Sedimentation Velocity Experiments Research Articles

Characterisation of the molecular properties of scleroglucan as an alternative rigid rod molecule to xanthan gum for oropharyngeal dysphagia

Scleroglucan, a neutral β(1–3) glucan with β(1–6) glucan branches every third residue, is being considered as an alternative rod-like, shear thinning high molecular weight β-glucan based polysaccharide to xanthan gum for the management of patients with oropharyngeal dysphagia. It is therefore important to understand more fully its hydrodynamic properties in solution, in particular heterogeneity, molecular weight distribution and its behaviour in the presence of mucin glycoproteins. A commercially purified scleroglucan preparation produced by fermentation of the filamentous fungus Sclerotium rolfsii was analysed in deionised distilled water with 0.02% added azide. Sedimentation velocity in the analytical ultracentrifuge showed the scleroglucan preparation to be unimodal at concentrations >0.75 mg/ml which resolved into two components at lower concentration and with partial reversibility between the components. Sedimentation coefficient versus concentration plots showed significant hydrodynamic non-ideality. Self-association behaviour was confirmed by sedimentation equilibrium experiments with molecular weights between ~3 × 106 g/mol to ~5 × 106 g/mol after correcting for thermodynamic non-ideality. SEC-MALS-viscosity experiments showed a transition between a rod-shape at lower molar masses to a more flexible structure at higher masses consistent with previous observations. Sedimentation velocity experiments also showed no evidence for potentially problematic interactions with submaxillary mucin.

Characterisation of high molecular weight hop proanthocyanidins using Analytical Ultracentrifugation

We report the novel application of Analytical Ultracentrifugation (AUCF) to characterise the polymeric proanthocyanidin fraction of hops. Extraction of hop samples with 70% acetone (aq) followed by a C-18 Solid Phase Extraction yielded polyphenolic fractions for AUCF analysis. Sedimentation velocity experiments demonstrated the presence of discrete molecular weight bands of proanthocyanidins, as opposed to a continuous distribution of molecular weights. There were 4 such bands for Saaz hop (0.15, 1.1, 2.7 and 4.4S) and 3 bands for Magnum (0.15, 1.6 and 3.0S). The method resulted in a reproducible size (sedimentation coefficient) distribution for replicate runs of the same extract and for extracts prepared from different samples of the same hop variety. Sedimentation equilibrium experiments were then used to fit molecular weight distributions using the new SEDFIT-MSTAR method for the same samples. Thus we report for the first time polymeric proanthocyanidins in hops with molecular weights of up to 100 kDa in Saaz hop (or up to 56 kDa in Magnum). This represents the first application of AUCF to characterise complex fractions of polyphenolics extracted from botanical sources and the methodology developed should find wider application in the study of this diverse and bioactive class of compounds.

Characterization of the kinetics and activation thermodynamics of intra- and inter-organism hybrid tetramers of pyruvate carboxylase

In sedimentation velocity experiments, we have been able to detect hybrid Rhizobium etli pyruvate carboxylase tetramers formed between subunits that contain covalently bound biotin and mutant subunits that do not. This was performed by forming complexes of the tetramers with the biotin-binding protein avidin. In addition, we have shown that it is possible to form hybrid tetramers of pyruvate carboxylase subunits from two different organisms (bacteria - Rhizobium etli and fungi – Aspergillus nidulans). In hybrid tetramers containing mutant subunits that are not fully catalytically active and fully catalytically active subunits, the catalytic and regulatory properties of these hybrid tetramers are modified compared to homotetramers of the fully active pyruvate carboxylase subunits. Our data indicates that the model of catalysis involving half-of-the-sites activity in which there is obligatory alternation of pyruvate carboxylating activity between pairs of subunits either face of the tetramer, does not occur in the hybrid tetramers. Our results are also discussed in relation to recent findings that there are multiple pathways of biotin carboxylation and decarboxylation between subunits in pyruvate carboxylase tetramers.

Hydrogenated Diglucose Detergents for Membrane-Protein Extraction and Stabilization.

