Moving Breather Collisions in the Peyrard-Bishop DNA Model

Abstract

Abstract. 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.

Mobile breathers in a Nonlinear model for DNA breathing

“…In fact, many breathers trapped collide and facilitate the transcript process (for a review, see 20 ). The theory of control optimum can be used for explore the effective breather trapped.…”

“…We conjecture that "hump" Morse potential with appropriate initial velocity of mobile breather and impurity can generate a trapped breather. The results of the simulations can be applied to study of moving breather collisions in the PBD model (for a review, see 20 ).…”