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

Gel electrophoresis of gold-DNA nanoconjugates

Gold-DNA conjugates were investigated in detail by a comprehensive gel electrophoresis study based on 1200 gels. A controlled number of single-stranded DNA of different length was attached specifically via thiol-Au bonds to phosphine-stabilized colloidal gold nanoparticles. Alternatively, the surface of the gold particles was saturated with single stranded DNA of different length either specifically via thiol-Au bonds or by nonspecific adsorption. From the experimentally determined electrophoretic mobilities, estimates for the effective diameters of the gold-DNA conjugates were derived by applying two different data treatment approaches. The first method is based on making a calibration curve for the relation between effective diameters and mobilities with gold nanoparticles of known diameter. The second method is based on Ferguson analysis which uses gold nanoparticles of known diameter as reference database. Our study shows that effective diameters derived from gel electrophoresis measurements are affected with a high error bar as the determined values strongly depend on the method of evaluation, though relative changes in size upon binding of molecules can be detected with high precision. Furthermore, in this study, the specific attachment of DNA via gold-thiol bonds to Au nanoparticles is compared to nonspecific adsorption of DNA. Also, the maximum number of DNA molecules that can be bound per particle was determined.

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

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

Mathematical model for DNA separation by capillary electrophoresis in entangled polymer solutions

A mathematical model of DNA separation by capillary electrophoresis in entangled polymer solution is presented. The mechanism is modeled as a DNA molecule moving through transient pores formed in polymer solutions and colliding with blobs of polymer molecules encountered during migration. By taking account of the average retardation time (t(c)) of DNA-blob collision and calculating the total collision number (N(c)), a quantitative mathematical equation was reported, leading to predictions for the DNA mobility as a function of the experimental conditions like the size of DNA, the polymer concentration and the electric field strength. For DNA fragments in frequent size range, the initial experimental data agree well with the model. The DNA shape function (f(E)) was suggested and then discussed by the experimental data. The relationship between f(E) and electric field strength E was empirically estimated. Then, the average retardation time t(c) was obtained as about (2 approximately 3)x10(-6)s in linear polyacrylamide (LPA) and hydroxyethylcellulose (HEC) solution.

DNA analysis on electrophoretic microchips: effect of operational variables

Applicability of modern microfabrication technology to electrophoresis microchips initiated a rapidly moving interdisciplinary field in analytical chemistry. Electric field mediated separations in microfabricated devices (electrophoresis microchips) are significantly faster than conventional gel electrophoresis, usually completed in seconds to minutes. Electrophoretic separation of DNA molecules on microfabricated devices proved to have the potential to improve the throughput of analysis by orders of magnitude. The flexibility of electrophoresis microchips allows the use of a plethora of separation matrices and conditions. In this paper, we report on electric field mediated separation of fluorescent intercalator-labeled dsDNA fragments in polyvinylpyrrolidone matrix-filled microchannel structures. The separations were detected in real time by a confocal, single-point laser-induced fluorescence/photomultiplier setup. Effects of the sieving matrix concentration (Ferguson plot), migration characteristics (reptation plot), separation temperature (Arrhenius plot), as well as applied electric field strength and intercalator concentration on the separation of DNA fragments are thoroughly discussed.

Unusual capillary electrophoretic behavior of triplet repeat DNA

We investigated the electrophoretic behavior of triplet repeat DNA fragments by capillary electrophoresis and found triplet repeat DNA fragments showed unusual mobilities compared with those of commercially available DNA molecular marker. The electrophoretic data are analyzed by means of Ogston model and the mechanism of a change in mobility of triplet repeat DNA is discussed. The unusual mobilities are caused by the characteristic higher-order structure formed by GC-rich triplet repeat DNA.

When can the Ogston-Morris-Rodbard-Chrambach model be applied to gel electrophoresis?

The Ogston-Morris-Rodbard-Chrambach theory of gel electrophoresis is consistent with predictions from the volume averaging method with respect to the equivalence of the accessible volume fraction to the ratios of gel mobility to free solution mobility and the gel diffusion coefficient to free solution diffusion coefficient for the limiting case of small molecule electrophoresis with low electrical fields, low gel concentrations, and nonconductive gel fibers. When these conditions are not valid, more extensive calculations are required to determine the mobility and diffusion coefficient ratios as functions of the geometry and electrical field within the gel. The volume averaging theory shows that it is important to account for the electrical conductivity properties of the fibers that make up a gel electrophoresis medium, and this aspect is consistent with early theories of transport phenomena in gel electrophoresis.

