Dynamics of superhelical DNA studied by photon correlation spectroscopy

We have conducted photon correlation spectroscopy (PCS) studies on the plasmid pUC8 (2717 bp) in order to elucidate the internal dynamics of this superhelical DNA. We confirm that the first-order autocorrelation function of the scattered light from pUC8 solutions can be separated into two distinct exponential decay components, as first shown by Lewis et al. (R. Lewis, J.H. Huang and P. Pecora, Macromolecules 18 (1985) 944). A thorough analysis of the dependence on scattering vector K of the rates and amplitudes of the two components enables us to assign the slowly relaxing part to the center-of-mass diffusion of the DNA, while the faster component corresponds to rotational, bending and twisting motions of the superhelix. For larger K values the internal motions can be formally expressed in terms of an 'internal diffusion coefficient' Di, whose value of 2.0-2.5 X 10(-11) m2 s-1 is approximately equal to the translational diffusion coefficient predicted for a stiff DNA piece of the persistence length, 65 nm. Comparison of our measured Di values to those predicted from a recent theory of circular worm-like coils (K. Soda, Macromolecules 17 (1984) 2365) shows that the internal motions are faster than the theoretical values. One of the reasons for this discrepancy could be that the theory does not take into account torsional motions, which contribute significantly to the internal dynamics (J.C. Thomas, S.A. Allison, C.J. Appelof and J.M. Schurr, Biophys. Chem. 12 (1980) 177). At low K values, the fast relaxation of superhelical pUC8 is no longer proportional to K2, but reaches a constant value as K approaches zero. This behavior, not seen for the linearized DNA, can be interpreted in terms of rotational diffusion of a flexible rod-like molecule (T. Maeda and S. Fujime, Macromolecules 17 (1984) 2381) and supports an interwound rod-like structure for pUC8 DNA with an average end-to-end distance of 220 nm.