Abstract:
The influence of the torsion moment on the DNA kink motion is studied by the methods of mathematical modeling. Time dependence of the kink coordinate, velocity, size, and energy on the different values of the parameters of the external torsion moment have been found. It has been shown that by changing the parameters, by switching on and off of the external action, one could regulate the velocity and the direction of the kink movement. Estimation of the torque value necessary for the kink (open state) movement with the velocity comparable to the transcription velocity, has been made.
Key words:
DNA dynamics, angular oscillations of nitrous bases, torque, sine-Gordon equation, kink.
Received 21.03.2016, 30.03.2016, Published 18.04.2016
Document Type:
Article
UDC:
577.323
Language: Russian
Citation:
L. V. Yakushevich, V. N. Balashova, F. K. Zakiryanov, “On the DNA kink motion under the action of constant torque”, Mat. Biolog. Bioinform., 11:1 (2016), 81–90
\Bibitem{YakBalZak16}
\by L.~V.~Yakushevich, V.~N.~Balashova, F.~K.~Zakiryanov
\paper On the DNA kink motion under the action of constant torque
\jour Mat. Biolog. Bioinform.
\yr 2016
\vol 11
\issue 1
\pages 81--90
\mathnet{http://mi.mathnet.ru/mbb252}
\crossref{https://doi.org/10.17537/2016.11.81}
Linking options:
https://www.mathnet.ru/eng/mbb252
https://www.mathnet.ru/eng/mbb/v11/i1/p81
This publication is cited in the following 14 articles:
A. N. Korshunova, V. D. Lakhno, “Nizkoplotnye sostavlyayuschie kholsteinovskogo polyarona pri ego ravnomernom dvizhenii v postoyannom elektricheskom pole v nachalnyi period vremeni”, Preprinty IPM im. M. V. Keldysha, 2022, 078, 19 pp.
A. N. Korshunova, V. D. Lakhno, “Vozniknovenie vnutrennei dinamiki kholsteinovskogo polyarona v protsesse ego ravnomernogo dvizheniya v polinukleotidnoi tsepochke v postoyannom elektricheskom pole”, Matem. biologiya i bioinform., 17:2 (2022), 452–464
A.N. Korshunova, V.D. Lakhno, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 9, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2022
A.N. Korshunova, V.D. Lakhno, “Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain”, J. Phys.: Conf. Ser., 2155:1 (2022), 012031
Slobodan Zdravković, Nonlinear Dynamics of Nanobiophysics, 2022, 29
A. N. Korshunova, V. D. Lakhno, “Zavisimost dvizheniya zaryada v postoyannom elektricheskom pole v polinukleotidnykh tsepochkakh ot znacheniya konstanty svyazi zaryada so smescheniyami tsepochki”, Matem. biologiya i bioinform., 17, Suppl. (2022), 1–13
A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Matem. biologiya i bioinform., 17, Suppl. (2022), 42–52
O. N. Shablovskii, “Volnovoe uravnenie s kubicheskoi nelineinostyu i vozbuzhdenie kolebanii v sisteme «sreda-istochnik»”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 13:4 (2021), 44–56
Ludmila V. Yakushevich, Larisa A. Krasnobaeva, “Ideas and methods of nonlinear mathematics and theoretical physics in DNA science: the McLaughlin-Scott equation and its application to study the DNA open state dynamics”, Biophys Rev, 13:3 (2021), 315
A. N. Korshounova, V. D. Lakhno, “Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements”, Matem. biologiya i bioinform., 16:2 (2021), 411–421
Chevizovich D. Michieletto D. Mvogo A. Zakiryanov F. Zdravkovic S., “A Review on Nonlinear Dna Physics”, R. Soc. Open Sci., 7:11 (2020), 200774
L. V. Yakushevich, V. N. Balashova, F. K. Zakiryanov, “Osobennosti dvizheniya kinkov DNK pri asinkhronnom vklyuchenii/vyklyuchenii postoyannogo i periodicheskogo polei”, Kompyuternye issledovaniya i modelirovanie, 10:4 (2018), 545–558
M. I. Drobotenko, S. S. Dzhimak, A. A. Svidlov, A. A. Basov, O. M. Lyasota, M. G. Baryshev, “A Mathematical Model for Basepair Opening in a DNA Double Helix”, BIOPHYSICS, 63:2 (2018), 177
L. V. Yakushevich, L. A. Krasnobaeva, “Analytical Approaches to Investigating the Dynamics of Genes with a Single Coding Region”, BIOPHYSICS, 63:1 (2018), 31
Citation in format AMSBIB
Contact us: