Prediction of the rotational diffusion behavior of biopolymers on the basis of their solution or crystal structure

Two low structure-resolution methods are proposed for prediction of rotational diffusion parameters. The indirect procedure is based on the structure of a molecule in solution or in crystal, and uses the structure parameters of radius of gyration, and low-resolution molecular surface and volume, determined from measured or theoretically calculated small-angle x-ray scattering intensities, to estimate a frictional equivalent ellipsoid of revolution. The direct method starts mainly from the crystallographic structure of a molecule and calculates the triaxial inertia equivalent ellipsoid, experimentally calibrated by translation diffusion data, to simulate the frictional behavior. The predicted harmonic mean of the rotational correlation times of compact globular macromolecules with molar masses of 14,000-65,000 g/mol agree with experimental results within the error limits. The prediction method is recommended for expert systems in structure research and for detection of internal protein flexibility or marker mobility by nmr and electron paramagnetic resonance experiments.