Computer-assisted evaluation of polydisperse two-dimensional gel patterns of polysaccharide-protein conjugate preparations with regard to size and net charge

Computer-assisted 2-D agarose electrophoresis ofHaemophilus influenzae type B meningitis vaccines and analysis of polydisperse particle populations in the size range of viruses: A review

When protein-polysaccharide conjugated vaccines were first developed for the immunization of small children against meningitis caused by infection with Haemophilus influenzae type b (Hib), the vaccine preparations varied in immunogenicity. Testing for immunogenicity was time-consuming and alternative analytical procedures for determining vaccine quality were unsatisfactory. For example, due to the very high molecular weight of the vaccine particles, immunogens could only be physically characterized as a fraction in the void volume of Sepharose gel filtration. In search of better analytical methods, a computer-assisted electrophoretic technique for analyzing such vaccines was developed in the period from 1983 to 1995. This new approach made it possible to analyze highly negatively charged particles as large as or larger than intact viruses. 2-D gel patterns were generated that varied depending on the conditions of the particular vaccine preparation and were therefore characteristic of each vaccine sample. Thus, vaccine particle populations with a continuous size variation over a wide range (polydisperse) could be characterized according to size and free mobility (related to particle surface net charge density). These advances are reviewed in this article, since the developed methods are still a promising tool for vaccine quality control and for predicting immunogen effectiveness in the production of vaccines. The technique is potentially beneficial for Hib immunogens and other high-molecular-mass vaccines. Additional biomedical applications for this nondenaturing electrophoretic technique are briefly discussed and detailed information about computational and mathematical procedures and theoretical aspects is provided in the Appendices.

Analysis of biological motors via multidimensional fractionation: a strategy

Past strategies for the analysis of ATP-fueled motors include single-motor analysis. Single-motor analysis bypasses limitations caused by motor asynchrony during the traditional ensemble averaging analysis. The present communication describes revised ensemble averaging analysis that also can bypass asynchrony-derived limitations. This revised analysis makes measurements of one motor variable dependent on the others. One example is nondenaturing gel electrophoresis with more than one dimension. Each dimension measures one of the motor variables. This multidimensional procedure is used to obtain the values of "conformational" motor variables as a function of a "clock" motor variable. In theory, the cycle of the motor can be analyzed from a single multidimensional analysis of a collection of asynchronous motors sampled at only one time. That is to say, motor asynchrony becomes an asset, rather than a liability.

Procedures and computer program for deriving the Ferguson plot from electrophoresis in a single pore gradient gel: application to agarose gel and a polystyrene particle

This study presents a computerized evaluation of pore gradient gel electrophoretograms to arrive at estimates for both the particle-free mobility and retardation coefficient, which is related to particle size. Agarose pore gradient gels ranging from 0.2 to 1.1% agarose were formed. Gel gradients were stabilized during their formation by a density gradient of 0-20% 5-(N-2,3-dihydroxypropylacetamido)- 2,4,6-triiodo-N,N'bis-(2,3-dihydroxypropyl)-isophthalamide (Nycodenz). Densitometry of gelled-in Bromophenol Blue showed that these pore gradients exhibited a linear central segment and were reproducible. Migration distances of polystyrene sulfate microspheres (36.5 nm radius) in agarose pore gradient gel electrophoresis were determined by time-lapse photography at several durations of electrophoresis. These migration distances were evaluated as a function of migration time as previously reported (D. Tietz, Adv. Electrophoresis 1988, 2, 109-169). Although this is not necessarily required, the mathematical approach used in this study assumed linearity of both the pore gradient and the Ferguson plot for reasons of simplicity. The data evaluation on the basis of the extended Ogston model is incorporated in a user-friendly program, GRADFIT, which is designed for personal computers (Macintosh). The results obtained are compared with (1) conventional electrophoresis using several gels of single concentration with and without Nycodenz, and (ii) a different mathematical approach for the analysis of gradient gels (Rodbard et al., Anal. Biochem. 1971, 40, 135-157). Moreover, a simple procedure for evaluating linear pore gradient gels using linear regression analysis is presented. It is concluded that the values of particle-free mobility and retardation coefficient derived from pore gradient gel electrophoresis using the different mathematical methods are statistically indistinguishable from each other. However, these values are different, albeit close, to those obtained from conventional Ferguson plots. One of the possible reasons for this relatively minor discrepancy is that the particle-free mobility changed slightly during electrophoresis, which has a different effect on electrophoresis in homogeneous gels (single time measurement) and pore gradient gels (multiple time measurements). The characterization of particles according to size and charge by pore gradient electrophoresis provides a significant operational simplification and sample economy compared to that requiring the use of several gel concentrations, although at the price of increased requirements of instrumentation.

Computerized methods for analyzing two-dimensional agarose gel electropherograms

Previous methods interpret zonal or polydisperse gel patterns of two-dimensional Serwer-type gels in terms of size and free mobility (surface net charge density). These two parameters have been determined for each component without quantitatively measuring the abundance of the components. The present study advances these previous methods by determining the relative concentration of each component by computer evaluation of densitometrically analyzed gel patterns. Suitable procedures and their underlying algorithms are presented. The mathematical routines are implemented in a user-friendly software package, called GelFit and designed for a Macintosh personal computer. The program input consists of digitized images of gel staining patterns exemplified by those obtained from electrophoresis of native subcellular-sized particles. The data are processed through the following steps: (i) Noise reduction and calibration. (ii) Geometrical transformation of the pattern onto a rectangular size/free mobility coordinate system using rationales of the extended Ogston model. (iii) Analysis of the transformed image to determine density maxima, density profiles along iso-free-mobility or iso-size lines, curve fitting of one-dimensional profiles or two-dimensional surfaces using Gaussian functions and curve stripping of surfaces to determine the possible number of particle populations.

