ABSTRACT

According to the features of molecular structure conformation changes of DNA we rebuild the dynamic model of nonlinear excitations in it. We stress the important role of the hydrogen atom in the hydrogen bonds in DNA and take into account its motion. This model has three degrees of freedom per base: two vibrational variables related to the vibration of the hydrogen atom in the hydrogen bonds and base (nucleotide), respectively, and an angular one related to the rotation of each base. We give the Hamiltonian of the systems and found out some solutions of the equations of motion. This model claims an energy-localization process which is helpful to explain the small-amplitude expansion and “melting” of the hydrogen bonds and DNA base-pairs open and local unwinding of the helixs.