Band centrifugation of macromolecules in self-generating density gradients. II. Sedimentation and diffusion of macromolecules in bands

Size Distribution Analysis of the Adeno-Associated Virus Vector by the c(s) Analysis of Band Sedimentation Analytical Ultracentrifugation with Multiwavelength Detection

Adeno-associated virus (AAV) vector is a promising platform for in vivo gene therapy. The accurate assessment of distribution state of particles contained in AAV vector samples is one of the most important and challenging matters and is necessary because the product-related impurities with the capsid structure (empty particles, intermediate particles, and aggregates) could be a possible cause of reducing the therapeutic efficacy and enhancing the unfavorable immune response. In this study, we report an effective approach for size distribution analysis with component identification. A small amount of AAV vectors were used by the analytical zone centrifugation c(s) analysis of band sedimentation analytical ultracentrifugation (BS-AUC) with multiwavelength detection. Using PBS/H₂¹⁸O, the concentration of each component could be determined in BS-AUC with high resolution. Compared with the sedimentation velocity AUC (SV-AUC), which generally requires 2 × 10¹² vg of AAV vectors, BS-AUC could be performed with about 1/25 of the AAV vector amount at 260 nm detection and ideally with about 1/50 of the AAV vector amount at 230 nm detection (4 × 10¹⁰ vg), depending on the extinction coefficient of the AAV sample at each wavelength. According to the limit of quantification of this BS-AUC, 6.3 × 10¹¹ cp mL^-1 of empty particle (EP) and 4.4 × 10¹¹ vg mL^-1 of full particle (FP) could be quantified for 4 × 10¹⁰ vg in 15 µL of AAV8-CMV-EGFP. These results demonstrated that proposed BS-AUC approach we established here can compensate for the drawback in terms of the sample amount of SV-AUC.

Analytical band centrifugation for the separation and quantification of empty and full AAV particles

Analytical band centrifugation (ABC) was first developed for the separation of macromolecules in centrifugation cells ~60 years ago. Since its development, ABC has been predominantly utilized to study macromolecular interactions or chemical reactions between two solutions in situ upon mixing. In this current study, we evaluated ABC separations on modern analytical ultracentrifugation (AUC) instruments for therapeutic adeno-associated viruses (AAVs). ABC provided sufficient separation between the genome-containing full AAV particle and the empty AAV capsid, which need to be controlled during the manufacturing process. Because ABC produces a physical separation, no complex algorithm or sophisticated software is needed to process the experimental raw data. ABC profiles, dubbed "centrifugrams", can be analyzed with a similar approach as typically used for electrophoretic separations to produce relative percent area. Sedimentation coefficients (s) of analytes can also be determined from ABC. The relative area percent and s value obtained in ABC experiments were shown to be consistent with those determined by conventional sedimentation velocity AUC (SV-AUC). Additionally, the separation and quantification by ABC were found to be reproducible and did not appear to be sensitive to experimental variations of initial rotor temperature or cell misalignment. The robustness of the separation, ease of data processing, and universal applicability for analysis of different AAV serotypes make ABC a promising technique for routine analysis of empty and full AAV particle composition in therapeutic products.

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.

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 100 nm 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.

Monitoring the homogeneity of adenovirus preparations (a gene therapy delivery system) using analytical ultracentrifugation

This study explores the capability of modern analytical ultracentrifugation (AUC) to characterize the homogeneity, under product formulation conditions, of preparations of adenovirus vectors used in gene therapy and to assess the lot-to-lot consistency of this unique drug product. We demonstrate that a single sedimentation velocity run on an adenovirus sample can detect and accurately quantify a number of different forms of virus particles and subvirus particles. These forms include (a) intact virus monomer particles, (b) virus aggregates, (c) empty capsids (ECs), and (d) smaller assembly intermediates or subparticles formed during normal or aberrant virus assembly (or as a result of damage to the intact adenovirus or EC material during all phases of virus production). This information, which is collected on adenovirus samples under the exact formulation conditions that exist in the adenovirus vial, is obtained by direct boundary modeling of the AUC data generated from refractometric and/or UV detection systems using the computer program SEDFIT developed by Peter Schuck. Although both detectors are useful, refractometric detection using the Rayleigh interferometer offers a key advantage for providing accurate concentration information due to the similar response factors for both protein and DNA and its insensitivity to light scattering effects. Additional AUC data obtained from analytical band sedimentation velocity and density gradient sedimentation equilibrium experiments in CsCl with UV detection were also generated. These results further support conclusions concerning the solution properties of adenovirus, the identity of the different virus species, and the overall capability of boundary sedimentation velocity analysis.