Ultra-thin-layer agarose gel electrophoresis. I. Effect of the gel concentration and temperature on the separation of DNA fragments

A novel, rapid and efficient separation method is described for the analysis of double stranded (ds) DNA fragments in the form of horizontal ultra-thin-layer agarose gel electrophoresis. This separation technique combines the multilane, high-throughput separation format of agarose slab gel electrophoresis with the excellent performance of capillary electrophoresis. The electrophoretic separation of the fluorophore (Cy5)-labeled dsDNA molecules were imaged in real time by a scanning laser-induced fluorescence/avalanche photodiode detection system. Effects of the gel concentration (Ferguson plot) and separation temperature (Arrhenius plot) on the migration characteristics of the DNA fragments are discussed. An important genotyping application is also shown by characterizing the polymorphic region (2 X or 4 X 48 base pair repeats) of the dopamine D4 receptor gene (D4DR, exon III region) for ten individuals, using PCR technology with Cy5-labeled primers and ultra-thin-layer agarose gel electrophoresis.

Capillary electrophoretic separation of 1 to 10 kbp sized dsDNA using poly(ethylene oxide) solutions in the presence of electroosmotic counterflow

DNA fragments of 1 to 10 kbp in length were separated by capillary electrophoresis (CE), using poly(ethylene oxide) (PEO) solutions in the presence of electroosmotic flow. The technique requires filling the capillary with the polymer solution by means of electroosmotic flow (EOF). Separation times of 6-7 min in PEO solutions ranging from 0.3 to 8 x 10(6) Mr at 375 V/cm were sufficient to separate the 11 components of the dsDNA ladder (0.5 to 10 kbp) by size. The migration behavior of the double-stranded (ds)DNA fragments, interpreted by "Ferguson plot analysis", in the system is indistinguishable from that previously reported for capillary zone electrophoresis (CZE) in a polyacrylamide solution without EOF. Potential advantages of conducting CZE using polymer solutions in the presence of EOF are: (i) Possibility of long migration times on short columns; (ii) possibility of introducing relatively viscous, high Mr polymer solutions into narrow capillaries; (iii) possibility of establishing polymer concentration gradients in capillaries; (iv) possibility of concentrating the starting zone by balancing electrophoretic migration and electroosmotic transport.

Separation and microgram-scale isolation of sea urchin egg granules by electrophoresis in polyvinylpyrrolidone solution, using horizontal gel electrophoresis apparatus with fluorescence detector

A homogenate of sea urchin (Lytechinus pictus) eggs rich in exocytotic membrane vesicles (granules) was subjected to analytical and preparative electrophoresis in the commercial automated horizontal gel electrophoresis apparatus (HPGE-1000, LabIntelligence, Belmont, CA) capable of intermittent scanning of the migration path, using buffered solutions of polyvinylpyrrolidone (PVP). The nonfluorescent granules were detected by "fluorescence reduction", i.e., a decrease of fluorescence intensity due to the absorbance and/or light scattering properties of the particle. Granules migrated at linear migration rates in buffers ranging from 0 to 2.5% PVP. Two bands were observed and optimally separated in 1.5% PVP solution. As shown by sodium dodecyl sulfate (SDS)-polypeptide patterns, the material recovered from the bands was qualitatively indistinguishable from the two major fractions A and C of granules previously separated by free-flow electrophoresis in the absence of polymer. Ferguson plot analysis failed to provide the sizes of the granules in view of the narrow PVP concentration range available for mobility measurement and the unavailability of chemically homogeneous size standards.

Polymeric separation media for capillary electrophoresis of nucleic acids

The choice of polymer matrix for separating nucleic acids by capillary electrophoresis has often been arbitrary. However, considerable research in the area has led to a wealth of data exploring the key parameters of the polymer matrix that affect nucleic acid separations: polymer type, polymer molecular mass, polymer concentration, temperature, and buffer components and additives. Using this information, it is possible to use rational methods of choosing a good polymer matrix for a particular application. Further research into the properties of the mechanism of separation in polymer solutions, as well as the polymer matrix and other solution components will lead to even more efficient separations.

