Conference Paper

Moving Breather Collisions in the Peyrard-Bishop DNA Model.

DOI: 10.1007/978-3-642-02466-5_39 Conference: Complex Sciences, First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1
Source: DBLP


We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, separated
by a fixed number of pair-bases, are perturbed and begin to move approaching to each other with the same module of velocity.
The outcome is strongly dependent of both the velocity of the MBs and the number of pair-bases that initially separates the
stationary breathers. Some collisions result in the generation of a new stationary trapped breather of larger energy. Other
collisions result in the generation of two new MBs. In the DNA molecule, the trapping phenomenon could be part of the complex
mechanisms involved in the initiation of the transcription processes.

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Available from: Juan F. R. Archilla, Oct 02, 2015
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    ABSTRACT: The Peyrard-Bishop model, which describes the dynamics of a DNA molecule, is considered. The solutions that represent discrete breathers are derived in the framework of the model. The dynamic stability of the stationary discrete breathers with respect to small perturbations is studied. The solutions can be interpreted as the experimentally observed opening of the base pairs in the DNA double strand at the initial stages of denaturation. It is also demonstrated that the model allows the existence of mobile breathers that move in the absence of perturbations in the environment. The interaction of the mobile breathers is numerically simulated. The Peierls-Nabarro barrier and the effective mass and velocity of the breather are estimated.
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