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

Capillary electrophoresis of DNA fragments in 9 to 20% uncrosslinked polyacrylamide gels: unique separating capacity hypothetically related to maintenance of random-coil DNA conformation independently of gel concentration

DNA fragments (0.1 to 2 kb) were separated by capillary electrophoresis (CE) in 9 to 20% uncrosslinked polyacrylamide gels with a resolving power ranging from 3 to o.1 million theoretical plates/meter across that DNA size range. The unique feature of electrophoresis in 18 to 20% uncrosslinked polyacrylamide is that it provides a method capable of resolving charge isomeric species of DNA fragments (0.4 to 2 kb), confirming a previous report by Heiger et al. [Heiger DN, Cohen AS, Karger BL. J Chromatogr 516 (1990) 33-48]. A similarly unique resolving capacity of uncrosslinked polyacrylamide gels for DNA previously reported is that for heteroduplex DNA [Pulyaeva H, Zakharov SF, Garner MM, Chrambach A. Electrophoresis 15 (1994) 1095-1100] matched by crosslinked gels only in the presence of denaturants [Peeters AV, Kotze MJ. PCR Methods Appl 4 (1994) 188-190; Ganguly A, Rock MJ, Prockop DJ. Proc Natl Acad Sci USA 90 (1993) 10 325-10 329]. A clue as to the cause of that unique resolving capacity of crosslinked polyacrylamide is provided by the finding in the present study of a single, gel concentration independent KR [retardation coefficient, d(log mobility)/d(gel concentration)] for the DNA fragments, which contrasts with the decrease of KR with gel concentration observed for crosslinked polyacrylamide across a wide concentration range [Orban L, Chrambach A. Electrophoresis 12 (1991) 241-246; Tietz D, Chrambach A. Electrophoresis 14 (1993) 185-190]. Since the decrease of KR with gel concentration correlates with a decrease in equivalent molecular radius [Tietz D, Chrambach A. Electrophoresis 14 (1993) 185-190], it has been interpreted as being due to the transition from a random-coiled to a stretched DNA conformation upon passage through gels of increasing concentration. Since in uncrosslinked gels the decrease of KR does not occur, it is correspondingly assumed that the random-coil conformation of DNA is maintained in those gels in the investigated concentration range up to 20%. The maintenance of random-coil conformation [Tietz D, Chrambach A. Electrophoresis 14 (1993) 185-190]. The effect of denaturants in allowing for resolution of heteroduplex DNA in crosslinked gels [Peeters AV, Kotze MJ. PCR Methods Appl 4 (1994) 188-190; Ganguly A, Rock MJ, Prockop DJ, Proc Natl Acad Sci USA 90 (1993) 10 325-10 329] supports that hypothesis of the enhanced resolving power of electrophoresis in gels that maintain random-coiled DNA within the gel concentration range used.

Band width measurement in automated gel electrophoresis apparatus: DNA dispersion in a discontinuous system and in a single buffer

Recent commercial introduction of automated gel electrophoresis apparatus allows for band width measurements during electrophoresis and therefore promises to open up the exploitation of band width and shape for the physical characterization of charged macromolecules in the same manner in which to date quantitative gel electrophoresis had exploited electrophoretic mobility at multiple gel concentrations. The measurements demonstrate decreased band width and therefore increased resolving power for a discontinuous buffer system compared to Tris-borate EDTA buffer. The dispersion coefficients (D' = (sigma 2-sigma 2o)/t) of homogeneous DNA components appear to decrease with gel concentration when either the field strength or the DNA length is small, and increase with gel concentration when these are large. This contrasting response of D' to increasing gel concentration is presumably due to DNA stretching, which increases in proportion to DNA length and field strength, and to the progressive orientation of agarose with increasing field strength.