The characterization of composite agarose/hydroxyethylcellulose matrices for the separation of DNA fragments using capillary electrophoresis

Mixtures of the polysaccharide derivatives, 19% hydroxyethylated SeaPrep agarose (SP-AG) and hydroxyethylcellulose (HEC), in aqueous buffer solutions are applied for the first time to the separation of DNA fragments using capillary electrophoresis (CE). These matrices form unique size-sieving networks that allow the separation of a wide size range of DNA fragments in a single analysis. Relative to their homogeneous counterparts, the composite separation matrices provide enhanced selectivity properties of DNA fragments, especially for fragments greater than 1000 base pairs (bp) in length. Additionally, the effects on separation performance of capillary temperature, the incorporation of a DNA intercalator, and applied field strength are demonstrated. Solution viscosity measurements of the homogeneous and composite matrix solutions were made in order to establish the entanglement threshold concentrations for the unique size-sieving solutions. The relatively low solution viscosities of the composite separation matrices allow reproducible replacement of the separation matrix between analyses. The mechanism of separation of DNA fragments for the composite matrices is proposed.

The resolution between two native proteins and between their sodium dodecyl sulfate-complexes in agarose and polyacrylamide gel electrophoresis

Commercial gel electrophoresis apparatus with intermittent fluorescence scanning of the migration path (HPGE-1000 apparatus, LabIntelligence) makes it possible to measure band width and migration distance as a function of the duration of electrophoresis. As a result, resolution can be evaluated quantitatively and therefore different gel media can be compared objectively. The resolution of fluorescein carboxylate labeled conalbumin (molecular mass 86 kDa) and soybean trypsin inhibitor (22.7 kDa) in gel electrophoresis was found to increase as a function of the gel type in the order SeaKem GTG-, SeaKem Gold-agarose, 2% N,N'-methylenebisacrylamide cross-linked polyacrylamide, MetaPhor-XR-, and SeaPrep-agarose. The advantage in resolving capacity of SeaPrep agarose over the polyacrylamide gel was by a factor of up to five. The resolving capacity of the agaroses was in indirect relation to the degree of electroendosmosis. In all media, resolution increased with migration distance (time). The same proteins when reacted with sodium dodecyl sulfate (SDS) resolve (i) better at up to 6% SeaPrep agarose concentration than in polyacrylamide, as in the gel electrophoresis of the native proteins; (ii) less effectively, by contrast, at SeaPrep agarose concentrations > 6%, than in polyacrylamide gel; and (iii) significantly better in 4-6% SeaPrep agarose than in 4-6% SeaKem GTG agarose. Since Ferguson plot analysis in both agarose and polyacrylamide gels shows that the two SDS-proteins are larger than the native proteins with which they are complexed, the superiority of polyacrylamide gels above 7% appears to be correlated with the fact that its mean pore radius, estimated for both media using identical assumptions and identical rigid spherical standards - proteins, is approximately seven times larger than that of SeaPrep agarose in the concentration range of 3-8%, and that therefore the molecular "fit" in polyacrylamide is closer than that in SeaPrep agarose of the concentration range used. The dependence of resolution on the ratio of particle radius to mean pore radius ("fit") is also suggested by the fact that the two SDS-proteins resolve in a biphasic dependence on gel concentration in both agarose and polyacrylamide, with a maximum at 6% agarose and 10% polyacrylamide.

Interpretation of electrophoretic band shapes by a partition chromatographic model

Measurements of the shape of electrophoretic bands of phycoerythrin and conalbumin have been made at regular intervals during migration in agarose gels. Analysis of the peak shapes suggests the existence of a significant degree of asymmetry. This is to be contrasted with the symmetry around the peak associated with the generally assumed Gaussian band. The degree of asymmetry of the bands decreased as a function of time and increased with agarose concentration. A similar experiment on DNA indicated constancy of the degree of asymmetry as a function of time. These results can be interpreted as, but do not prove the validity of, a nonlocal diffusion equation which generalizes a theory originally put forth by Giddings and Eyring (J. Am. Chem. Soc. 1955, 59, 416-420). The results may be significant in framing a measure of the resolvability of electrophoretic peaks.