We report herein the design and synthesis of a novel series of alkyl glycoside detergents consisting of a nonionic polar headgroup that comprises two glucose moieties in a branched arrangement (DG), onto which octane-, decane-, and dodecanethiols were grafted leading to ODG, DDG, and DDDG detergents, respectively. Micellization in aqueous solution was studied by isothermal titration calorimetry, 1H NMR spectroscopy, and surface tensiometry. Critical micellar concentration values were found to decrease by a factor of ∼10 for each pair of methylene groups added to the alkyl chain, ranging from ∼0.05 to 9 mM for DDDG and ODG, respectively. Dynamic light scattering and analytical ultracentrifugation sedimentation velocity experiments were used to investigate the size and composition of the micellar aggregates, showing that the aggregation number significantly increased from ∼40 for ODG to ∼80 for DDDG. All new compounds were able to solubilize membrane proteins (MPs) from bacterial membranes, insect cells, as well as the Madin-Darby canine kidney cells. In particular, native human adenosine receptor (A2AR) and bacterial transporter (BmrA) were solubilized efficiently. Striking thermostability improvements of +13 and +8 °C were observed when ODG and DDG were, respectively, applied to wild-type and full-length A2AR. Taken together, this novel detergent series shows promising detergent potency for solubilization and stabilization of membrane proteins (MPs) and thus makes a valuable addition to the chemical toolbox available for extracting and handling these important but challenging MP targets.

Aggregation Profiling of C9orf72 Dipeptide Repeat Proteins Transgenically Expressed in Drosophila melanogaster Using an Analytical Ultracentrifuge Equipped with Fluorescence Detection.

The recent development of a fluorescence detection system for the analytical ultracentrifuge has allowed for the characterization of protein size and aggregation in complex mixtures. Protocols are described here to analyze protein aggregation seen in various human neurodegenerative diseases as they are presented in transgenic animal model systems. Proper preparation of crude extracts in appropriate sample buffers is critical for success in analyzing protein aggregation using sedimentation velocity methods. Furthermore, recent advances in sedimentation velocity analysis have led to data collection using single multispeed experiments, which may be analyzed using a wide distribution analysis approach. In this chapter, we describe the use of these new sedimentation velocity methods for faster determination of a wider range of sizes. In Chapter 7 of this book, we describe how agarose gel electrophoresis can be used to complement the analytical ultracentrifugation work, often as a prelude to careful biophysical analysis to help screen conditions in order to improve the success of sedimentation velocity experiments.

Size Analysis of C9orf72 Dipeptide Repeat Proteins Expressed in Drosophila melanogaster Using Semidenaturing Detergent Agarose Gel Electrophoresis.

This chapter supplements Chapter 6 on sample preparation and analysis using an analytical ultracentrifuge with fluorescence detection. In this related chapter, we describe how semidenaturing detergent agarose gel electrophoresis can be used to complement the analytical ultracentrifugation work, often as a prelude to careful biophysical analysis to help screen conditions to improve the success of sedimentation velocity experiments. We describe preparation of crude lysates made using Drosophila melanogaster and provide a protocol giving detailed instructions for successful fractionation of protein aggregates using SDD-AGE. While limited in resolving power, this method can identify fractionation in three pools based on sample migration in the gel: that of a monomer or limiting small oligomer species; intermediate aggregation pools, which are typically heterogeneous, represented as high retention smears; and large-scale aggregation, found caught up in the wells.

Band Sedimentation Experiment in Analytical Ultracentrifugation Revisited.

The band sedimentation experiment in analytical ultracentrifugation (AUC) allows for the performance of a chemical reaction inside the AUC and also offers separation of individual pure components in a sedimentation velocity experiment. Although this experiment offers exciting possibilities for application, it is barely used. This is related to the bad definition of the initial conditions. Both the duration and the time of the solution overlay during rotor acceleration are not known. In this study, we investigate these conditions under the variation of the overlay volume using recording of interference patterns in a continuous mode during the acceleration of the rotor. It was found that the overlay occurs at rotor speeds between 770 and 2000 rpm, which is very low compared to typical experimental rotor speeds from 3 000 to 60 000 rpm and therefore elucidates that the generated reaction products, respectively, overlaid species are subject to the centrifugal force almost from the beginning. Also, the duration of the overlay is less than 1.2 s, which is very fast compared to hours of centrifugation time for an experiment and we demonstrated that the overlay compartment is completely emptied during overlay allowing for the precise calculation of the meniscus using the known sample sector geometry. Our results show that the initial conditions of the experiment are defined and should make an adapted analysis possible if the interdiffusion of the two solvents is taken into account, which lead to a dynamic density gradient.

