Authors: Hedrih, Katica (Stevanović) 
Hedrih, Anđelka 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Eigen modes of the double DNA chain helix vibrations
Journal: Journal of Theoretical and Applied Mechanics
Volume: 48
Issue: 1
First page: 219
Last page: 231
Issue Date: 1-Jan-2010
Rank: M23
ISSN: 1429-2955
Different models of two coupled homogeneous DNA chain vibrations are proposed in the literature. By using as the basic approach to the DNA mathematical modelling published by N. Kovaleva, L. Manevich in 2005 and 2007, we consider a linearized model to obtain main chain subsystems of the double DNA helix. Analytical expressions of the circular eigen frequencies for the homogeneous model of the double DNA chain helix are obtained. The corresponding vibration eigen modes and possibilities of the appearance of resonant regimes as well as dynamical absorption under external excitations are considered. Two sets of normal eigen coordinates of the double DNA chain helix for separation of the system into two uncoupled chains are identified. This may correspond to the base pair order in complementary chains of the DNA double helix in a living cell.
Keywords: Eigen circular frequency | Eigen main chains | Vibrationmodes
Publisher: Warsaw University of Technology
Project: Ministry of Sciences and Technology of Republic of Serbia through Mathematical Institute SANU Belgrade Grant ON144002 "Theoretical and Applied Mechanics of Rigid and Solid Body. Mechanics of Materials"
Ministry of Sciences and Technology of Republic of Serbia through Faculty of Technology and Metalurgy, Belgrade, Grant ON142075

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