An Interdisciplinary Journal

* 2007, Vol.10, No.3, pp.228-237*

In this article, the dynamics of a DNA chain is described by the Peyrard-Bishop-Dauxois model. A nucleotide pair oscillates with extremely high amplitude, which is called the resonance mode, when a nonlinear parameter of the nonlinear Schrödinger equation approaches to zero. This is a sort of parametric resonance as if some parameters change in time. It is explained that this could happen during the m-RNA transcription. It is well known that the transcription may happen only if the DNA chain opens locally. It is argued that this local opening of the DNA chain is nothing but the resonance behaviour.

It is also shown that the resonance, that is extremely high
amplitude of the nucleotide vibrations, occurs when the
frequencies of the in-phase and out-of-phase motions, usually
called acoustical and optical frequencies, are equal. This
practically means that the surrounding of a particular nucleotide
pair might be viewed as an external force. In addition, this gives
some information about possible values of a ratio between harmonic
constants of the longitudinal and the helicoidal springs.

*Key words: *
DNA dynamics, PBD model, resonance mode

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Last updated: *October 8, 2007*