Sedimentation in a Time-Varying Centrifugal Field for Rapid Attainment of Sedimentation Equilibrium

Abstract

Sedimentation equilibrium (SE) analytical ultracentrifugation is a gold standard for the rigorous thermodynamic study of buoyant molecular weight and reversible interactions of macromolecules in solution. A significant drawback is the long experiment time, as it takes days to attain SE with standard solution columns. We have developed a new method for using a time-varying centrifugal field optimized such as to attain SE in significantly shorter time than usually required. Experimental data show that this permits long-column SE experiments to be carried out in times comparable to sedimentation velocity experiments, approximately fivefold shorter than standard SE. In contrast to the classical initial overspeeding method, which uses a single initial speed, we employ a freely varying rotor speed profile during an initial phase, for example, parameterized as a step-wise modulated exponential decay to the desired SE rotor speed. The rotor speed schedule is computationally optimized on the basis of numerical Lamm equation solutions for given macromolecular sedimentation parameter estimates, with the goal to provide a rapid attainment of equilibrium without the drawback of strong transient sample pre-concentration at the base of the solution column. The resulting rotor speed schedule frequently includes both over- and under-speeding sequences, and can be conveniently implemented on the Optima XLA/I analytical ultracentrifuge. We extended AUC data analysis models in SEDFIT to permit the analysis of concentration profiles in arbitrarily time-varying fields, to make it possible to exploit the migration in the initially high centrifugal field for estimates on macromolecular sedimentation parameters, which may be used in real-time to refine the prediction of the rotor speed schedule, so that the SE experiment can be optimized in both information content and time efficiency.