Before revision:  We find that the radius of gyration R_g of the proteins exhibits 1/f fluctuations, that are synchronous with the fluctuations of D_I. Our analysis demonstrates the validity of the local Stokes-Einstein type relation D_I\propto1/ R_g between both quantities\sim0 . From the analysis of different protein types with both strong and weak conformational fluctuations the validity of the Stokes-Einstein type relation appears to be a general property.
After revision:  We find that the radius of gyration R_g of the proteins exhibits 1/f fluctuations, that are synchronous with the fluctuations of D_I. Our analysis demonstrates the validity of the local Stokes-Einstein type relation D_I\propto1/ R_g between both quantities\sim0.3 nm is assumed to be a hydration layer around the protein . From the analysis of different protein types with both strong and weak conformational fluctuations the validity of the Stokes-Einstein type relation appears to be a general property.