Nonlinear "Ferguson curves" by two runs of the commercial automated HPGE-1000 gel electrophoresis apparatus with intermittent scanning of fluorescence

The exploitation of gel electrophoretic migration distance to gain information of molecular and gel fiber properties depends on the functions relating mobility with gel concentration. To the degree that these are nonlinear, the definition of those functions by past methods has been excessively laborious or, in application of gel concentration gradients, based on a number of assumptions. The recent commercial introduction of gel electrophoresis apparatus capable of intermittent scanning of the pattern promised to solve these problems. The present study shows that such apparatus allows for a precise definition of a nonlinear "Ferguson curve" (mobility vs. gel concentration) in two experiments, using different gel concentrations in the eight channels of the HPGE-1000 apparatus and 5-29 scans in each during the course of an electrophoretic run. Simultaneously, these Ferguson curves are obtained for five components of a DNA ladder ranging in DNA length from 121 to 1857 bp.

Capabilities and potentialities of transverse pore gradient gel electrophoresis

Transverse pore gradient gel electrophoresis is important as a tool for obtaining nonlinear Ferguson plots [log(mobility) vs. gel concentration], e.g. in application to DNA in polyacrylamide gels or to agarose gels, with the purpose of evaluating molecular properties (size, conformation, malleability) and gel fiber properties (fiber radius and length per unit volume). To date, it is capable of (i) yielding gel patterns ("Ferguson curves") of migration distance vs. predicted % T-range of the pore gradient, assuming its linearity; (ii) yielding information regarding molecular conformation from the intersection of Ferguson curves of unknowns (e.g. bent DNA) with those of standards; (iii) acquisition of Ferguson curves by computer, using prototype instrumentation; (iv) mathematical manipulation of acquired Ferguson curves to yielding Ferguson plots, providing that mobility in free solution has been assessed by capillary zone electrophoresis. The potentialities of the method remain unfulfilled to date due to (i) the unavailability, with a single exception, of an accurate and precise way to produce pore gradients of known shape; (ii) unavailability of a routinely applicable analysis for % T; (iii) unavailability of optimized, user-friendly and foolproof instrumentation for computer acquisition of Ferguson curves, including the present inapplicability of a commercially available electrophoresis apparatus with intermittent optical detection to transverse pore gradient gels; and (iv) unresolved problems in the statistical evaluation of Ferguson curves.

A transient entanglement coupling mechanism for DNA separation by capillary electrophoresis in ultradilute polymer solutions

Using capillary electrophoresis, large DNA molecules (2.0-23.1 kbp) may be rapidly separated in ultradilute polymer solutions (< 0.002% w/w) under a high-voltage, steady field (265 V/cm). At this polymer concentration, the separation mechanism appears to be significantly different from that postulated to occur in crosslinked gels. Based on experimental results obtained with DNA restriction fragments and with negatively charged latex microspheres, we conclude that the Ogston and reptation models typically used to describe gel electrophoresis are not appropriate for DNA separations in such dilute polymer solutions. Electrophoresis experiments employing solutions of both small and large hydroxyethyl cellulose polymers highlight the importance of polymer length and concentration for the optimum resolution of DNA fragments varying in size from 72 bp to 23.1 kbp. A transient entanglement coupling mechanism for DNA separation in dilute polymer solutions is developed, which suggests that there is no a priori upper size limit to DNA that can be separated by capillary electrophoresis in a constant field.

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)

Comparison of properties of agarose for electrophoresis of DNA

Agarose as a medium for separation of DNA was first introduced in 1962 and since the early 1970s agarose submarine gel electrophoresis has been synonymous with separations of DNA molecules larger than 1 kilobase pair (kb). The large pore size, low electroendosmosis and strength of the matrix have advantages over other media such as polyacrylamide for many applications. The variety of grades of agarose, developed by chemical manipulation of the substitutions on the agarose polymer, provides a range of matrices for separation of DNA molecules from a few base pairs (bp) to over 5 megabase pairs (Mb) in length. The introduction of low-melting-temperature agarose has revolutionised the extraction and manipulation of chromosome-sized molecules. On the other hand, the demand for analysis of very small quantities of DNA will most likely lead to the increasing importance of capillary electrophoresis. Many theories have been propounded to explain the electrophoretic migration of DNA in agarose. The most popular of these has been reptation theory but none can account for all of the reported anomalies in migration. However, anomalous migration has been exploited to study DNA structure, topology and catenation. An example of the use of two-dimensional electrophoresis to demonstrate the complexity of DNA migration through agarose is given. Generally, for molecules smaller than 50 kb, electrophoretic separation is a function of length. By alternately electrophoresing DNA in two different directions, molecules as large as 5.7 Mb have been effectively separated, although with such large molecules DNA structure as well as size may determine migration. In the case of separations of chromosomes from the intestinal protozoan, Giardia duodenalis, for example, a discrepancy of 1 Mb in the size of one chromosome, with an apparent size of 0.7-2.0 Mb, depended on the boundary conditions of separation. Major challenges for the molecular biologist are separation of larger chromosomal sized molecules, greater number of samples and smaller formats. Towards this challenge computer-aided technology is a key component in the control of electrophoresis parameters and analysis.

