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

Electrophoretic mobility of semi-flexible double-stranded DNA in defect-controlled polymer networks: Mechanism investigation and role of structural parameters

Our previous studies have reported an empirical model, which explains the electrophoretic mobility (μ) of double-stranded DNA (dsDNA) as a combination of a basic migration term (Rouse-like or reptation) and entropy loss term in polymer gels with ideal network structure. However, this case is of exception, considering a large amount of heterogeneity in the conventional polymer gels. In this study, we systematically tune the heterogeneity in the polymer gels and study the migration of dsDNA in these gels. Our experimental data well agree with the model found for ideal networks. The basic migration mechanism (Rouse-like or reptation) persists perfectly in the conventional heterogeneous polymer gel system, while the entropy loss term continuously changes with increase in the heterogeneity. Furthermore, we found that in the limit where dsDNA is shorter than dsDNA persistence length, the entropy loss term may be related to the collisional motions between DNA fragments and the cross-links.

Agarose electrophoresis of DNA in discontinuous buffers, using a horizontal slab apparatus and a buffer system with improved properties

Using a horizontal slab apparatus with a buffer in the reservoirs at the level of the gel ("sea-level electrophoresis"), the retrograde discontinuous buffer system reported by Wiltfang et al. for sodium dodecyl sulfate-polyacrylamide gel electrophoresis (SDS-PAGE) of proteins was applied to DNA electrophoresis. This application yielded the advantages of an increased displacement rate of the moving boundary front and a decrease in the concentration of the counterion base in the resolving phase, which yielded reduced relative mobility values at equivalent gel concentrations and practicable low buffer concentrations. The change of relative mobilities (Rf) with a variation of field strength is decreased compared to that of the migration rate in the continuous Tris-boric-acid-EDTA (TBE) buffer and thus the robustness of the system is improved, as well as the efficiency of separation. The system of Wiltfang et al. has in common with previously described discontinuous DNA system, that it is able to stack DNA from dilute samples and is insensitive to sample components with lower net mobilities than DNA, such as acetate. However, the variance of Rf at constant current density in the discontinuous buffer system is not improved over that of the migration rate at constant field strength in the continuous TBE buffer.

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.

Simultaneous Ferguson plot analysis, using electrophoresis on a single agarose pore gradient gel, of DNA fragments contained in a mixture

A recent study has demonstrated the feasibility of obtaining Ferguson plots in agarose gel electrophoresis, using a single pore gradient gel. We now report three remedies for defects in the previous experimental approach: (i) UV-absorbing media for density stabilization of the gel is avoided by replacing 5-(N-2,3-dihydroxypropylacetamido)-2,4,6-triiodo-N,N'-bis(2,3-dihy droxypropyl) isophthalamide (Nycodenz) with heavy water; this renders the method applicable to ethidium bromide-labeled DNA. (ii) The density stabilizing medium is kept from having an effect on field strength. (iii) Data collection by uninterrupted time-lapse photography is possible by using an apparatus with a quartz window. These three measures make the method practical for the gel electrophoretic identification and physical characterization of DNA species, potentially up to 50 kb in size.

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.

Electrophoretic size separations in liquified agarose of polystyrene particles and circular DNA

Polystyrene sulfate particles of 0.37 to 1.78 mu in diameter are retarded in their electrophoretic migration in proportion to the concentration of agarose liquified above its gelling temperature. In the concentration range of 0.02 to 0.2% liquified agarose, the degree of this retardation in electrophoresis at 40 degrees C is inversely related to particle size. By contrast, mitochondrial DNA (16 kb), plasmid pBR322 DNA (4 kb) and plasmid PSA509 DNA (3 kb) exhibit under the same conditions a degree of retardation which is proportional to their size. This confirms the existence of two divergent mechanisms of size separation similarly observed in other liquid polymer media, i.e. one based on collisions with the gel fiber (molecular sieving) and one based on exclusion from the fiber network (the electrophoretic equivalent of gel permeation).

Gel electrophoresis of polystyrene particles in glutaraldehyde crosslinked polyvinyl alcohol

Polystyrene sulfate and carboxylate particles (19-189 nm radius) were subjected to electrophoresis in glutaraldehyde crosslinked polyvinyl alcohol of molecular weight 25.000 and 650.000 Da at various concentrations. The degree of crosslinking is severely limited by the mechanical properties of the gels that deteriorate beyond a glutaraldehyde concentration which decreases with increasing polyvinyl alcohol chain length. The effective fiber radius of the short-chain and long-chain polymer fiber was 45 +/- 25 and 131 +/- 47 nm, respectively. Thus, these media do not significantly exceed the apparent fiber thickness of agarose, are more difficult to prepare--but are well-defined synthetic products rather than natural ones, and have the advantage of carrying no net charge and can therefore be expected to exhibit no electroendosmosis.

