Stability analysis of DNA with the effect of twist and Morse potential

Abstract We investigate the nonlinear dynamics of a DNA molecule system by using the Peyrard-Bishop model. The PB model brings out the charge transport in DNA with the influence of twisting and we detect the regions of instability through the linear stability analysis. There are two regimes where the modulated charge patterns can occur under twisted and also the over twisted conformations. Numerical simulations confirm our analytical predictions. We conclude that, when the DNA molecule is over twisted and in the absence of twisting, the system may lead to the breaking of the hydrogen bond between base pairs.