Mobility models for stiff and flexible macromolecules in dilute gels

The effective sphere approximation for modeling electrophoretic transport of macromolecules in highly porous gels (the “Ogston model”) is examined, and contrasted with similar mobility models for stiff and flexible solutes. Calculation of segmental depletion near gel obstacles of various shapes demonstrates the limited applicability of the effective sphere approach. For highly flexible chains, both theory and experiment reveal a nonunique mapping between mobility and molecular size when the molecular radius is comparable to that of gel fibers. Turning to mobility behavior in more concentrated gels, neither flexible or stiff macromolecules behave as spheres; for the particular case of flexible chains, the presence of entropic barriers in concentrated gels can be understood in terms of a simple random planes model for the gel structure.