DNA shape and separation efficiency in polymer media: a computerized method based on electrophoretic mobility data

The computer program ELPHOFIT for evaluation of the nonlinear plots of log-(mobility) vs. polymer concentration (Ferguson plots) in terms of molecular and polymer properties has been extended to yield a measure of the molecular sieving capacity of the polymer medium. The usefulness of the extended program, version 2.2, was exemplified by the evaluation of DNA shape and separation efficiency in solutions and gels of agarose and polyacrylamide, using previous reports in the literature as a data base. That application of the extended program yields the following results:(i) The size of migrating DNA can be compared with an equivalent sphere having the same free mobility for a particular set of experimental conditions. The decrease in size of the equivalent sphere with polymer concentration previously demonstrated for agarose solutions applies to all of these polymer media; it reveals a steep, hyperbolic decline of that radius in uncrosslinked polyacrylamide solutions in contrast to the shallow decline in the other three media. (ii) The separation efficiency of polyacrylamide gels exceeds that of uncrosslinked polyacrylamide solutions; the separation efficiency of agarose solutions for DNA smaller than 1 kb in length is higher than that of polyacrylamide solutions. Program ELPHOFIT 2.2 is available on request from the first author.

Advances in DNA electrophoresis in polymer solutions

DNA electrophoresis in gels and solutions of agarose and polyacrylamide was objectively evaluated with regard to separation efficiency at optimal polymer concentrations. In application to DNA fragments, polyacrylamide gels were superior for separating fragments of less than 7800 bp, and agarose gels are the best choice for larger fragments. Agarose solutions are nearly as good as polyacrylamide gels for small DNA (< 300 bp). Agarose solutions have a higher efficiency than polyacrylamide solutions for DNA of less than 1200 bp. Separation efficiency sharply decreases with increasing length of DNA. Retardation in polyacrylamide solutions was found to depend on polymer length in a biphasic fashion. The choice of resolving polymer concentrations depends on the progressive stretching of DNA in proportion to polymer concentration. The rate of that stretching appears higher in polyacrylmide solution than in gels or in liquid or gelled agarose. Application of polymer solutions to capillary electrophoresis raises further problems concerning agarose plugs, DNA interactions with the polymers, operation at low field strength and long durations as well as detection sensitivity.

Molecular sieving of lambda phage DNA in polyacrylamide solutions as a function of the molecular weight of the polymer

Electrophoresis of lambda phage DNA was carried out in solutions at various concentrations of uncrosslinked polyacrylamide of 0.6, 1, 5 and 9 x 10(6) molecular weight (Mw) with narrow Mw distribution. By inspection of mobilities in the various concentration ranges, it appears that mobilities decrease, and retardation increases, with increasing Mw. The relation between electrophoretic retardation and the Mw of the polymer was also interpreted (i) in the manner previously applied to nonlinear Ferguson plots and compatible with the Ogston model; and (ii) empirically, on the basis of the first derivatives of the functions describing the Ferguson plots at the polymer concentrations used. Interpretation (i) shows that the retardation increases linearly in the order of 0.6, 1, 5 and 9 x 10(6) Mw of polyacrylamide. Interpretation (ii) shows a nonlinear increase of retardation in the Mw range 5 to 9 x 10(6), and a decrease in retardation as Mw is raised from 0.6 to 5.0 x 10(6). Hypothetically, interpretation (ii) can be explained mechanistically by a progressive change, as the polymer size is increased, from a collision with the surface of the polymer fiber to one occurring after permeation in the interior of a random-coiled fiber. Interpretation (i) may fail to detect that change due to the large difference between DNA mobility in solutions of the smallest polymer and the free mobility. DNA peak detection in all of the four size classes of polyacrylamide in solution is limited to relatively narrow ranges of polymer concentration.(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.

