DNA base pairs openings perturbed by the surrounding medium

Using a mathematical spin-like model of DNA molecule, we have studied its dynamics, by taking into account forces due to the surrounding medium. Thus, we have shown the robustness of bubble-like solitons, by mathematically modeling the nonlinear interaction between the DNA and an enzyme at the physiological temperature. Noise, damping, and driving forces are added to get a set of deterministic discrete motion equations. Numerical results show that the bubble-like soliton is initially stable but after a long time the system becomes more disordered due to the noises and the soliton would be covered up by these noises. While viscosity makes amplitude to damp out, driving force put energy on it, and both simultaneous effects offset each other.