Reproducibility of mobility in gel electrophoresis

The quantitative exploitation of gel electrophoresis to yield molecular and gel fiber properties rests on the assumption that mobility is characteristic of the macromolecule migrating as a band and is a physical constant for any system defined by pH, ionic strength and temperature. This assumption has not been tested intra-experimentally in previous literature. With the commercial introduction of automated gel electrophoresis apparatus, the collection of multiple mobility data during a single run without additional expense of labor has made it possible to test the assumption. As a start, we undertook that test for three proteins and their sodium dodecyl sulfate (SDS) derivatives, in agarose and polyacrylamide gel electrophoresis, various field strengths, continuous and discontinuous buffers, as well as intra- and interexperimentally. It was found that in agarose gel electrophoresis conducted in a single buffer, the standard deviation of mobility over a wide concentration range ranges intra-experimentally from 0.2 to 1.3% for two globular proteins and 1.4 to 5.3% for the same proteins derivatized with SDS. Interexperimentally, it was 3% in the single case tested to date. The standard deviation in polyacrylamide appears to be higher, varies in inverse relation to the mobility value, i.e. increases with gel concentration in the range of 11 to 19%T, and varies substantially between the two SDS-proteins investigated. Mobility in a discontinuous buffer system decreases continuously due to the decreasing leading phase/trailing phase ratio along the migration path. The decrease is sharpest in the "nonrestrictive" stacking gel.

Capillary electrophoresis with polymeric separation media: considerations for theory

The theory of capillary electrophoresis with polymeric separation media is reviewed. Some of the major theories of gel electrophoresis are examined in terms of the experimental observations that they support. The considerations and difficulties in applying these theories to capillary electrophoresis with polymeric separation media are investigated, particularly the use of high electric field strengths and low concentration polymer solutions. Recent advances in this area, including some empirically-derived relationships and models currently found in the literature, and future directions for theory development are discussed.

Capillary electrophoresis of rat liver microsomes in polymer solutions

Rat liver microsome components were separated by capillary zone electrophoresis in buffers containing substituted agarose, agarose crosslinked polyacrylamide, polyacrylamide, polyethylene glycol and dextran of various molecular weights. The best resolution of the components was obtained with polymers of 10-21 nm geometric mean radius. Both the crude and the purified preparations of microsomes exhibit a single major peak. In a Tris-borate-EDTA (TBE) buffer, containing polyacrylamide of 5 x 10(6) molecular weight, it has a retardation coefficient, KR, of 0.77 +/- 0.02. Translation of the KR value to geometric mean radii, R, on the basis of the standard curve applicable to polymer solutions, KR vs. R, with polystyrene carboxylate size standards in both dextran and polyacrylamide solution allows one to estimate a value of R as 13-16 nm for the major microsome component. The value is smaller than expected from electron microscopic measurements (100-250 nm), possibly due to the chemical and geometric differences between microsomes and the polystyrene particles used as size standards. The crude preparation also contains a minor component which is smaller and less charged than the major component. Another component, apparently very much larger than the major one, is seen in TBE buffer but not in a potassium-N-(2-hydroxyethyl)piperazine-2'-(2-ethanesulfonic acid) buffer and is therefore thought to be an artifact of interaction with borate. After a short incubation under conditions promoting delayed microsome fusion, i.e. in presence of GTP and Mg++ and in the absence of polyethylene glycol, the electrophoretic pattern changes dramatically: it now exhibits five unretarded, highly mobile and, therefore, presumably large components in addition to the two original retarded components of the microsome and a less highly charged species similar in KR to the smaller of the original two components.

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.