A radial calibration window for analytical ultracentrifugation.

Analytical ultracentrifugation (AUC) is a first-principles based method for studying macromolecules and particles in solution by monitoring the evolution of their radial concentration distribution as a function of time in the presence of a high centrifugal field. In sedimentation velocity experiments, hydrodynamic properties relating to size, shape, density, and solvation of particles can be measured, at a high hydrodynamic resolution, on polydisperse samples. In a recent multilaboratory benchmark study including data from commercial analytical ultracentrifuges in 67 laboratories, the calibration accuracy of the radial dimension was found to be one of the dominant factors limiting the accuracy of AUC. In the present work, we develop an artifact consisting of an accurately calibrated reflective pattern lithographically deposited onto an AUC window. It serves as a reticle when scanned in AUC control experiments for absolute calibration of radial magnification. After analysis of the pitch between landmarks in scans using different optical systems, we estimate that the residual uncertainty in radial magnification after external calibration with the radial scale artifact is ≈0.2 %, of similar magnitude to other important contributions after external calibration such as the uncertainty in temperature and time. The previous multilaboratory study had found many instruments with errors in radial measurements of 1 % to 2 %, and a few instruments with errors in excess of 15 %, meaning that the use of the artifact developed here could reduce errors by 5-to 10-fold or more. Adoption of external radial calibration is thus an important factor for assuring accuracy in studies related to molecular hydrodynamics and particle size measurements by AUC.

AUC measurements of diffusion coefficients of monoclonal antibodies in the presence of human serum proteins.

The goal of this work is to develop a preclinical method for quantitative hydrodynamic and thermodynamic analysis of therapeutic proteins in crowded environments like human serum. The method utilizes tracer amounts of fluorescently labeled monoclonal antibodies and the Aviv AU-FDS optical system. We have performed sedimentation velocity experiments as a function of mAb, human serum albumin and human IgG concentration to extract self- and cross-term hydrodynamic nonideality effects. SV measurements are consistently complicated by weak mAb-mAb and mAb-IgG interactions (Wright et al. in Anal Biochem 550:72-83, 2018). In an attempt to explore different approaches we have investigated measurements of diffusion coefficients by traditional synthetic boundary experiments. Here we present a new technique incorporated into SEDANAL that can globally analyze the full time course of synthetic boundary experiments. This approach also utilizes F-mAb against a high concentration of unlabeled carrier protein (HSA or IgG). In principle both diffusion and sedimentation coefficient information can be extracted including hydrodynamic and thermodynamic nonideality. The method can be performed at a traditional low speed (5-7Krpm) or at high speeds. The high speed method can also be used to measure D and s for small molecules like fluorescein (often contaminants of F-HSA and F-mAb). The advantage of synthetic boundary over the standard sedimentation velocity method is that it allows for higher precision determination of diffusion coefficients. The concentration dependence of D can be corrected for hydrodynamic nonideality effects by plotting D * (1 + kijcj) vs total carrier concentration. The slope of the fitted data allows an alternate approach to determine self- and cross-term thermodynamic nonideality. This method can also explore cross-term diffusion coefficient effects. These results are compared to dynamic light scattering approaches which are limited to kD determinations for solutions of pure protein.

Analytical band centrifugation revisited.

Analytical band centrifugation (ABC) is a powerful tool for the analysis of macromolecules and nanoparticles. Although it offers several advantages over the sedimentation velocity (SV) experiment like a physical separation of the individual components and the possibility to perform chemical reactions, its analysis is still very restricted. Therefore, we investigated the integration of ABC data as an alternative approach, as this results in data similar to SV, which can then be evaluated by many established evaluation programs. We investigated this method using two different test systems, myoglobin as a biopolymer with significant diffusion and 100nm polystyrene latex as a large particle with negligible diffusion, and found some limiting issues. These are namely, broadening of the initial boundary by diffusion of the sample, which can be taken into account and the dynamic density gradient between the solvent in the sector and the overlaid solution, which deforms the initial band upon movement through the gradient and is currently not taken into account. We show the influence these two factors have on the evaluation and show that it is possible to calculate the time-dependent change in solvent density and viscosity in the AUC cell using the integrated form of Fick's second law. We conclude that taking the dynamic density gradient into account will open ABC for the sophisticated methods based on the analysis of the whole sedimentation boundary and not just the determination of an average sedimentation coefficient.

