinformatika, 2019, Volume 14, Issue 2, Pages 406–419
DOI: https://doi.org/10.17537/2019.14.406
(Mi mbb392)
 

This article is cited in 8 scientific papers (total in 8 papers)

Mathematical Modeling

Dynamics of large radius polaron in a model polynucleotide chain with random perturbations

N. S. Fialko, V. D. Lakhno

Institute of Mathematical Problems of Biology RAS – the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Full-text PDF (911 kB) Citations (8)
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Abstract: We consider the dynamics of polaron in a chain using computational experiment. The temperature, which is simulated by random Langevin-type perturbations, and influence of external electric field are taking into account. In a sufficiently long unperturbed chain, the displacement of the center of mass of the polaron and its velocity does not depend on its length. In the semiclassical Holstein model, which is applied for simulations of charge transfer in DNA, the region of polaron existence in the thermodynamic equilibrium state depends not only on temperature, but also on the chain length. Therefore, when modeling dynamics from polaron initial data, the time dependences of the average displacement of the charge mass center at the same temperature are different for chains of different lengths. According to the results of computational experiment, for polaron of large radius the time dependence of the “average polaron displacement”, which takes into account only the polaron peak and its position, for chains of different lengths behaves almost equally at time intervals until the polaron will destroyed. The same slope of the polaron displacement allows us to estimate the average polaron velocity. The results of calculations demonstrate that in Holstein model at zero temperature, the mobility value of the large radius polaron is small but non-zero.
Key words: Holstein model, Langevin thermostat, DNA, charge, electric field intensity, displacement of the charge center of mass, moving polaron.
Received 27.05.2019, 29.06.2019, Published 16.07.2019
Document Type: Article
UDC: 51-7, 53.09
Language: Russian
Citation: N. S. Fialko, V. D. Lakhno, “Dynamics of large radius polaron in a model polynucleotide chain with random perturbations”, Mat. Biolog. Bioinform., 14:2 (2019), 406–419
Citation in format AMSBIB
\Bibitem{FiaLak19}
\by N.~S.~Fialko, V.~D.~Lakhno
\paper Dynamics of large radius polaron in a model polynucleotide chain with random perturbations
\jour Mat. Biolog. Bioinform.
\yr 2019
\vol 14
\issue 2
\pages 406--419
\mathnet{http://mi.mathnet.ru/mbb392}
\crossref{https://doi.org/10.17537/2019.14.406}
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  • https://www.mathnet.ru/eng/mbb/v14/i2/p406
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:128
    Full-text PDF :35
    References:19
     
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