The use of coated and uncoated capillaries for the electrophoretic separation of DNA in dilute polymer solutions

We show that both uncoated and polyacrylamide-coated capillaries provide separation of large DNA restriction fragments (2.0-23.1 kbp) by capillary electrophoresis in dilute cellulosic polymer solutions. Uncoated capillaries, however, provide significantly better resolution of DNA fragments, particularly when ultra-dilute polymer solutions are used. This is because electroosmotic flow in uncoated capillaries increases the residence time of DNA in the capillary, without significantly contributing to band-broadening. At a given field strength and polymer concentration in the buffer, the electrophoretic mobilities of DNA restriction fragments in coated capillaries are virtually identical to those previously measured in uncoated capillaries. It is concluded that the fused silica surface of the capillary does not play a significant role in the mechanism of DNA separation by capillary electrophoresis in uncrosslinked polymer solutions. Thus, the separation of large DNA which has been observed to occur in ultra-dilute polymer solutions arises primarily from entanglement interactions between the cellulosic polymers and DNA restriction fragments which occur within the bulk of the polymer solution.

Detection of a single base mismatch in double-stranded DNA by electrophoresis on uncrosslinked polyacrylamide gel

Uncrosslinked polyacrylamide forms gels in the concentration range of 15-40% acrylamide. Electrophoresis in these gels of a commercially available 350 bp heteroduplex DNA preparation separates it from the homoduplex DNA of the same size. The separation is qualitatively equivalent to that previously achieved in a commercial proprietary gel ("Mutation Detection Gel" of AT-Biochem), or in an equivalent 14% T, 0.15% C (N,N'-methylenebisacrylamide) gel, but the mechanical stability of mutation detection electrophoresis (MDE) gels or 0.15% C gels is better than that of uncrosslinked polyacrylamide gels. The separation in any of these three gel media can be carried out in short gel tubes within a few hours of electrophoresis time. In both uncrosslinked polyacrylamide and MDE gel media, the Ferguson plots [log(mobility) vs. gel concentration] and the plots of effective molecular radius vs. gel concentration ("T-plots") of both the heteroduplex and homoduplex DNA indicate an augmented size but similar flexibility upon passage through the gel than exhibited by the components of a DNA standard ladder. Homoduplex and heteroduplex DNA correspondingly exhibit a parallelism of their Ferguson curves in transverse MDE pore gradient gel electrophoresis, suggesting a surface net charge difference, possibly due to a conformational reorientation too subtle to be detected by a shift in the slope of the Ferguson plot, as has been observed once previously with a "kinked" DNA species. The gel fiber radius or length per unit volume of uncrosslinked polyacrylamide and MDE gels do not differ significantly within confidence limits, which are wide compared to unconventionally crosslinked gels, presumably because of their greater swelling.

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.

The relative separation efficiencies of highly concentrated, uncrosslinked or low-crosslinked polyacrylamide gels compared to conventional gels of moderate concentration and crosslinking

The joint report [1] has shown that the separation of heteroduplex DNA from homoduplex DNA can be achieved by uncrosslinked polyacrylamide gels or gels of a very low degree of crosslinking (0.15%) with N,N'-methylenebisacrylamide (Bis), while conventional polyacrylamide gels of 2-5% crosslinking with Bis are incapable of such a separation in the absence of added denaturing agents. This result raised the question whether in application to other separation problems the same superiority of uncrosslinked or low-crosslinked polyacrylamide existed. To test that question, Ferguson plots were determined for the members of a DNA ladder (50 to 1000 bp) in polyacrylamide with 0, 0.1, 0.2, 0.3, 0.5% C (Bis), and the separation efficiency function, S, was evaluated in comparison with that in conventional 2-5% C (Bis) gels. S was found to be lower, not higher, in gels of low crosslinking at the respective maximally effective gel concentrations. However, the range of gel concentrations in which gels of low or no crosslinking were effective extended over a range of at least 10% T, while conventionally crosslinked gels were most effective over a range of 3 to 1 units of %T.

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.

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.

Conventional isoelectric focusing and immobilized pH gradients in 'macroporous' polyacrylamide gels