Size-distribution analysis of proteins by analytical ultracentrifugation: strategies and application to model systems

Strategies for the deconvolution of diffusion in the determination of size-distributions from sedimentation velocity experiments were examined and developed. On the basis of four different model systems, we studied the differential apparent sedimentation coefficient distributions by the time-derivative method, g(s*), and by least-squares direct boundary modeling, ls-g*(s), the integral sedimentation coefficient distribution by the van Holde-Weischet method, G(s), and the previously introduced differential distribution of Lamm equation solutions, c(s). It is shown that the least-squares approach ls-g*(s) can be extrapolated to infinite time by considering area divisions analogous to boundary divisions in the van Holde-Weischet method, thus allowing the transformation of interference optical data into an integral sedimentation coefficient distribution G(s). However, despite the model-free approach of G(s), for the systems considered, the direct boundary modeling with a distribution of Lamm equation solutions c(s) exhibited the highest resolution and sensitivity. The c(s) approach requires an estimate for the size-dependent diffusion coefficients D(s), which is usually incorporated in the form of a weight-average frictional ratio of all species, or in the form of prior knowledge of the molar mass of the main species. We studied the influence of the weight-average frictional ratio on the quality of the fit, and found that it is well-determined by the data. As a direct boundary model, the calculated c(s) distribution can be combined with a nonlinear regression to optimize distribution parameters, such as the exact meniscus position, and the weight-average frictional ratio. Although c(s) is computationally the most complex, it has the potential for the highest resolution and sensitivity of the methods described.

Determination of the sedimentation coefficient distribution by least-squares boundary modeling

A new method is presented for the calculation of apparent sedimentation coefficient distributions g*(s) for the size-distribution analysis of polymers in sedimentation velocity experiments. Direct linear least-squares boundary modeling by a superposition of sedimentation profiles of ideal nondiffusing particles is employed. It can be combined with algebraic noise decomposition techniques for the application to interference optical ultracentrifuge data at low loading concentrations with significant systematic noise components. Because of the use of direct boundary modeling, residuals are available for assessment of the quality of the fits and the consistency of the g*(s) distribution with the experimental data. The method can be combined with regularization techniques based on F statistics, such as used in the program CONTIN, or alternatively, the increment of s values can be adjusted empirically. The method is simple, has advantageous statistical properties, and reveals precise sedimentation coefficients. The new least-squares ls-g*(s) exhibits a very high robustness and resolution if data acquired over a large time interval are analyzed. This can result in a high resolution for large particles, and for samples with a high degree of heterogeneity. Because the method does not require a high frequency of scans, it can also be easily used in experiments with the absorbance optical scanning system. Published 2000 John Wiley & Sons, Inc.

Size-distribution analysis of macromolecules by sedimentation velocity ultracentrifugation and lamm equation modeling

A new method for the size-distribution analysis of polymers by sedimentation velocity analytical ultracentrifugation is described. It exploits the ability of Lamm equation modeling to discriminate between the spreading of the sedimentation boundary arising from sample heterogeneity and from diffusion. Finite element solutions of the Lamm equation for a large number of discrete noninteracting species are combined with maximum entropy regularization to represent a continuous size-distribution. As in the program CONTIN, the parameter governing the regularization constraint is adjusted by variance analysis to a predefined confidence level. Estimates of the partial specific volume and the frictional ratio of the macromolecules are used to calculate the diffusion coefficients, resulting in relatively high-resolution sedimentation coefficient distributions c(s) or molar mass distributions c(M). It can be applied to interference optical data that exhibit systematic noise components, and it does not require solution or solvent plateaus to be established. More details on the size-distribution can be obtained than from van Holde-Weischet analysis. The sensitivity to the values of the regularization parameter and to the shape parameters is explored with the help of simulated sedimentation data of discrete and continuous model size distributions, and by applications to experimental data of continuous and discrete protein mixtures.

