Information on DNA conformation derived from transverse pore gradient gel electrophoresis in conjunction with an advanced data analysis applied to capillary electrophoresis in polymer media.

Abnormally slow migration of DNA is conventionally viewed as being due to an abnormal conformation relative to "linear" standards. The evidence for this rests on a few instances where nonlinear DNA structures have been established by independent methods and yield low mobilities relative to standards. Transverse pore gradient gel electrophoresis of authentically bent kinetoplast DNA and of an upstream activator sequence (UAS) of an E. coli operon promoter shows in addition that curves of migration distance vs. gel concentration ("Ferguson curves") of such abnormally conformed DNA differ from those of "linear" standards. Since Ferguson curves are interpretable with regard to molecular size in concordance with a mathematical model (Ogston model), transverse pore gradient gel electrophoresis provides a simple means of correlating abnormally slow migration of DNA with molecular size. In addition, transverse pore gradient gel electrophoresis is able to distinguish between DNA banding which exhibits a steeper dependence on gel concentration than "linear" standards from one which shows the same dependence. The former appears characteristic of circularly bent DNA and gives rise to a substantial retardation, the latter of bending across a knot or kink in the DNA chain associated with a relatively minor retardation relative to standards. Circularly bent restriction fragments formed from kinetoplast DNA retain the characteristic intersecting Ferguson curves on the transverse pore gradient gel. Another authentically "abnormal" DNA structure recognizable on transverse pore gradient gels is supercoiled DNA derived from the reaction of topoisomerase with a plasmid. Different lengths of supercoiled sequences give rise to parallel Ferguson curves clearly intersecting with those of linear standards.(ABSTRACT TRUNCATED AT 250 WORDS)     

Distinction between supercoiled and linear DNA in transverse agarose pore gradient gel electrophoresis.

Four species of linear DNA and the first four members of a linking series, generated by treatment of plasmid DNA (PUC19, 2.7 kb) with mitochondrial topoisomerase I, were differentiated by transverse agarose pore gradient gel electrophoresis. The experimental curves of migration distance vs. agarose concentration (Ferguson curves) of supercoiled DNA exhibit a steeper trajectory than those of linear DNA of the same size range. As a consequence, the four supercoiled species exhibit an increase in apparent size (relative to linear DNA standards) with increasing agarose concentration. Both the crossing of the Ferguson curves with those of linear standards as well as the apparent size increase with agarose concentration can serve to detect supercoiled plasmid-sized DNA in mixtures with linear DNA.     

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).     

Detection of conformational and net charge differences in DNA-protein complexes by quantitative electrophoresis on polyacrylamide-agarose copolymer gels

The Galactosidase repressor (GalR) of Escherichia coli modulates the expression of the gal operon by binding to two DNA operators, OE and O1. The OE and O1 elements are 16 bp pallindromic DNA sequences, differing in four of the base pairs. OE and O1 DNA fragments, both free and complexed with repressor, were analyzed by "quantitative gel electrophoresis". By the criteria of that method, applied to the linear Ferguson plots of both DNA fragments and the linear ranges of those of the DNA-GalR complexes, it was shown that the apparent size of DNA increases upon repressor binding. Moreover, this size increase is greater for the complex with the O1 operator than for the complex with the OE operator in the case that GalR is located in the center of a 155 bp DNA fragment. This is not the case when GalR is located in a peripheral position. By contrast with their size differences, the centrally located GalR-O1 and GalR-OE complexes appear to possess indistinguishable net surface charge densities as judged from the intercepts with the mobility axis. The larger size of the complex with centrally located O1 fragment, as compared with that bearing the OE fragment, is interpreted as being due to bending of the DNA-protein complex, since an authentically bent fragment of a plasmid with bent upstream activator sequence also exhibits a larger slope of the Ferguson plot, and thus the larger size, than predicted on the basis of its DNA chain length (bp).(ABSTRACT TRUNCATED AT 250 WORDS)     

The electric field dependence of DNA mobilities in agarose gels: a reinvestigation

