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The study of macromolecular interactions by sedimentation equilibrium is a highly technical method that requires great care in both the experimental design and data analysis. The complexity of the interacting system that can be analyzed is only limited by the ability to deconvolute the exponential contributions of each of the species to the overall concentration gradient. This is achieved in part...
The rebirth of modern analytical ultracentrifugation (AUC) began in 1990s. Since then many advanced AUC detectors have been developed that provide a vast range of versatile choices when characterizing the physical and chemical features of macromolecules. In addition, there have been remarkable advances in software that allow the analysis of AUC data using more sophisticated models, including quaternary...
In 1962 H. Fujita (H. Fujita, Mathematical Theory of Sedimentation Analysis, Academic Press, New York, 1962) examined the possibility of transforming a quasi-continuous distribution g(s) of sedimentation coefficient s into a distribution f(M) of molecular weight M for linear polymers using the relation f(M)=g(s)·(ds/dM) and showed that this could be done if information about the relation between s...
Gleaning information regarding the molecular physiology of macromolecular complexes requires knowledge of their component stoichiometries. In this work, a relatively new means of analyzing sedimentation velocity (SV) data from the analytical ultracentrifuge is examined in detail. The method depends on collecting concentration profile data simultaneously using multiple signals, like Rayleigh interferometry...
Sedimentation velocity (SV) experiments of heterogeneous interacting systems exhibit characteristic boundary structures that can usually be very easily recognized and quantified. For slowly interacting systems, the boundaries represent concentrations of macromolecular species sedimenting at different rates, and they can be interpreted directly with population models based solely on the mass action...
Many recombinant proteins carry an oligohistidine (His X )-tag that allows their purification by immobilized metal affinity chromatography (IMAC). This tag can be exploited for the site-specific attachment of chromophores and fluorophores, using the same metal ion–nitrilotriacetic acid (NTA) coordination chemistry that forms the basis of popular versions of IMAC. Labeling proteins in this...
Analytical ultracentrifugation sedimentation velocity, which combines the separation of the macromolecules and the analysis of their transportation to reach a rigorous thermodynamics study offers a robust tool for characterizing the homogeneity and association state of membrane protein. Samples of solubilized membrane proteins are indeed complex multi-component systems where detergent micelles and...
Dimer–tetramer equilibrium of human adult hemoglobin in CO form (COHb A) and its mutants were measured by sedimentation velocity and sedimentation equilibrium. In sedimentation velocity, the association constants were estimated by measuring the concentration dependence of the weight average sedimentation coefficients at pH 6 and 7 and fitting the data to the theoretical binding isotherms with association...
The required performance of an analytical method depends on the purpose for which it will be used. As a methodology matures, it may find new application, and the performance demands placed on the method can increase. Sedimentation velocity analytical ultracentrifugation (SV-AUC) has a long and distinguished history with important contributions to molecular biology. Now the technique is transitioning...
The interaction of macromolecules with themselves and with other macromolecules is fundamental to the functioning of living systems. Recent advances in the analysis of sedimentation velocity (SV) data obtained by analytical ultracentrifugation allow the experimenter to determine important features of such interactions, including the equilibrium association constant and information about the kinetic...
The assembly of proteins into large fibrillar aggregates, known as amyloid fibrils, is associated with a number of common and debilitating diseases. In some cases, proteins deposit extracellularly, while in others the aggregation is intracellular. A common feature of these diseases is the presence of aggregates of different sizes, including mature fibrils, small oligomeric precursors, and other less...
Analytical ultracentrifugation and solution scattering provide different multi-parameter structural and compositional information on proteins. The joint application of the two methods supplements high resolution structural studies by crystallography and NMR. We summarise the procedures required to obtain equivalent ultracentrifugation and X-ray and neutron scattering data. The constrained modelling...
The general theory of sedimentation equilibrium (SE), applicable to mixtures of interacting sedimentable solutes at arbitrary concentration, is summarized. Practical techniques for the acquisition of SE data suitable for analysis are described. Experimental measurements and analyses of SE in concentrated protein solutions are reviewed. The method of non-ideal tracer sedimentation equilibrium (NITSE)...
Analytical ultracentrifugation (AUC) primarily serves to investigate hydrodynamic and thermodynamic properties of natural and synthetic macromolecules and colloids in solution, dispersion or suspension. Beside such more conventional use, AUC can support materials development particularly by combining different optical systems, if the AUC is equipped with such, or using complementary data evaluation...
The modern implementation of the boundary element method [23] has ushered unprecedented accuracy and precision for the solution of the Stokes equations of hydrodynamics with stick boundary conditions. This article begins by reviewing computations with the program BEST of smooth surface objects such as ellipsoids, the dumbbell, and cylinders that demonstrate that the numerical solution of the integral...
Linear macromolecules constitute a broad class of synthetic and natural polymers which are highly useful in various technologies and represent the key molecular systems in living nature. The study of the molecular characteristics of these polymers represents an important problem in fundamental and applied science. The methods of molecular hydrodynamics have been and remain an important way of studying...
Ultra-weak interactions (K d >100μM) between proteins have in the last decade become an increasing focus of attention in cell biology, especially in relation to cell–cell interactions and signalling processes. Methods for their quantitative definition are reviewed. NMR spectroscopy plays a major role in this area, as it not only can define interactions as weak or weaker than 3mM, but in...
The calculation of hydrodynamic and other solution properties from structural information (size and shape or flexibility) of macromolecules and nanoparticles is feasible thanks to existing theories and computational tools. Here we review our recent advances in the inverse problem of extracting structural information from those properties. The concepts of equivalent radii and ratios of radii are particularly...
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