Analysis of fibrous network fluid permeation data using the theory of ultracentrifugation: application to fibrin gels

A new and alternative method for calculating the strand diameter of fibrous gel networks from fluid permeation data is developed and used to analyze and compare previous Darcy constant measurements of fibrin gels. The calculated diameters from the various sets of experimental data using this method gives for a coarse fibrin clot a strand diameter of approximately 1000 A and for a fine fibrin clot a strand diameter of 170 A.

Ionic effects on the structure of nucleoprotein cores from adenovirus

Nucleoprotein cores, prepared from adenovirus type 5 with a deoxycholate/heat treatment, consist of the viral DNA and two major internal proteins. The core particles exhibit structural characteristics that are highly reproducible and dependent on their ionic environment. In low-ionic-strength buffer, the cores had a sedimentation coefficient of 180 S and appeared in the electron microscope as homogeneous particles with distinct centers from which numerous arms and loops radiated. Condensation of the cores was induced by Mg2+ or Ca2+ over the range 0 to 1 mM. The sedimentation coefficient increased monotonically with divalent cation concentration, reaching a maximum of 405 S in 1 mM Mg2+. A corresponding condensation in the core structure was observed by electron microscopy. Increasing concentrations of NaCl also produced a conformational change in the cores, with an almost linear increase in sedimentation velocity up to 274 S in 0.04 M NaCl. Between 0.05 and 1.0 M NaCl, the cores were insoluble. In 2.0 M NaCl, the cores were again soluble with an s20,w of 228 S. Under all ionic strength conditions in which the cores were soluble, both core proteins remained bound to the DNA.

Purification of oligomeric staphylococcal alpha-toxin by affinity chromatography on digitonin-sepharose

An effective concentration of alpha-toxin from Staphylococcus aureus Wood 46, directly from the culture supernatant, could be achieved by adsorption on digitonin-sepharose and elution with 3 mol/l sodium thiocyanate (NaSCN). The toxin was further purified by gelchromatography. The purified product yielded 1 single protein band upon SDS-polyacrylamide electrophoresis. It was nonhemolytic, but reacted with anti-alpha-toxin under complement fixation. Dialysis against 0.14 mol/l NaCl with hydrophobic amino acids partially reactivated the alpha-hemolytic activity of the toxin. Ultracentrifugal analysis yielded sedimentation coefficients for the purified toxin of approximately 3,7 S when dissolved in 3 mol/l NaSCN and of about 12 S after dialysis against 0.14 mol/l NaCl (Table 1). The spontaneous oligomerization of the alpha-toxin during dialysis against 0.14 mol/l NaCl possibly resulted from a change in configuration induced by its adsorption to digitonin-sepharose.

DNA polymerase in nuclei isolated from herpes simplex virus type-2-infected cells. Characterization of the reaction product and inhibition by substrate analogs

Nuclei isolated from herpes simplex virus (HSV) type 2-infected KB cells were examined for their capacity to serve as an in situ source of herpes DNA polymerase. In contrast to purified enzymes with added template, approx. 80% of the DNA synthesized in isolated nuclei was viral. The average size of DNA fragments labeled in vitro was 3.2 X 10(6) Da. Based on an increase in DNA density when nuclei were incubated in the presence of BrdUTP rather than dTTP, 16% of the nucleotides were added during the in vitro reaction. Sucrose gradient analysis of DNA polymerase activity in extracts of isolated nuclei demonstrated the nearly exclusive presence of herpes DNA polymerase. Km concentrations for the four dNTPs were from 0.14 to 0.55 microM. DNA synthesis was inhibited competitively by the 5'-triphosphates of ara-A and ara-C (Ki = 0.03 and 0.22 microM, respectively) but not by the 5'-triphosphate of dideoxythymidine. aATP also served as a substrate (Km = 0.014 microM) for the reaction. We conclude that nuclei from HSV-infected cells have significant advantages for the detailed study of inhibitors of herpesvirus replication.

Core particle stability critically depends upon a small number of terminal nucleotides

An apparently homogeneous population of core particles is in fact composed of three subpopulations which behave differently when exposed to a high concentration of ethidium bromide or to 0.6 M NaCl. These subspecies have been identified by the use of several techniques, viz., electron microscopy, sedimentation velocity and circular dichroism. The electrophoretic analysis of their DNA leads to the conclusion that core particle stability critically depends upon a small number of terminal nucleotides.