The electric field dependence of the electrophoretic mobility of linear DNA fragments in agarose gels was reinvestigated in order to correct the observed mobilities for the different temperatures actually present in the gel during electrophoresis in different electric field gradients. When corrected to a common temperature, the electrophoretic mobilities of DNA fragments less than or equal to 1 kilobase pairs (kbp) in size were independent of electric field strength at all field strengths from 0.6 to 4.6 V/cm if the gels contained less than or equal to 1.4% agarose. The mobilities of larger DNA fragments increased approximately linearly with electric field strength. If the agarose concentration was higher than 2%, the mobilities of all DNA fragments increased with increasing electric field strength. The electric field dependence of the mobility was larger in gels cast and run in Tris-borate buffer (TBE) than in gels cast and run in Tris-acetate buffer (TAE), and was more pronounced in gels without ethidium bromide incorporated in the matrix. Ferguson plots were constructed for the various DNA fragments, both with and without extrapolating the temperature-corrected mobilities to zero electric field strength. Linear Ferguson plots were obtained for all fragments less than or equal to 12 kbp in size in agarose gels less than or equal to 1.4% in concentration if the mobilities were first extrapolated to zero electric field strength. Concave upward curvature of the Ferguson plots was observed for DNA fragments greater than or equal to 2 kbp in size at finite electric field strengths. Convex downward curvature of the Ferguson plots was observed for DNA fragments greater than or equal to 1 kbp in size in agarose gels greater than or equal to 2% in concentration. The mobilities of the various DNA fragments, extrapolated to zero agarose concentration and zero electric field strength, decreased with increasing DNA molecular weight; extrapolating to zero molecular weight gave an "intrinsic" DNA mobility of 2.7 x 10(-4) cm2/Vs at 20 degrees C. The pore sizes of LE agarose gels cast and run in TAE and TBE buffers were estimated from the mobility of the DNA fragments.(ABSTRACT TRUNCATED AT 400 WORDS)     

The use of denaturing gradient gel electrophoresis to screen for DNA sequence polymorphisms in the human factor VIII gene

We describe the use of denaturing gradient gel electrophoresis to screen for DNA sequence polymorphisms in the human factor VIII gene. DNA fragments that differ in sequence by only a single base pair can be separated on denaturing gradient gels due to changes in their melting behavior. Previous studies have demonstrated the use of denaturing gradient gels to detect sequence changes in human genomic DNA, including mutations in the beta globin gene and polymorphisms on chromosome 20. We have begun to use denaturing gradient gels to look for polymorphisms within the human factor VIII gene. The DNA sequences of seven cloned fragments from introns in the human factor VIII gene were determined and used to predict a melting map for each fragment. The melting behavior of each cloned fragment was evaluated by electrophoresis into denaturing gradient gels. Appropriate fragments were then used as radioactive probes for hybridization to human DNA samples that had been digested with restriction enzymes. Heteroduplexes formed between the probe and genomic DNA samples were electrophoresed into denaturing gradient gels. The final positions of heteroduplex bands were determined by autoradiography. We describe a general approach for using denaturing gradient gel electrophoresis to find DNA polymorphisms, with particular emphasis on the predictive value of DNA sequence data. We compare the efficiency of polymorphism detection by denaturing gradient gel electrophoresis with detection by restriction fragment length polymorphism (RFLP) analysis. The factor VIII gene appears to have a low level of DNA sequence polymorphism.(ABSTRACT TRUNCATED AT 250 WORDS)     

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.     

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)     

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.     

