How far have we progressed toward automated electrophoresis in sieving media of the twenty-first century?

The automation of electrophoresis in polymeric sieving media requires (i) an objective definition of the conditions (the polymer, its concentration, solvent, buffer, pH, ionic strength, temperature) under which a particular separation proceeds most effectively; (ii) apparatus capable of zone detection, acquisition by computer, evaluation (migration distance, zone width and area) and a print-out of the number of components, their size and net charge, and the polymer conditions under which each component separates most effectively from its two neighboring zones. Both of these prerequisites of automation have been met to a first approximation at this time and, after further maturation, assembly and streamlining should be able to fill the need of the coming century for a more efficient, nonarbitrary and cost-effective mode of macromolecular and cellular particle separation. (i) The realization of the qualitative equivalence of polymer solutions and gels has greatly increased our options in the choice of sieving media. That choice can be made objectively by correlating separation efficiency (S), particle size (R) and intrinsic viscosity (eta o) of the polymer. (S) is a function of the slope, KR(R), of the Ferguson plot [log(mobility) vs. polymer concentration], or with nonlinear plots (DNA, agarose) KR(R,T). KR is at present most easily derived from transverse pore gradient gels or by conducting capillary zone electrophoresis (CZE) at multiple polymer concentrations. Pore gradient CZE appears promising. CZE also defines the free mobility unequivocally. Computer programs exist to generate KR from migration distances (times), and optimal S and polymer concentration for a particular R from KR.(ABSTRACT TRUNCATED AT 250 WORDS)

Characterization of the electrophoretic properties of nucleosome core particles by transverse polyacrylamide pore gradient gel electrophoresis

Transverse pore gradient gel electrophoresis, previously applied to bent DNA, has extended the usefulness of the gel retardation assay in two ways: (i) by differentiating between different DNA conformations; (ii) by providing information regarding the physical properties of DNA. In the present study, similarly extended information is obtained with regard to a well-characterized DNA-protein complex, the chicken erythrocyte nucleosome core particle. (i) The winding of DNA around the protein core constrains the DNA which renders its Ferguson curve (migration distance vs. gel concentration) similar to that of kinetoplast DNA, i.e. it intersects sharply with the Ferguson curves of linear DNA standards. By contrast, the deproteinized nucleosome DNA exhibits a Ferguson curve similar to linear standards of the same length. (ii) Interpretation of the Ferguson curve based on a mathematical model shows that the nucleosome exhibits a linear Ferguson plot [log(mobility) vs. gel concentration]. This is similar to and characteristic of spherical proteins, contrasting with the concave plot typical for linear and bent DNA. (iii) The effective size of the nucleosome, evaluated in terms of an "equivalent sphere" (i.e. a hypothetical spherical particle with a radius, Res, having the same electrophoretic mobility as DNA for a particular set of experimental conditions), remains invariant across the gel concentration range of 3-9%T. This is similar to proteins and bacteriophages and contrasts with the progressive decline of Res with increasing gel concentration observed for linear DNA and the deproteinized nucleosomal DNA.

Concave Ferguson plots of DNA fragments and convex Ferguson plots of bacteriophages: evaluation of molecular and fiber properties, using desktop computers

A desktop computer program evaluating physical properties of DNA and bacteriophages is presented. The analysis is based on data obtained from capillary and submarine-type agarose electrophoresis. Native molecular/particle properties and properties of the gel (or polymer) medium can be derived from electrophoresis at several gel concentrations. This is done conveniently by a computerized evaluation of the semi-logarithmic plot of mobility vs. gel concentration, designated the Ferguson plot. In application to most proteins, this plot is linear and computer programs exist to evaluate it. However, nonlinear Ferguson plots have assumed great importance in view of the fact that the plots are concave for DNA. Similarly, convex plots are important since they prevail in the electrophoresis of large particles in agarose. The computer program reported here is the first to (i) address concave Ferguson plots and (ii) allow for the evaluation of both cases using a desktop computer. Program ELPHOFIT version 2.0, a Macintosh application, is available upon request.

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.

