[Forced Oscillations of DNA Bases].

This paper presents the results of the studying of forced angular oscillations of the DNA bases with the help of the mathematical model consisting of two coupled nonlinear differential equations that take into account the effects of dissipation and the influence of an external periodic field. The calculation results are illustrated for sequence of gene encoding interferon alpha 17 (IFNA 17).

Rotational dynamics of bases in the gene coding interferon alpha 17 (IFNA17).

In the present work, rotational oscillations of nitrogenous bases in the DNA with the sequence of the gene coding interferon alpha 17 (IFNA17), are investigated. As a mathematical model simulating oscillations of the bases, we use a system of two coupled nonlinear partial differential equations that takes into account effects of dissipation, action of external fields and dependence of the equation coefficients on the sequence of bases. We apply the methods of the theory of oscillations to solve the equations in the linear approach and to construct the dispersive curves determining the dependence of the frequency of the plane waves (ω) on the wave vector (q). In the nonlinear case, the solutions in the form of kink are considered, and the main characteristics of the kink: the rest energy (E0), the rest mass (m0), the size (d) and sound velocity (C0), are calculated. With the help of the energetic method, the kink velocity (υ), the path (S), and the lifetime (τ) are also obtained.

Nonlinear dynamics of topological solitons in DNA.

Dynamics of topological solitons describing open states in the DNA double helix are studied in the framework of a model that takes into account asymmetry of the helix. It is shown that three types of topological solitons can occur in the DNA double chain. Interaction between the solitons, their interactions with the chain inhomogeneities, and stability of the solitons with respect to thermal oscillations are investigated.

Is DNA a nonlinear dynamical system where solitary conformational waves are possible?

DNA is considered as a nonlinear dynamical system in which solitary conformational waves can be excited. The history of the approach, the main results, and arguments in favour and against are presented. Perspectives are discussed pertaining to studies of DNA's nonlinear properties.

Dynamical form-factor of neutron scattering by DNA solitons.

Method of scattering of slow neutrons has been considered in recent years as a rather perspective way to study the nonlinear DNA dynamics. In this paper we present the results of theoretical calculations of the dynamical form-factor of the scattering. The calculations were made on the basis of the nonlinear mathematical model which takes into account rotational motions of bases around the sugar-phosphate chains. The results of the calculations are considered as predictions for further neutron scattering experiments.

Nonlinear waves in DNA and regulation of transcription.

The transmission of conformational changes along the DNA double helix is interpreted as a propagation of nonlinear solitary waves. Experimental and theoretical data in favour of this approach are presented. The possible role of nonlinear waves in regulation of transcription is discussed.