Relationship Between Structural Fractal and Possible Dynamic Scaling Properties in Protein Folding

In this letter, the possible dynamic scaling properties of protein molecules in folding are investigated theoretically by assuming that the protein molecules are percolated networks. It is shown that the fractal character and the fractal dimensionality may exist only for short sequences in large protein molecules and small protein molecules with homogeneous structure, the fractal dimensionality are obtained for different structures. We then show that there might exist the dynamic scaling properties in protein folding, the critical exponents in the folding for some small global proteins with homogeneous structure are obtained. The dynamic critical exponents of the global proteins in folding are relevant to the fractal dimensionality of its structure, which implies the close relationship between the dynamic process in protein folding and its structure kinematics.