MODELING OF MOTION OF CONFORMATIONAL PERTURBATIONS IN DNA MOLECULE WITH ACCOUNT OF RNA POLYMERASE
The dynamics of the motion of conformational perturbations in homogeneous and inhomogeneous models of the DNA molecule under the influence of RNA polymerase is studied. It is shown that solutions in the form of moving breathers are observed in homogeneous and inhomogeneous chains. With the increase of initial velocities, the time of transformation of the initial perturbations in the form of two-soliton solutions into moving breathers decreases. It is shown that slow motion of the breather is observed in homogeneous chains due to the interaction of DNA with RNA polymerase. In inhomogeneous chains, owing to the RNA polymerase, the soliton is not subjected to pinning. The dynamics of a soliton at the presence of RNA polymerase depends entirely on the initial velocity of the polymerase and it is independent on the velocity of the initial perturbation. It is also insensitive to the heterogeneity of the DNA molecule.