Two-dimensional grid optimization for sedimentation velocity analysis in the analytical ultracentrifuge.

Sedimentation velocity experiments performed in the analytical ultracentrifuge are modeled using finite-element solutions of the Lamm equation. During modeling, three fundamental parameters are optimized: the sedimentation coefficients, the diffusion coefficients, and the partial concentrations of all solutes present in a mixture. A general modeling approach consists of fitting the partial concentrations of solutes defined in a two-dimensional grid of sedimentation and diffusion coefficient combinations that cover the range of possible solutes for a given mixture. An increasing number of grid points increase the resolution of the model produced by the subsequent analysis, with denser grids giving rise to a very large system of equations. Here, we evaluate the efficiency and resolution of several regular grids and show that traditionally defined grids tend to provide inadequate coverage in one region of the grid, while at the same time being computationally wasteful in other sections of the grid. We describe a rapid and systematic approach for generating efficient two-dimensional analysis grids that balance optimal information content and model resolution for a given signal-to-noise ratio with improved calculation efficiency. These findings are general and apply to one- and two-dimensional grids, although they no longer represent regular grids. We provide a recipe for an improved grid-point spacing in both directions which eliminates unnecessary points, while at the same time providing a more uniform resolution that can be scaled based on the stochastic noise in the experimental data.

Multi-speed sedimentation velocity simulations with UltraScan-III.

Recent developments in the UltraScan-III software make it possible to model multi-speed analytical ultracentrifugation sedimentation velocity experiments using finite-element solutions of the Lamm equation. Using simulated data, we demonstrate here how these innovations can be used to enhance the resolution of sedimentation velocity experiments when compared to single-speed experiments. Using heterogeneous systems covering as much as five orders of magnitude in molar mass and fivefold in anisotropy, we compare results from runs performed at multiple speeds to those obtained from single-speed experiments, fitted individually and analyzed globally over multiple speeds, and quantify resolution for sample heterogeneous in size and anisotropy. We also provide guidance on the design of multi-speed experiments and offer a program that can be used to deduce optimal spacing of rotor speeds and speed step durations when a few parameters from the experiment can be estimated. These include the meniscus position, the sedimentation coefficient of the largest species in a mixture, and a solute distribution. Our results show that errors observed in the determination of hydrodynamic parameters for system with great heterogeneity are markedly reduced when multi-speed analysis is employed.

Characterization of therapeutic antibodies in the presence of human serum proteins by AU-FDS analytical ultracentrifugation

The preclinical characterization of biopharmaceuticals seeks to determine the stability, state of aggregation, and interaction of the antibody/drug with other macromolecules in serum. Analytical ultracentrifugation is the best experimental method to understand these factors. Sedimentation velocity experiments using the AU-FDS system were performed in order to quantitatively characterize the nonideality of fluorescently labeled therapeutic antibodies in high concentrations of human serum proteins. The two most ubiquitous serum proteins are human serum albumin, HSA, and γ-globulins, predominantly IgG. Tracer experiments were done pairwise as a function of HSA, IgG, and therapeutic antibody concentration. The sedimentation coefficient for each fluorescently labeled component as a function of the concentration of the unlabeled component yields the hydrodynamic nonideality (ks). This generates a 3x3 matrix of ks values that describe the nonideality of each pairwise interaction. The ks matrix is validated by fitting both 2:1 mixtures of HSA (1–40 mg/ml) and IgG (0.5–20 mg/ml) as serum mimics, and human serum dilutions (10–100%). The data are well described by SEDANAL global fitting with the ks nonideality matrix. The ks values for antibodies are smaller than expected and appear to be masked by weak association. Global fitting to a ks and K2 model significantly improves the fits.