The distribution of particles characterized by size and free mobility within polydisperse populations of protein-polysaccharide conjugates, determined from two-dimensional agarose electropherograms

New approaches for the characterization of polydisperse particle populations are presented*. The investigated samples contain virus-sized protein-polysaccharide conjugates which had previously been prepared as immunogens against bacterial meningitis (Hib). The analysis is based on two-dimensional agarose electrophoresis (Serwer-type). This method, like the one of O'Farrell, achieves a separation according to size and charge. It relies on a different principle, however, and is applicable to nondenatured particles which are 100 to more than 1000 times larger in mass than regular uncrosslinked proteins. Data from stained gel patterns are evaluated by the computer program ELPHOFIT, which makes it possible to standardize the gel and to construct a nomogram which defines every position on the gel in terms of particle size and free mobility (related to surface net charge density). The output of ELPHOFIT, consisting of nomogram parameters, is transferred to the image processing program GELFIT. This software is used to evaluate the computer images obtained by digitizing the stained gel patterns: (i) The nomogram is electronically superimposed on the computer image. (ii) The gel pattern is transformed from a curvilinear to a rectangular coordinate system of particle size and free mobility. The center of gravity as well as density maxima are given in coordinates of particle size and free mobility. Ranges of grey levels can be accentuated by adding 16 pseudocolors. (iii) Using surface-stripping techniques, GELFIT provides an estimate for the number of major subpopulations within each preparation. (iv) Numerical values for the distribution of particle size and free mobility are determined. Using program IMAGE, the quantitative physical assessment of a given conjugate preparation is presented in the form of a computer-generated three-dimensional plot, the shape of which serves to identify and characterize the preparation visually. The data analysis based on digitized two-dimensional gel patterns is automated to an extent that a technician can perform routine evaluations. It uses the Macintosh II personal computer.

Analysis of one-dimensional gels and two-dimensional Serwer-type gels on the basis of the extended Ogston model using personal computers

This report presents the stand-alone computer application ELPHOFIT, a software package for the analysis of gel electrophoretic data based on Ferguson plots. Either conventional one-dimensional gels or two-dimensional agarose gels (Serwer-type) can be evaluated. Special emphasis is on the latter gel type, which has been applied previously for the separation of DNA, intact viruses and polydisperse meningitis vaccines. ELPHOFIT is designed for Macintosh PCs and for the IBM XT, AT, PS/2 and compatibles. The program operates interactively with the user, who determines the course of evaluation. Data input is in the format of files providing values of gel electrophoretic migration distances or particle mobility (absolute or relative). Data processing involves a simultaneous least-square curve fitting algorithm (Newton-Gauss, Marquardt-Levenberg) which uses equations derived from the extended Ogston model. Functions are fit to the database by adjusting their variables, representing physical parameters of the gel and the electrophoresed particle. The program output consists of tables and graphics accompanied by an explanatory text providing the following information: (i) radius and free mobility of the electrophoresed particle, (ii) fiber radius, length and volume, mean or median pore radius of the gel, (iii) linear Ferguson plots, (iv) iso-free-mobility/iso-size nomogram for two-dimensional gels, (v) confidence ellipses, (vi) required parameters for image processing program GELFIT and (vii) goodness-of-fit and other statistical parameters, such as standard errors, dependency values, root-mean-square (RMS) error and determination coefficient. Other features of the program are (i) simulation of Serwer-type two-dimensional electrophoresis, (ii) standardization according to size, or size and free mobility, (iii) the conversion of particle radii to molecular (or particle) weight and vice versa, (iv) interconversion of DNA size specifications, i.e. the number of base pairs and the geometric mean radii, (v) computation of gel concentration for optimal resolution of two components, (vi) option to obtain a session record, (viii) option to establish a data output file containing the information of generated graphics (IBM only) and (ix) a text editing facility, e.g., for creating data files. Graphics (Macintosh version, PICT format) and text output files (both IBM and Macintosh versions, standard ASCII format) generated by ELPHOFIT are compatible with commercially available software.

A thin-layer multistrip agarose gel electrophoresis apparatus for Ferguson plot analysis at the sub-microgram load level

A method for the simultaneous horizontal agarose gel electrophoresis on thin-layer strips of different gel concentrations was developed for the purpose of generating Ferguson plots at the sub-microgram load level. Seven independent gel strips on a common GelBond support were formed by filling channels created by a comb-shaped spacer (polycarbonate) in a vertical multistrip cassette. Electrophoresis on a horizontal Peltier-cooled surface employed commercial apparatus (E-C Apparatus Corp.) with a modified cover which is airtight and holds anodic and cathodic voltage measurement probes for each strip. The application of the apparatus to Ferguson plot analysis in a single experiment was exemplified on the RNA-containing turnip crinkle virus (TCV) at a load of 50 ng/gel strip, using an optimized silver staining method (a modification of a procedure of FMC Corp. BioProducts) for detection. Within the range of 3.5 to 12.5 V/cm, the plot was found to be independent of field strength. Mobility is also independent of the concentration of detergent (CHAPS) up to 10 mM.