Free mobility determination by electrophoresis in polyacrylamide containing agarose at a nonrestrictive concentration

In the determination of the free mobility, related to the surface net charge, by quantitative gel electrophoresis, the previous arbitrary extrapolation of Ferguson plots from the lowest gel concentrations that give a mechanically stable gel to 0% T has recently been replaced by measurement of mobilities across that concentration range, using the addition of 0.5% agarose to polyacrylamide at the various low concentrations in application to a DNA fragment 155 bp in size (Orbán, L. et al., in preparation). The present study applies that approach to several proteins and DNA fragments smaller than 1300 bp, using 0.4% agarose in polyacrylamide gels of varying concentration. The intercepts of the plots with the mobility axis provide experimental data by which the free mobility in polyacrylamide gel electrophoresis can be estimated for molecules not significantly retarded in their migration at the agarose concentration admixed to polyacrylamide. Across the gel concentration range below 3% T, in the presence of agarose, the Ferguson plots of proteins and DNA fragments are convex. It was shown by mass spectrometry that this convex curvature of the plots in the mixed polymer is not significantly due to low polymerization efficiency in the concentration range of liquid polyacrylamide (below 3%T).

Information on DNA conformation derived from the Ferguson plot of DNA fragments of up to 9 kb in size, using polyacrylamide gel electrophoresis in a discontinuous buffer system

The Ferguson plot in polyacrylamide gel electrophoresis (PAGE)(15%CDATD, moving boundary electrophoresis buffer system operative at pH 8.9, 4 degrees C, 8 mA/cm2 of gel) of DNA fragments up to 9.4 kb in size was found to exhibit a linear segment at polyacrylamide concentrations starting at 3% T and undergoing a gradual transition into a concave segment at higher gel concentrations, confirming previous findings by Stellwagen. The larger the DNA, and the higher the gel concentration, the less extended the linear and the more extended the concave segment of the plot. The lowest % T of the linear range for DNA in polyacrylamide remains unknown since mobilities at nongelling concentrations below 3% T have not as yet been measured. As previously suggested, the transition from the linear to the concave segment corresponds to that from the randomly oriented DNA to the anisotropically stretched, "reptating" DNA. For a DNA of 9.4 kb in size, the end of the linear range of the Ferguson plot can be extended from 3.5 to 5% T when 15% DATD rather than 2.5% Bis is used to crosslink the polyacrylamide. Increasing the temperature of PAGE from 4 degrees C to 25 and 50 degrees C widens the linear segment progressively, indicating an increasingly random orientation with rising temperature. When current density is increased from 8 to 40 mA/cm2, the concave curvature of the Ferguson plot of DNA 1 to 9.4 kb in size decreases, suggesting a transition from a "reptating" to a randomly distributed molecule, due to increased Joule heat.(ABSTRACT TRUNCATED AT 250 WORDS)

The sieving of spheres during agarose gel electrophoresis: quantitation and modeling

By use of agarose gel electrophoresis, the sieving of spherical particles in agarose gels has been quantitated and modeled for spheres with a radius (R) between 13.3 and 149 nm. For quantitation, the electrophoretic mobility has been determined as a function of agarose percentage (A). Because a previously used model of sieving [D. Rodbard and A. Chrambach (1970) Proc. Natl. Acad. Sci. USA 65, 970-977] was found incompatible with some of these data, alternative models have been tested. By use of an underivatized agarose, two models, both based on the assumption of a single effective pore radius (PE) for each A, were found to yield PE values that were independent of R and that were in agreement with values of PE obtained independently (PE = 118 nm X A-0.74): sieving by altered hydrodynamics in a cylindrical tube of radius, PE, and sieving by steric exclusion from a circular hole of radius, PE. The same analysis applied to a 6.5% hydroxyethylated commercial agarose yielded a steeper PE vs A plot and also agreement of the above two models with the data. The PE vs A plot was significantly altered by both further hydroxyethylation and factors that cause variation in the electro-osmosis found in commercial agarose.

Gel electrophoretic analysis of DNA branched junctions

Gel electrophoresis has provided much of the detailed information we have about the properties of DNA junctions, stable branched molecules formed from oligonucleotide or polynucleotide strands. Here we review these applications, and present the results of an electrophoretic investigation of conformationally restricted junctions formed by covalently connecting two different pairs of strands in a junction with four arms. Native gel electrophoresis is employed to establish the formation and stoichiometry of the multistrand complexes. Ferguson analysis of native gel mobility shows that junctions have retardation coefficients that are distinct from those of linear DNA duplexes. Denaturing gel electrophoresis is the primary tool for characterizing junctions that have been covalently linked together to form both linear and macrocyclic oligomers of junctions (oligojunctions). Radioactively labelled strands enable one to monitor the progress of the ligation reaction: both linear and closed cyclic molecules result, and these can be distinguished by applying Ferguson analysis to denaturing gels. Combinations of exonuclease III, restriction enzymes and sequencing reactions have been applied to oligojunction molecules, and the results are all analyzed on denaturing gels. Junctions containing intramolecular "tethers" that restrict the conformation freedom of the complex comprise a new system for analyzing the conformations of branched molecules. In these tethered junctions, the ability of arms to move relative to each other is restricted substantially by covalently connecting pairs of arms in the original complex with short, flexible loops. The two tethers used here constrain the helical domains of the structure to be roughly parallel or anti-parallel. In this article, we use Ferguson analysis to compare two tethered junctions with an untethered junction. At high gel concentrations, the mobility of the untethered complex is found to be closer to that of the molecule tethered anti-parallel than to the one tethered parallel. Curvature in the Ferguson plots for all three of these junctions is detected over a range of compositions. At low gel concentrations, differences in electrophoretic mobility persist, suggesting that the untethered junction differs in charge as well as conformational freedom from the tethered analogs. We expect that studies of this kind will be able to define the conformational repertoire of junctions of different kinds, and to explore the effects of electrophoresis on these states.

