Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian Russian English English About Journal | Issues | Editorial Board | Contact Us
 


IssuesArchive of Issues2013-4pp.392-400

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 77, Issue 4 / 2013 | Next article >>
J. Awrejcewicz, S. Mlynarska, and L.V. Yakushevich, "Non-linear oscillations of DNA base pairs," J. Appl. Math. Mech. 77 (4), 392-400 (2013)
Year 2013 Volume 77 Issue 4 Pages 392-400
Title Non-linear oscillations of DNA base pairs
Author(s) J. Awrejcewicz (Lodz, Poland)
S. Mlynarska (Lodz, Poland)
L.V. Yakushevich (Pushchino, Russia, yakushev@icb.psh.ru)
Abstract Non-linear oscillations of the nitrogenous bases of DNA, which form pairs: adenine - thymine or guanine - cytosine, are considered. An approach is used in which this biophysical problem can be reduced to a mechanical problem of the non-linear oscillations of two coupled dissimilar pendulums, which oscillate in a plane orthogonal to the principal axis of the molecule. The dynamics of such a model system are analysed. Singular points are obtained in phase space. The eigenvalues of the Jacobi matrix are calculated. The behaviour of the model system close to the singular points is described. The results are illustrated in the form of graphs of the solutions of the corresponding model equations and graphs of the trajectories of motion in configuration space.
Received 20 September 2011
Link to Fulltext
<< Previous article | Volume 77, Issue 4 / 2013 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149 pmm@ipmnet.ru pmmedit@ipmnet.ru https://pmm.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Journal of Applied Mathematics and Mechanics
webmaster
Rambler's Top100