RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Biolog. Bioinform.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mat. Biolog. Bioinform., 2017, Volume 12, Issue 2, Pages 375–384 (Mi mbb300)  

This article is cited in 1 scientific paper (total in 1 paper)

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.

Funding Agency Grant Number
Russian Science Foundation 16-11-10163


DOI: https://doi.org/10.17537/2017.12.375

Full text: PDF file (871 kB)
References: PDF file   HTML file

UDC: 2013.12.27
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

Citation in format AMSBIB
\Bibitem{CheSerLak17}
\by A.~P.~Chetverikov, K.~S.~Sergeev, V.~D.~Lakhno
\paper The excitation of mobile discrete breathers in DNA by initial disturbance of displacements or velocities of a few of adjacent nucleotide pairs
\jour Mat. Biolog. Bioinform.
\yr 2017
\vol 12
\issue 2
\pages 375--384
\mathnet{http://mi.mathnet.ru/mbb300}
\crossref{https://doi.org/10.17537/2017.12.375}


Linking options:
  • http://mi.mathnet.ru/eng/mbb300
  • http://mi.mathnet.ru/eng/mbb/v12/i2/p375

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. D. Lakhno, A. P. Chetverikov, K. S. Sergeev, “Zakhvat i transport zaryadov v DNK mobilnymi diskretnymi brizerami”, Matem. biologiya i bioinform., 13:1 (2018), 1–12  mathnet  crossref
  • Number of views:
    This page:100
    Full text:29
    References:11

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019