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)

Discontinuous buffer system for polyacrylamide and agarose gel electrophoresis of DNA fragments

DNA fragments up to 9 kb in size were stacked and separated by polyacrylamide gel electrophoresis, and those up to 50 kb in size by agarose gel electrophoresis, using a discontinuous buffer system. Polyacrylamide gels at pH 8.9, 2 degrees C, 0.01 M ionic strength, yielded sharp bands with DNA loads of 8 micrograms/cm2 of gel of a mixture of 19 DNA fragments in the size range of 72-23130 bp, while agarose gels at pH 8.5, 25 degrees C, provided well-resolved, unperturbed bands at 0.04 M ionic strength with DNA loads of 1 microgram/cm2 of the same mixture. Note that the ionic strength of the agarose gels is comparable to the conventionally used 0.5 x TBE (Tris-borate-EDTA) buffer, while that successfully applied to polyacrylamide is seven-fold less than the ionic strength of conventionally used 1 x TBE buffer, with a substantially shorter duration of electrophoresis as a result. The application of a discontinuous buffer system to the gel electrophoresis of DNA results in (i) Band identification by Rf, the migration distance relative to a sharply defined "buffer front" (moving boundary). This is sufficiently labor saving, compared to determining absolute mobilities, so as to render practical the expression of bands as numbers, with benefits for data storage, statistical manipulations and physico-chemical exploitation of mobility data. The use of Rf's also circumvents loss of precision in mobility measurement resulting from progressive band spreading of dye bands used as a front. (ii) A uniformly and highly concentrated starting zone, beneficial to resolution, is obtained, without the losses by which separate concentration steps are usually burdened.(ABSTRACT TRUNCATED AT 250 WORDS)

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.

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

Native Hemophilus influenzae polysaccharide-protein conjugate particles were analyzed by a two-dimensional agarose electrophoresis procedure. In view of their preparation by random chemical crosslinking, the conjugates necessarily exhibit a polydisperse two-dimensional gel pattern which varies depending on the conditions of the particular preparation. The polydisperse patterns were interpreted with regard to the size and surface net charge density of the conjugate on the basis of the extended Ogston model. Data processing was performed by a new program, designated ZWEIDI.DO, written in the language of M-LAB (modeling laboratory). The program computes particle and gel fiber specific parameters from the positions of standards and unknown(s) on the two-dimensional gel using a simultaneous linear least-square curve fitting routine. Based on these calculations, the program serves to compute a nomogram of iso-size and iso-free-mobility profiles. Superimposing these profiles on the gel patterns, the size and free mobility range of the polydisperse conjugate mixtures is obtained. Potentially, the procedure could serve as a tool for quality control in the production of conjugates as vaccines and for the physical characterization of polydisperse subcellular particles and vesicles.

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.

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.

Program in BASIC for Ferguson plot analysis, using a personal computer: application to gel electrophoresis in a continuous buffer

A program in BASIC suitable for personal computers is described which is applicable to gel electrophoresis conducted in a single (continuous) buffer. The curve fitting is to a polynomial function, allowing for an objective selection of the most appropriate curve type and order--linear, convex or concave--in the particular application. Results do not differ significantly from previous programs for evaluation of linear Ferguson plots or of curve fitting to an exponential function for evaluating convex plots, executed on mainframe computers such as the DEC-10 (Digital) and IBM 370 computers. Thus, the program combines original versatility with, for the first time, the possibility for widespread application of Ferguson plot analysis on personal computers.

Detection of turnip crinkle virus on agarose gel electropherograms at the nanogram load level

The previous conditions for the physical characterization of turnip crinkle virus (TCV) by quantitative agarose gel electrophoresis [1, 2] were limiting the method to the microgram load level and were therefore insufficiently sensitive to satisfy the need in many areas of virology for detection of viruses containing single-stranded RNA at the nanogram level. The present report remedies that defect by presenting a technique compatible with the nanogram load level of such viruses. The technique is based on a reduction of gel thickness and on the use of silver staining.

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.

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.