  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.
