Journal of Theoretical
and Applied Mechanics

48, 1, pp. 219-231, Warsaw 2010

Eigen modes of the double DNA chain helix vibrations

Katica R. (Stevanović) Hedrih, Andjelka N. Hedrih
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: DNA; eigen main chains; eigen circular frequency; vibration modes