Multi-speed sedimentation velocity implementation in UltraScan-III

A framework for the global analysis of multi-speed analytical ultracentrifugation sedimentation velocity experiments is presented. We discuss extensions to the adaptive space-time finite element fitting methods implemented in UltraScan-III to model sedimentation velocity experiments where a single run is performed at multiple rotor speeds, and describe extensions in the optimization routines used for fitting experimental data collected at arbitrary multi-speed profiles. Our implementation considers factors such as speed dependent rotor stretching, the resulting radial shifting of the finite element solution's boundary conditions, and changes in the associated time-invariant noise. We also address the calculation of acceleration rates and acceleration zones from existing radial acceleration and time records, as well as utilization of the time state object available at high temporal resolution from the new Beckman Optima AUC instrument. Analysis methods in UltraScan-III support unconstrained models that extract reliable information for both the sedimentation and the diffusion coefficients. These methods do not rely on any assumptions and allow for arbitrary variations in both sedimentation and diffusion transport. We have adapted these routines for the multi-speed case, and developed optimized and general grid based fitting methods to handle changes in the information content of the simulation matrix for different speed steps. New graphical simulation tools are presented that assist the investigator to estimate suitable grid metrics and evaluate information content based on edit profiles for individual experiments.

Dissecting the molecular basis of a phenylketonuria‐causing mutation in phenylalanine hydroxylase

Phenylketonuria (PKU) is a metabolic disorder in which the conversion of excess dietary phenylalanine to tyrosine is disrupted. Phenylalanine hydroxylase (PheH) is responsible for this hydroxylation reaction and uses tetrahydrobiopterin (BH4) and molecular oxygen as cosubstrates. The prevalence of PKU in the U.S. is 1 in 10,000 newborns and was the leading cause of mental retardation prior to the discovery of treatment by a protein‐restricted diet. R68S PheH has been shown to cause a mild form of PKU but the mechanism of action has been controversial. Studies have reported that mutations to Arg68 cause the enzyme to become fully active and lose sensitivity to phenylalanine as an allosteric activator. Arg68 is located in the regulatory domain of PheH, which is responsible for the activation of the enzyme. The current model for activation states that the regulatory domains of two subunits on the tetrameric PheH exist in a monomer‐dimer equilibrium and the dimer is stabilized by binding of phenylalanine. We characterized R68S PheH and found that the R68S PheH is fully active compared to the wild‐type enzyme. Sedimentation velocity experiments showed the isolated regulatory domain of R68S PheH does experience a concentration‐dependent shift from a monomer to a dimer; however, phenylalanine had no effect on this shift. The mutant protein displayed a fluorescence emission spectrum different from that of the wild‐type protein that is unchanged in the presence of phenylalanine. SAXS experiments showed no transitions when the protein was treated with 1 mM phenylalanine. Limited proteolysis experiments showed R68S PheH was more proteolytically sensitive than wild‐type PheH. The data suggest that R68S PheH exhibits constitutively active behavior due to the destabilization of the regulatory domain, which causes the protein to be more proteolytically sensitive.Support or Funding InformationNIH F31GM116452This abstract is from the Experimental Biology 2018 Meeting. There is no full text article associated with this abstract published in The FASEB Journal.

Characterisation of insulin analogues therapeutically available to patients.

The structure and function of clinical dosage insulin and its analogues were assessed. This included ‘native insulins’ (human recombinant, bovine, porcine), ‘fast-acting analogues’ (aspart, glulisine, lispro) and ‘slow-acting analogues’ (glargine, detemir, degludec). Analytical ultracentrifugation, both sedimentation velocity and equilibrium experiments, were employed to yield distributions of both molar mass and sedimentation coefficient of all nine insulins. Size exclusion chromatography, coupled to multi-angle light scattering, was also used to explore the function of these analogues. On ultracentrifugation analysis, the insulins under investigation were found to be in numerous conformational states, however the majority of insulins were present in a primarily hexameric conformation. This was true for all native insulins and two fast-acting analogues. However, glargine was present as a dimer, detemir was a multi-hexameric system, degludec was a dodecamer (di-hexamer) and glulisine was present as a dimer-hexamer-dihexamer system. However, size-exclusion chromatography showed that the two hexameric fast-acting analogues (aspart and lispro) dissociated into monomers and dimers due to the lack of zinc in the mobile phase. This comprehensive study is the first time all nine insulins have been characterised in this way, the first time that insulin detemir have been studied using analytical ultracentrifugation and the first time that insulins aspart and glulisine have been studied using sedimentation equilibrium. The structure and function of these clinically administered insulins is of critical importance and this research adds novel data to an otherwise complex functional physiological protein.

Interaction studies of a protein and carbohydrate system using an integrated approach: a case study of the miniagrin-heparin system.

