Abstract
All the functions of DNA depend on interactions with proteins. We proposed a model to describe the interaction between of them. For the simplest model, we took adenine and thymine molecule to represented each molecule. The interactions adapted from binding hydrogen atoms of the molecule. The General Hylleraas potential were used to describe both of the interactions. We proposed the Hamiltonian equation to describe the general model of interaction. The stability of the model from the DNA-protein interaction was investigated with Lyapunov function. We also have determined the equation of spectrum energy of the interaction model using WKB approximation method.
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