Computer-aided analysis of DNA curves on transverse gradient gels

Transverse pore gradient polyacrylamide gel electrophoresis of DNA restriction fragments was used to generate gel patterns describing migration distance as a function of gel concentration (Ferguson curves). These Ferguson curves were digitized, traced and analyzed with the aid of a personal computer. The traced curves were plotted semi-logarithmically and the plots were subjected to least-squares linear regression analysis to yield values of the slope (KR) and the intercept at %T = 0 (YO). These values are highly precise since they are based on approx. 100 measurements per curve. The computerized method reduces the errors due to manual measurements of migration distances and is time and labor saving. The method is still limited to intra-experimental comparison of Ferguson curves, since it does not as yet comprise a determination of gel concentration. At present, curve tracing remains semi-automated, requiring manual intervention when Ferguson curves cross or approach one another. Potentially, the importance of the computerized analysis of transverse pore gradient gels lies in the rapid quantitative interpretation of Ferguson curves for detection of anomalously migrating DNA species. Potentially, that application provides a more sensitive and informative mode of detection than either the mere visual observation of crossing Ferguson curves or of a shift in mobility at a single gel concentration.

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.

Resolution of circular, nicked circular and linear DNA, 4.4 kb in length, by electrophoresis in polyacrylamide solutions

Circular DNA of more than 1,400 bp in size is known not to migrate into polyacrylamide gels. The migration of supercoiled plasmid pBR322 DNA (4,363 by) into uncrosslinked polyacrylamide (Mw 5 x 10(6)) solutions and its separation, on the basis of conformation, from its nicked form is demonstrated in this study. Migration of the supercoiled, nicked circular and linear forms of the plasmid DNA is retarded in proportion to the concentration of uncrosslinked polyacrylamide, the degree of retardation being highest for the nicked circular form. Decreasing the level of supercoiling of the covalently closed circular form by decreasing the concentration of the intercalating dye (ethidium homodimer) shows that the degree of retardation decreases in proportion to the superhelix density.

Capillary electrophoresis in agarose solutions: extension of size separations to DNA of 12 kb in length

The upper limit of the size range of DNA amenable to separation in agarose solutions above their gelling temperature, using capillary zone electrophoresis apparatus, was increased to 12 kb. The plot of log(bp) vs. mobility derived from electrophoresis in 1.7% agarose solution is biphasic, exhibiting higher resolving power for DNA less than 1 kb in size than that of larger sizes. Resolving power for DNA larger than 1 kb increased when the agarose concentration was increased in the range of 1.0-2.6%. It was similar in solutions at 40 degrees C of SeaPrep and SeaPlaque agaroses as well as in Acrylaide (trade names are those of the manufacturer). However, the resolving power of SeaPrep agarose at 25 degrees C was inferior to that at 40 degrees C. Concave plots of log(mobility) vs. concentration of the agarose solutions are those predicted under the assumption that the effective "equivalent radius" of the DNA molecule diminishes with increasing agarose concentration in the investigated concentration range up to 2.6%.

Capillary electrophoresis of DNA in agarose solutions at 40 degrees C

DNA fragments ranging from 72 to 1353 bp in length (phi X174 RF DNA/HaeIII) were separated by capillary electrophoresis in 0.3-2.0% solutions of agarose (Sea-Plaque GTG) at 40 degrees C. Liquified agarose above its gelling temperature is easily filled and refilled into capillaries. Its background absorbance at 260 nm was sufficiently low to allow for DNA detection at an estimated DNA load of 13 ng/10 components. Sample injection proceeded at 1 kV for 16 s. The internal capillary diameter was 150 mu, the migration path 27 cm. Migration times varied from 5 to 14 min at 185 V/cm. Potentially, the applicability of capillary electrophoresis in agarose solutions can be expected to extend to the entire size range of DNA, in view of the recent demonstration of kb-sized circular DNA separations in agarose solutions, and those of Mb-sized DNA-agarose complexes in linear polyacrylamide solutions.

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.

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).