Catalytically active monomer and dimer forms of rat liver carbamoyl-phosphate synthetase

Purified carbamoyl-phosphate synthetase of rat liver is shown to exist in a state of rapid, reversible monomer-dimer equilibrium. The allosteric activator N-acetyl-L-glutamate displaces the equilibrium toward monomer formation. This effect is observed over a range of initial protein concentrations of 0.02-5 mg/mL. Measurements of Stokes radii by analytical gel chromatography indicate that at concentrations less than 0.1 mg/mL at 25 degrees C in the presence of all the substrates the enzyme exists as a monomer of 160000 molecular weight. A gel chromatographic method was developed to identify the active form of carbamoyl-phosphate synthetase. On the basis of analysis of the ADP boundary formed during gel chromatography, the monomer is established to be catalytically active. Active enzyme centrifugation studies confirm that the monomer is a reactive species and suggest that the dimer also functions catalytically. Under the conditions of the usual enzyme assay, carbamoyl-phosphate synthetase is mainly in the monomer form. Activation by acetylglutamate can occur at the level of the monomer and is not coupled to dissociation since the enzyme dissociates at low concentrations even in the absence of acetylglutamate. The stoichiometry of the association is observed directly in the electron microscope. The dimensions of the negatively stained particles of the enzyme in the presence or absence of substrates correspond to monomers and dimers, assuming the molecule to be a prolate ellipse. The number of monomers observed in the presence of substrate represents 86% of the total number of enzyme molecules. The average molecular weight calculated from the numbers of particles seen in negatively stained specimens of carbamoyl-phosphate synthetase is 182000. Electron microscope studies provide independent evidence for monomer--dimer interactions and show that under the conditions examined the enzyme is mainly in the monomer form.

High concentration active enzyme centrifugation: analysis of active polymeric forms at up to 10 000-fold higher concentrations than with conventional methods

This paper describes the theoretical basis, experimental technique, and experimental evaluation of a new method of analysis called "high concentration active enzyme centrifugation". It extends by up to four orders of magnitude the upper concentration limits at which the technique of "active enzyme centrifugation" can be used for analysis of enzyme structure. This new theory is largely based on certain properties of Gaussian curves which we have described in previous publications [Wei, G.J., & Deal, W.C., Jr. (1976) Anal. Biochem. 75, 113-121; Anal. Biochem. (1978) 87, 433-446]. One of the most important aspects of this development is that it extends the concentration range upward so that experiments can be performed on enzymes in the active polymeric forms corresponding to their in vivo states. Furthermore, this expansion includes the range in which most enzymes go through all their association-dissociation transitions from one polymeric form to another. Hence, the method can be used to define the various concentration-dependent transitions and also to ascertain which of the various polymeric forms of an enzyme are active, under various conditions. This method also retains the many favorable characteristics inherent in the active enzyme centrifugation technique. In studies with lactate dehydrogenase, the results from this method of band sedimentation were identical within experimental error (about 1.5%) with results from conventional boundary sedimentation velocity studies.

The so20,w of unsheared DNA from whole cell lysates of Escherichia coli

We present measurements of the sedimentation coefficients of DNA present in whole cell lysates of E. coli. The method used is a preparative version of the band sedimentation experiment of Bruner and Vinograd. We show that in order to obtain reliable data on the time dependence of sedimentation, it is necessary to accelerate and decelerate the rotor over much longer times than the standard centrifuge allows. We describe the necessary modifications to the preparative centrifuge and use them to determine the So20,W of unsheared E. coli DNA. The value for the fastest moving components in the lysate is 220 S. The molecular weight of the DNA corresponding to this sedimentation coefficient is probably 1.7 X 10(9) g/mole. However, alternative values cannot be ruled out.

Simultation of gradient and band propagation in the centrifuge

A technique is developed for simulating the behavior of both the gradient-forming solute and macromolecular bands in a centrifuge. The change with time of the density gradient due to diffusion and sedimentation of the gradient-forming solute is calculated by a finite difference method, making use of the results of earlier work on the theory of the equilibrium density gradient. Using a perturbation technique, the concentration profiles of dilute bands of macromolecules are then calculated as they sediment and diffuse through the varying supporting gradient. Results of the stimulaion techniques are compared with experiment.