The major challenges in biophysical characterization of human protein-carbohydrate interactions are obtaining monodispersed preparations of human proteins that are often post-translationally modified and lack of detection of carbohydrates by traditional detection systems. Light scattering (dynamic and static) techniques offer detection of biomolecules and their complexes based on their size and shape, and do not rely on chromophore groups (such as aromatic amino acid sidechains). In this study, we utilized dynamic light scattering, analytical ultracentrifugation and small-angle X-ray scattering techniques to investigate the solution properties of a complex resulting from the interaction between a 15kDa heparin preparation and miniagrin, a miniaturized version of agrin. Results from dynamic light scattering, sedimentation equilibrium, and sedimentation velocity experiments signify the formation of a monodisperse complex with 1:1 stoichiometry, and low-resolution structures derived from the small-angle X-ray scattering measurements implicate an extended conformation for a side-by-side miniagrin‒heparin complex.

POx as an Alternative to PEG? A Hydrodynamic and Light Scattering Study

Poly(ethylene glycol)s (PEG) are widely and intensely used in the pharmaceutical industry and biomedical applications, and due to this fact, antibodies have recently been reported. Poly(2-oxazoline)s (POx) are promising candidates for potential replacement of PEG in related applications, and as such, their hydrodynamic properties and characteristics derived from light scattering experiments are important to reconcile their behavior in solution. In this study, we have investigated the molecular hydrodynamic characteristics of poly(2-methyl-2-oxazoline)s and poly(2-ethyl-2-oxazoline)s in the pharmaceutical molar mass range as base candidates for such applications, prepared by cationic ring-opening polymerization in a microwave reactor. A combined viscometry and sedimentation–diffusion analysis by using sedimentation velocity experiments in an analytical ultracentrifuge includes (i) the study of intrinsic viscosities, (ii) sedimentation coefficients, and (iii) derived translational diffusion coefficients. Th...

Sedimentation Boundary Structure of Multi-Component Solutions with Rapidly Reversible Interactions

The coupled transport behavior of macromolecular mixtures with rapidly reversible complex formation is of great interest in the study of protein interactions by many different methods. Complicated transport patterns arise even for simple bimolecular reactions, when all species exhibit different migration velocities, yet are coupled by mass action law. Although partial differential equations are available to describe the spatial and temporal evolution of such systems given particular initial conditions, these are often not useful to fit imperfect experimental data, and do not yield any insight into the transport mechanism and phase behavior of the systems in parameter space. For two-component systems, based on the limit of non-diffusing species migrating under constant force, we have previously derived simple algebraic relationships describing the number, amplitude, and velocity of sedimentation boundaries, which are consistent with the principle that the time-average velocity of all co-sedimenting components must match in each boundary. These can be considered ‘effective particles’, and their properties can be related to parameters extracted from experimental sedimentation profiles. Here, we generalize this effective particle theory to N-component systems. These can have N-2 reaction boundaries of successively lower velocity and number of components. We report algebraic relationships for velocities and composition. The concentration space is subdivided into regions exhibiting different boundary patterns with discontinuous transitions along characteristic subspaces. The extension of the effective particle theory provides physical insights into the coupled co-migration processes, and can be used to interpret boundary patterns derived from experimentally measured sedimentation coefficient distributions. It can be used to plan multi-component sedimentation velocity experiments to determine binding constants and complex stoichiometries.

Allowance for boundary sharpening in the determination of diffusion coefficients by sedimentation velocity: a historical perspective.

This review summarizes endeavors undertaken in the middle of last century to employ the Lamm equation for quantitative analysis of boundary spreading in sedimentation velocity experiments on globular proteins, thereby illustrating the ingenuity required to achieve that goal in an era when an approximate analytical solution of that nonlinear differential equation of second order provided the only means for its application. Application of procedures based on that approximate solution to simulated sedimentation velocity distributions has revealed a slight disparity (about 3%) between returned and input values of the diffusion coefficient-a discrepancy comparable with that of estimates obtained by current simulative analyses based on numerical solution of the Lamm equation. Although the massive technological developments in the gathering and treatment of sedimentation velocity data over the past three to four decades have changed dramatically the manner in which boundary spreading is analyzed, they have not led to any significant improvement in the accuracy of the diffusion coefficient thereby deduced.