New Solution for Charge Transport in DNA Model with Generalized Morse Potential

Abstract

This paper is concerned with the global weak solution for charge transport DNA model with vibrational and rotational coupling motion. For that we use the theory of semigroup according to rewrite in vector form the system obtained from the dynamics of the Peyrard-Bishop model for vibrational motion of DNA dynamics. We consider an abstract initial value problem, which we show that, under suitable assumptions the system supports a single global weak solution satisfying the given initial condition, for that one, we consider the Sobolev spaces which will solve the Cauchy problem. We present our result developed in Matlab for the calculation of the average stretching amplitude for a Morse potential dependent on a parameter q (generalized Morse potential). The emphasis is on the inverse relationship between of the average distance of a DNA breathing and the “q” values of the generalized Morse potential.