Lateral aggregation in presence of a hydrophilic polymer (e.g. 10 kDa polyethylene glycol) in the gelling solution (Righetti et al., Electrophoresis 1992, 13, 587-595) is not inhibited by high ionic strength nor in the pH 4-10 interval. However, the bundles are disaggregated by glycerol (Tm at 20%) and by ethylene glycol (Tm at 24.5%) as well as by pH extremes (pH 3 and pH 11). Supercoiling is also strongly inhibited in a copolymer, formed by acrylamide an N,N-dimethylacrylamide or N-methylacrylamide. A level of 50% uncoiling is obtained well before a 1:1 ratio, already at a level of 18% N,N-dimethylacrylamide. All the above data strongly suggest that the nascent chains are held together in bundles by hydrogen bonds prior to the cross-linking event, instead of having a random orientation and distribution in the solvent. However, it is not possible to distinguish between H-bonds oriented perpendicular to the chain axis vs. H-bonds occurring within a single polymer filament, and the two types of H-bonds probably coexist. Macroporous gels perform well in steady-state electrophoretic techniques, such as conventional isoelectric focusing and immobilized pH gradients, where a large-pore structure is necessary for fast protein migration and for attainment of equilibrium conditions.

Capillary zone electrophoresis of large DNA

Capillary zone electrophoresis (CZE) of DNA 23.1 to 48.5 kb in length in polyacrylamide solutions of several concentrations provides evidence for polymer concentration and DNA length-dependent stretching and orientation of these species and suggests an effective separation at a polymer concentration of about 0.6%. Applying a 0.1% polyacrylamide concentration to the lambda-phage DNA ladder, at least 5 components are separated; separation improves with lowering of the field strength to 2 V/cm and, correspondingly, extended duration of CZE. Saccharomyces pombe chromosomal DNA separates into 3 major components on CZE at high field strength (270 V/cm) in 0.9% polyacrylamide solution, confirming a previous finding made on electrophoresis in a 1.1 mm ID tube at low field strength. However, the finding is limited to one source of the DNA plug, and the chromosomal identity of the components remains unknown. Methodological problems in the CZE of large DNA relate to the need for extended duration of pressure injection if absorbance detection is applied, the need to define the starting zone after extended pressure injection, the need to melt and digest agarose plugs prior to loading, and related needs for thermostating of the sample chamber and for software compatible with low voltage operation.

DNA electrophoresis in polymer solutions: Ogston sieving, reptation and constraint release

The electrophoresis of long polyelectrolytes is considered theoretically, with special attention to duplex DNA. We first discuss quantitative approaches to determine unambiguously the entanglement properties of polymer solutions. Following an idea proposed by Grossman and Soane, we then assume that the "mesh" size of the solution plays the role of a dynamic "pore size" in order to apply theories for gel electrophoresis. In the framework of the Ogston model, we predict that duplex DNA up to 1 kb or more should be separable in dilute (i.e. nonentangled) solutions of high molecular weight polymers. In an entangled solution, and for DNA larger than the pore size, we use a recently developed fluctuation-reptation model to predict the range of sizes in which separation should be possible as a function of electric field E and pore size zeta b. For zeta b larger than the Kuhn length of DNA, we predict a separation up to a size N*scaling as E-1 zeta b-1. For zeta b smaller than the Kuhn length, two different regimes are expected. For small electric fields (typically of the order of 10 V/cm), N*should be proportional to E-1 zeta b-3/2, whereas for high electric fields such as encountered in capillary electrophoresis, we expect that N*is proportional to E-2/5 zeta b-12/5. These predictions are qualitatively different from earlier ones. Finally, we demonstrate that the finite lifetime of the "pores" in an entangled solution (as opposed to a gel) may lead to a new migration mechanism by constraint release, which is not size-dependent.(ABSTRACT TRUNCATED AT 250 WORDS)

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.

Relative efficiency of molecular sieving in solutions of four polymers

The efficiency of size separations of polystyrene sulfate, 120-1085 nm radius, by molecular sieving in polymer solutions, expressed by the separation efficiency function S = M0 magnitude of dKR(R)/dR Te-KR(R)T [where M0 is the mobility in free solution, KR the retardation coefficient, R the geometric mean radius of the particle, KR(R) the retardation coefficient as a function of R, and the polymer concentration is T] increases from methylhydroxypropyl cellulose to polyvinyl alcohol to uncrosslinked polyacrylamide to agarose above its gelling temperature. Separations of DNA, in the size range of 3-21 nm radius, are by at least one order of magnitude more efficient than those of polystyrene sulfate in the size range of 120-1085 nm radius. A plot of S vs. R in the experimental range of T is constructed for the four polymer solutions; this allows one to select optimal media and concentrations for the sieving of particles in the desired range of molecular sizes.

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)

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.