Curved DNA molecules migrate anomalously slowly in polyacrylamide gels even at zero gel concentration

The electrophoretic mobilities of curved and normal DNA molecules of the same size have been measured in polyacrylamide gels containing various acrylamide concentrations and cross-linker ratios. Ferguson plots were constructed to extrapolate the observed mobilities to zero gel concentration. The DNA samples were two 147-bp restriction fragments, called 12A and 12B, obtained from the MspI digestion of plasmid pBR322, and head-to-tail multimers of each fragment. Fragment 12A is stably curved and migrates anomalously slowly in polyacrylamide gels; fragment 12B has the conformation of normal DNA and migrates with normal electrophoretic mobilities. The extrapolated mobilities of the curved fragment 12A and its multimers at zero gel concentration are lower than the extrapolated mobilities of the normal fragment 12B and its multimers. The free solution mobility of the curved fragment 12A, measured by CE, is also lower than that of the normal fragment 12B. The combined results indicate that the extrapolated mobilities observed for curved DNA molecules at zero polyacrylamide gel concentration reflect the intrinsic differences in their free solution mobilities.     

A thin-layer multistrip polyacrylamide gel electrophoresis apparatus for Ferguson plot analysis at the submicrogram load level

A procedure was developed for casting thin-layer multistrip polyacrylamide gels and using them for the simultaneous gel electrophoresis at several gel (Ferguson plot analysis) at the sub-microgram load level, using silver staining, autoradiography and, potentially, blotting for detection. The lower viscosity of polymerization mixtures, compared to agarose gelation mixtures, required the redesign of the multistrip cassette with separation of channels by rubber gaskets and the application of a cassette press. The lowered viscosity also required addition of 35% sucrose and an increased rate of polymerization in application to multistrip gels formed on a common NetFix backing. The present design allows one to obtain Ferguson plots exemplified by those of 32P-labeled DNA followed by autoradiographic detection.     

Estimation of polyacrylamide gel pore size from Ferguson plots of normal and anomalously migrating DNA fragments. I. Gels containing 3% N,N'-methylenebisacrylamide

The mobilities of normal and anomalously migrating DNA fragments were determined in polyacrylamide gels of different acrylamide concentrations, polymerized with 3% N,N'-methylenebisacrylamide as the crosslinker. The DNA samples were a commercially available 123-bp ladder and two molecular weight ladders containing multiple copies of two 147-base pair (bp) restriction fragments, obtained from the MspI digestion of plasmid pBR322. One of the 147 bp fragments is known to migrate anomalously slowly in polyacrylamide gels. Ferguson plots were constructed for all multimer ladders, using both absolute mobilities and relative mobilities with respect to the smallest DNA molecule in each data set. If the retardation coefficients were calculated from the relative mobilities, and the rms radius of gyration was used as the measure of DNA size, the Ogston equations were obeyed and the gel fiber parameters could be calculated. The effective pore sizes of the gels were estimated from the gel concentration at which the mobility of a given DNA molecule was reduced to one-half its mobility at zero gel concentration. The estimated pore radii ranged from approximately 130 nm for 3.5% gels to approximately 70 nm for 10.5% gels. These values are much larger than the pore sizes previously determined for the polyacrylamide matrix.     

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)     

Estimation of polyacrylamide gel pore size from Ferguson plots of linear DNA fragments. II. Comparison of gels with different crosslinker concentrations, added agarose and added linear polyacrylamide.

The mobilities of various DNA fragments in two normally migrating molecular weight ladders were studied in polyacrylamide gels containing different concentrations of the crosslinker N,N'-methylenebisacrylamide (Bis). The acrylamide concentration ranged from 2.5-10.5%T (w/v); the Bis concentration ranged from 0.5-10%C (w/w), with respect to total acrylamide. Ferguson plots were constructed for each of the DNA fragments in gels of each composition. The Ferguson plots of the different multimers in each molecular weight ladder were nearly parallel in gels containing 0.5-3%C, converged close to a common intercept at zero gel concentration in gels containing 4%C, and crossed at approximately 1.5%T in gels containing 5 and 10%C. If the mobilities observed for the different DNA fragments at zero gel concentration were also extrapolated to zero DNA molecular weight, a common limiting mobility was observed in gels of all crosslinker concentrations. This limiting mobility was approximately equal to the free solution mobility of DNA. The effective pore radius of each gel was estimated from Ferguson plots based on relative mobilities, using the mobility of the smallest DNA fragment in each molecular weight ladder as the reference mobility. The calculated gel pore radii ranged from 142 nm to 19 nm, respectively, for gels containing 4.6%T, 1.5%C, and 10.5%T, 5 or 10%C. These pore radii are an order of magnitude larger than previously accepted values, but are consistent with scanning electron microscope measurements (Rüchel, R., et al., J. Chromatogr. 1978, 42, 77-90).(ABSTRACT TRUNCATED AT 250 WORDS)     

