Analytical ultracentrifugation: sedimentation velocity and sedimentation equilibrium

Analytical ultracentrifugation (AUC) is a versatile and powerful method for the quantitative analysis of macromolecules in solution. AUC has broad applications for the study of biomacromolecules in a wide range of solvents and over a wide range of solute concentrations. Three optical systems are available for the analytical ultracentrifuge (absorbance, interference, and fluorescence) that permit precise and selective observation of sedimentation in real time. In particular, the fluorescence system provides a new way to extend the scope of AUC to probe the behavior of biological molecules in complex mixtures and at high solute concentrations. In sedimentation velocity (SV), the movement of solutes in high centrifugal fields is interpreted using hydrodynamic theory to define the size, shape, and interactions of macromolecules. Sedimentation equilibrium (SE) is a thermodynamic method where equilibrium concentration gradients at lower centrifugal fields are analyzed to define molecule mass, assembly stoichiometry, association constants, and solution nonideality. Using specialized sample cells and modern analysis software, researchers can use SV to determine the homogeneity of a sample and define whether it undergoes concentration-dependent association reactions. Subsequently, more thorough model-dependent analysis of velocity and equilibrium experiments can provide a detailed picture of the nature of the species present in solution and their interactions.

Valence and anion binding of bovine ribonuclease A between pH 6 and 8

Several studies have shown that divalent anion binding to ribonuclease A (RNase A) contributes to RNase A folding and stability. However, there are conflicting reports about whether chloride binds to or stabilizes RNase A. Two broad-zone experimental approaches, membrane-confined electrophoresis and analytical ultracentrifugation, were used to examine the electrostatic and electrohydrodynamic characteristics of aqueous solutions of bovine RNase A in the presence of 100 mM KCl and 10 mM Bis-Tris propane over a pH range of 6.00-8.00. The results of data analysis using a Debye-Huckel-Henry model, compared with expectations based on pK(A) values, are consistent with the binding of two chlorides by RNase A. The decreased protein valence resulting from anion binding contributes 2-3 kJ/mol to protein stabilization. This work demonstrates the utility of first-principle valence determinations to detect protein solution properties that might otherwise remain undetected.

Nonequilibrium thermodynamics of membrane-confined electrophoresis

Membrane-confined electrophoresis (MCE) is an electrophoretic transport method in which macromolecules in solution are confined within a cuvette through which a current flows. Small ions that can permeate the membranes permit current flow. The method is the electrophoretic analog to analytical ultracentrifugation. Systems in the MCE instrument are described by nonequilibrium thermodynamics. This description forms the basis of a program, implemented using finite element methods, that can model transport processes in such systems over an extended time, from arbitrary starting conditions to steady state. Issues relevant to the analysis of systems in which macromolecular species are involved in mass-action associations are discussed. Particular attention is given to steady-state electrophoresis, from which measurements of reduced molecular charge are sought. The relationship of such measurements to valence is discussed.

Use of T4 lysozyme charge mutants to examine electrophoretic models

The electrophoretic mobility of a macro-ion is affected in a complex manner by a variety of forces that arise from the applied field. Coupling of the macro-ion and small-ion flows gives rise to non-conserved forces that are greater than those expected from ordinary hydrodynamic considerations. It is difficult to separate the steady-state hydrodynamic and electrodynamic contributions to the macro-ion mobility. Membrane-confined electrophoresis (MCE), a free solution technique, provides an experimental means by which to gain insight into these contributions. In this work we used MCE steady-state electrophoresis (SSE) of a series of T4 lysozyme charge mutants to investigate these effects and to examine the existing theoretical descriptions. These experiments isolate the effects of charge on electrophoretic mobility and permit a unique test of theories by Debye-Hückel-Henry, Booth and Allison. Our results show that for wild type (WT) T4, where divergence is expected to be greatest, the predicted results are within 15, 8 and 1%, respectively, of experimental SSE results. Parallel experiments using another free-solution technique, capillary electrophoresis, were in good agreement with MCE results. The theoretical predictions were within 20, 13 and 5% of CE mobilities for WT. Boundary element modeling by Allison and co-workers, using continuum hydrodynamics based on detailed structural information, provides predictions in excellent agreement with experimental results at ionic strengths of 0.11 M.

An apparatus for membrane-confined analytical electrophoresis

A membrane-confined analytical electrophoresis apparatus for measuring the solution charge of macromolecules has been described previously (T. M. Laue et al., Anal. Biochem. 1989, 182, 377-382). Presented here is a design for this apparatus, which permits the on-line acquisition and display of absorbance data from up to 512 positions along an analysis chamber. Concentration distributions of macromolecules in solution can be monitored in the chamber to provide steady-state electrophoresis, electrophoretic mobility and diffusion measurements. Buffer chambers press semipermeable membranes against the open ends of a fused-silica cuvette to form the analysis chamber. This configuration permits both the flow of buffer and the establishment of an electric field across the cuvette, while retaining macromolecules in the field of view. Though a gel may be included in the analysis chamber, none is required for gradient stabilization. The volume of sample required for analysis is 8 microL, most of which is recoverable. Experimental conditions can be varied during study by simply changing the circulating buffer and/or the electric field. The analysis and buffer chambers are held in an aluminum housing that sits in an aluminum water jacket. The water jacket provides temperature control, shielding from external electrical noise and also serves as an optical mask. Plans for the cell assembly, optical system and the computer interface for data acquisition are provided. The assembly and operation of the apparatus and the analysis of data are described.

Insights from a new analytical electrophoresis apparatus

Charge is a fundamental property of macromolecules that is inextricably linked to their structure, solubility, stability, and interactions. Progress has been made on the theoretical and structural aspects of these relationships. However, for several reasons, charge is difficult to measure in solution. Consequently, there is a lack of experimental data that, independent of other macro-ion properties, determines the effective charge. To overcome this problem, novel instrumentation and methods are being developed in our laboratory. Described here is an analytical electrophoresis apparatus that permits both the measurement of electrophoretic mobilities and the determination of steady-state electrophoresis concentration distributions. The latter provides a different-perspective on the processes that influence macro-ion behavior in an electric field. In addition, the apparatus permits the determination of diffusion coefficients either from boundary spreading during transport or from the decay of a concentration gradient. All of these determinations can be made with a single, 8-microL sample in a variety of solvents, thus providing unique insights into the charge properties of a macro-ion. Presented here is a progress report about this emerging technology, including the description of a prototype apparatus and examples of its use with a DNA oligonucleotide.

Turbidimetric studies of Limulus coagulin gel formation

The turbidity during trypsin-induced coagulin gel formation was studied over a range of wavelengths. The range of wavelengths used (686-326 nm) also made it possible to investigate the dependence of turbidity on wavelength (the wavelength exponent). Using the results from that work, and structural information on coagulin and the coagulin gel from other studies, a model gel-forming system was designed that consists of species for which the turbidity can be calculated relatively simply. These species include small particles (small in all dimensions relative to the wavelength of incident light); long rods and long random coils (particles that are large in just one dimension relative to the wavelength of incident light); and reflective regions (aggregated material that is large in more than one dimension relative to the wavelength of incident light). The turbidimetric characteristics of the real coagulin gel-forming system are compared with those of the model system.