Measurements of small changes in molecular weight are essential for the analysis of both strongly and weakly self-associating proteins and for the study of the effect of ligands on the association-dissociation equilibria. In addition, such measurements provide the basis for interpreting data from difference sedimentation velocity experiments since changes in sedimentation coefficients are due to either alterations in frictional coefficients or to shifts in association-dissociation equilibria involving monomers and oligomers. Since very small changes in molecular weight can be determined only indirectly from separate experiments and conventional methods have lim-* the