Adaptive weighted least squares method for the estimation of DNA fragment lengths from agarose gels

The size of DNA fragments is most frequently estimated from their electrophoretic mobilities. Agarose gels are used to estimate the size of DNA fragments ranging from a few hundred nucleotides to more than 20 kbp. The common practice when estimating the unknown fragment sizes is to plot the log of the size of molecular weight standards against their mobility and read the values of unknowns from this graph. However, due to perturbations in the gel, such plots often show pronounced curvature which may introduce significant subjectivity into the interpolation process. We present a new method "adaptive weighted least squares (AWLS)" based on the significance test to choose the order of polynomial. We compare this with the method introduced by Schaffer based on the modification of the Southern method. The results obtained by AWLS are significantly better than the method introduced by Schaffer. Different lanes are tested for consistency.     

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.     

Effect of total percent polyacrylamide in capillary gel electrophoresis for DNA sequencing of short fragments. A phenomenological model.

Polyacrylamide capillary gels were prepared with constant (5% C) cross-linker concentration and with total acrylamide concentration ranging from 2.5 to 6% T. At each acrylamide concentration, peak spacing was constant for DNA sequencing fragments ranging from 25 to 250 nucleotides in length. Peak spacing increased linearly with the total acrylamide concentration. The intercept of the retention time vs. fragment length plot was independent of % T. Ferguson plots were constructed for short DNA fragments; the polyacrylamide pore size falls in the 2.5 to 3.5 nm range for the gels studied. Theoretical plate count is independent of total acrylamide concentration; longitudinal diffusion, and not thermal gradients, limit the plate count. A phenomenological model is presented that predicts retention time, plate count, and resolution for sequencing fragments ranging in size from 25 to 250 bases and gels that range from 2.5 to 6% total acrylamide.     

DNA electrophoresis in agarose gels: a simple relation describing the length dependence of mobility

Electrophoretic mobilities of DNA molecules ranging in length from 100 to 10 000 base pairs (bp) were measured in gels of eleven concentrations of agarose from 0.5 to 1.5%. Excellent fits of the dependence of mobility on DNA length were obtained with the relationship [equation: see text] showing an e(-L/gamma) crossover, where L is the length of a DNA fragment and gamma is a crossover length ranging from 8000 to 12000 bp. The other parameters in the fit are mu(s) the mobility of short DNA with unit charge in the limit as length is extrapolated to zero, and muI, the mobility of long DNA as length is extrapolated to infinity. This exponential relationship should be a useful interpolation function for determining DNA lengths over a wide range. The simplicity of this relationship may be of more fundamental significance and suggests that some common feature dominates the electrophoresis of double stranded DNA fragments in agarose gels, regardless of length.     

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.     

DNA ladders can be used to size polyphosphate resolved by polyacrylamide gel electrophoresis

PAGE is often used to resolve inorganic polyphosphates (polyP), but unfortunately polyP size ladders are not commercially available. Since several dyes that are commonly used to detect nucleic acids in gels also stain polyP, we examined the utility of commercially available DNA size ladders for estimating polyP polymer lengths by gel electrophoresis. Narrow size fractions of polyP were prepared and their polymer lengths were quantified using NMR. Commercially available DNA ladders and these polyP fractions were then subjected to PAGE to determine the relationship between migration of DNA vs polyP, which was found to be: log₁₀(dsDNA length in bp) = 1.66 × log₁₀(polyP length in phosphate units) − 1.97. This relationship between DNA and polyP size held for a variety of different polyacrylamide concentrations, indicating that DNA size ladders can readily be employed to estimate polyP polymer lengths by PAGE.