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This article is cited in 3 scientific papers (total in 3 papers)
Mathematical Modeling
The excitation of mobile discrete breathers in DNA by initial disturbance of displacements or velocities of a few of adjacent nucleotide pairs
A. P. Chetverikovab, K. S. Sergeevab, V. D. Lakhnoa a Institute of Mathematical Problems of Biology RAS – the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Moscow region, Russia
b Faculty of Physics, Saratov National Research State University named after N.G. Chernyshevsky, Saratov, Russia
Abstract:
Exitation of mobile discrete breathers in DNA initiated by disturbance of displacements or velocities in a small group of adjacent nucleotide pairs situated near the one of fixed ends of the molecule has been studied in a frame of the Peyrard–Bishop–Dauxois (PBD) model. It has been shown that a few number of particles should be disturbed to excite effectively the stable mobile breathers and that disturbances of displacements and velocities may be directed both towards the molecule's axis and away from the axis. A breather velocity increases but a breather frequency decreases with growth of initial energy of particles.
Key words:
nanobioelectronics, DNA, mobile discrete breathers (MDB), Peyrard–Bishop–Dauxois model.
Received 28.08.2017, Published 01.11.2017
Citation:
A. P. Chetverikov, K. S. Sergeev, V. D. Lakhno, “The excitation of mobile discrete breathers in DNA by initial disturbance of displacements or velocities of a few of adjacent nucleotide pairs”, Mat. Biolog. Bioinform., 12:2 (2017), 375–384
Linking options:
https://www.mathnet.ru/eng/mbb300 https://www.mathnet.ru/eng/mbb/v12/i2/p375
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