  We propose a dynamical model depicting the interactions between DNA and a
specific binding protein involving long range transmissions. The dynamics rely
on the coupling between Hydrogen bonds formed between DNA and protein and
between the base pairs because they account for site specificity of the
binding. We adopt the Morse potential with coupling terms to construct the
Hamiltonian. This model gives rise to a breather excitation, corresponding to
the DNA bubble formation, which propagates as the carrier of genetic
information. We examine the various kind of possible coupling dynamics and
suggest the model feasibility in depicting the renaturation or hybridization
processes.