Sieving of ionic constituents across moving boundaries in gel electrophoresis

The representative beta-hydroxyethylmorpholinium-chloride-bicinate moving boundary with a trailing ion net mobility relative to Na+ of 0.41, detected by precipitation of chloride with silver nitrate, exhibits a decreasing chloride mobility at increasing polyacrylamide gel concentrations from 3.5 to 45%T, 5%CBis. This decrease, largely due to an increase of field strength at constant current, is described by a convex* plot of log (mobility) vs. %T (Ferguson plot) and signifies that chloride/bicinate are sieved by the gel. In agarose gels, the same plot of mobility vs. gel concentration is constant below 7% gel concentration, since in those gels field strength and migration rate remain the same within that gel concentration range. Both in polyacrylamide and in agarose gels the displacement rate of the chloride-bicinate boundary as a function of the time of electrophoresis or distance migrated remains invariant within 15%. The plot of log (mobility) vs. gel concentration extrapolated to 0%T is 5.85 and 5.41 (10(-5) cm2s-1V-1) for polyacrylamide and for agarose (SeaKem HGT-P,FMC) gels, respectively. The slightly decreased mobility intercept at 0%T for agarose is presumably due either to the electroendosmotic properties of agarose HGT-P and/or failure to Sufficiently take into account the flattening of the Ferguson plot in the polyacrylamide concentration range below 3% in which a transition from a gel to a fluid (sol) medium takes place.

Ferguson plots based on absolute mobilities in polyacrylamide gel electrophoresis: dependence of linearity of polymerization conditions and application to the determination of free mobility

In contrast to Ferguson plots based on relative mobilities, Ferguson plots of proteins in polyacrylamide gel electrophoresis based on their absolute mobilities were found to be linear under unusual polymerization conditions which yield relatively wide gel fibers and a low total fiber length per unit weight, but not under previously and commonly used conditions. These linear Ferguson plots in gels of 1, 3 and 5% crosslinking intersect at a single gel concentration between 1 and 2% T (M-point). It is postulated that the measure of free mobility of the proteins is the M-point, and not the intercept of their Ferguson plots with the mobility axis as assumed previously. This postulate abolishes the well-known paradoxical interpretation of the increase with %C of the linearly extrapolated intercept of the Ferguson plot with the log(mobility) axis (designated Yo) in terms of free mobility. The postulate is also compatible with the interpretation of the points of intersection of the Ferguson plots of oligomeric series of proteins at finite gel concentrations (designated mu-points) as their common free mobilities.

Linear Ferguson plots of polystyrene sulfate size standards for the quantitative agarose gel electrophoresis of subcellular particles

Accurately standardized commercial polystyrene sulfate particles in agarose gel electrophoresis yield linear Ferguson plots at pH 7.4 over a gel concentration range up to 0.9% agarose which do not exhibit any significant sigmoidal curve elements, using either a discontinuous buffer system or a continuous buffer. Ferguson plots of these standard-sized particles were evaluated using alternatively a linear or convex model, by means of a newly developed set of programs (to be used in conjunction with program M-LAB) which (i) is sufficiently user-friendly to allow for quantitative agarose gel electrophoresis of subcellular-sized spherical particles based on their convex Ferguson plots with the same operational simplicity previously available for linear Ferguson plots only; (ii) simultaneously and interactively analyzes the Ferguson plots of all particles under consideration on the basis of an extended Ogston model.

Discontinuous buffer systems optimized for the agarose gel electrophoresis of subcellular particles

Discontinuous buffer systems operative between pH 5.7 and 7.4, 0 degrees C, were generated, which are characterized by more rapidly displaced moving boundaries than applied previously. These allow one to resolve subcellular particles relatively rapidly and at relatively low agarose gel concentrations. A commercial mixture of DNA restriction fragments pre-stained with ethidium bromide was found to be a suitable tracking dye for these boundaries.