Gel electrophoretic mobility of single-stranded DNA: the two reptation field-dependent factors

The reptation model is the dominant theory in understanding the electrophoretic separation of single-stranded DNA molecules in gels or entangled polymer solutions. Recently, we showed that the Ogston and reptation regimes are separated by an entropic trapping regime at low field intensities. Here, we report the first comparison of the field-dependent part of the DNA mobility for both small and long reptating molecules. We show that both mobilities increase linearly with field intensity, with the mobility of the longer (comigrating) fragments increasing faster than that of the smaller ones. We compare our results to the predictions of the biased reptation model.     

Activation energy of single-stranded DNA moving through cross-linked polyacrylamide gels at 300 V/cm effect of temperature on sequencing rate in high-electric-field capillary gel electrophoresis

In DNA sequencing, single-stranded DNA fragments are separated by gel electrophoresis. This separation is based on a sieving mechanism where DNA fragments are retarded as they pass through pores in the gel. In this paper, we present the mobility of DNA sequencing fragments as a function of temperature; mobility is determined in 4% T LongRanger gels at an electric field of 300 V/cm. The temperature dependence is compared with the predictions of the biased reptation model. The model predicts that the fragment length for the onset of biased reptation with stretching increases with the square of temperature; the data show that the onset of biased reptation with stretching decreases with temperature. Biased reptation fails to model accurately the temperature dependence of mobility. We analyzed the data and extracted the activation energy for passage of sequencing fragments through the gel. For fragments containing less than ca. 200 bases, the activation energy increases linearly with the number of bases at a rate of 25 J/mol per base; for longer fragments, the activation energy increases at a rate of 6.5 J/mol per base. This transition in the activation energy presumably reflects a change in conformation of the DNA fragments; small fragments exist in a random coil configuration and larger fragments migrate in an elongated configuration.     

Distinct conformations of DNA-stabilized fluorescent silver nanoclusters revealed by electrophoretic mobility and diffusivity measurements

Silver-DNA nanoclusters (Ag:DNAs) are novel fluorophores under active research and development as alternative biomolecular markers. Comprised of a few-atom Ag cluster that is stabilized in water by binding to a strand of DNA, they are also interesting for fundamental explorations into the properties of metal molecules. Here, we use in situ calibrated electrokinetic microfluidics and fluorescence correlation spectroscopy to determine the size, charge, and conformation of a select set of Ag:DNAs. Among them is a pair of spectrally distinct Ag:DNAs stabilized by the same DNA sequence, for which it is known that the silver cluster differs by two atoms. We find these two Ag:DNAs differ in size by ～30%, even though their molecular weights differ by less than 3%. Thus a single DNA sequence can adopt very different conformations when binding slightly different Ag clusters. By comparing spectrally identical Ag:DNAs that differ in sequence, we show that the more compact conformation is insensitive to the native DNA secondary structure. These results demonstrate electrokinetic microfluidics as a practical tool for characterizing Ag:DNA.     

Rapid on-chip postcolumn labeling and high-resolution separations of DNA

When performing genetic analysis on microfluidic systems, labeling the sample DNA for detection is a critical preparation step. Labeling procedures often involve fluorescently tagged primers and PCRs, which lengthen experimental run times and introduce higher levels of complexity, increasing the overall cost per analysis. Alternatively, on-chip labeling techniques based on intercalating dyes permit rapid labeling of DNA fragments. However, as noted in the literature, the stochastic nature of dye-DNA complex formation hinders the native electrophoretic migration of DNA fragments, degrading the separation resolution. In this study, we present a novel method of controllably labeling DNA fragments at the end of the electrophoretic separation channel in a glass microfluidic chip. Permitting the DNA to separate and labeling just before detection, achieves the rapid labeling associated with intercalators while maintaining the high resolution of native DNA separations. Our analyses are completed in minutes, rather than the hours typical of sample prelabeling. We demonstrate an electrophoretic microchip-based intercalator labeling technique that achieves higher resolution performance than reported in the literature to date.     

Electrophoretic migration of proteins in semidilute polymer solutions

We present a systematic study of the electrophoretic migration of 10-200 kDa protein fragments in dilute-polymer solutions using microfluidic chips. The electrophoretic mobility and dispersion of protein samples were measured in a series of monodisperse polydimethylacrylamide (PDMA) polymers of different molecular masses (243, 443, and 764 kDa, polydispersivity index <2) of varying concentration. The polymer solutions were characterized using rheometry. Prior to loading onto the microchip, the polymer solution was mixed with known concentrations of SDS (SDS) surfactant and a staining dye. SDS-denatured protein samples were electrokinetically injected, separated, and detected in the microchip using electric fields ranging from 100 to 300 V/cm. Our results show that the electrophoretic mobility of protein fragments decreases exponentially with the concentration c of the polymer solution. The mobility was found to decrease logarithmically with the molecular weight of the protein fragment. In addition, the mobility was found to be independent of the electric field in the separation channel. The dispersion is relatively independent of polymer concentration and it first increases with protein size and then decreases with a maximum at about 45 kDa. The resolution power of the device decreases with concentration of the PDMA solution but it is always better than 10% of the protein size. The protein migration does not seem to correspond to the Ogston or the reptation models. A semiempirical expression for mobility given by van Winkle fits the data very well.     

Genome scanning by two-dimensional DNA typing: the use of repetitive DNA sequences for rapid mapping of genetic traits.

The existence of repetitive DNA sequences offers the possibility to assess the mammalian genome for individual variation in its entirety rather than at one or only a few sites. In order to fully explore the various sets of mammalian repeat sequences for this purpose, analytical tools are required which allow many if not all individual members of sets of repetitive elements to be resolved and identified in terms of location and allelic variation. We have applied and further developed an electrophoretic system, two-dimensional DNA typing, which may fulfill these requirements. The two-dimensional system combines separation of DNA fragments by size in a neutral gel, with separation by sequence composition in a denaturing gradient gel. By hybridization with minisatellite- and simple-sequence core probes and by inter-repeat polymerase chain reaction techniques, it is possible to obtain individual--and even chromosome-specific separation patterns that consist of hundreds of spots. Computerized image analysis and matching of such spot patterns allows the rapid assessment of multiple polymorphisms, spread over the genome, to monitor genetic variability in populations. When coupled to databases of polymorphic DNA markers with a known genomic location, two-dimensional DNA typing can greatly accelerate the mapping of genetic traits in humans, animals, and plants.     

Improvement of base-calling in multilane automated DNA sequencing by use of electrophoretic calibration standards, data linearization, and trace alignment

We present a new method for the linearization and alignment of data traces generated by multilane automated DNA sequencing instruments. Application of this method to data generated with the Visible Genetics Open Gene DNA sequencing system (using MicroCel 700 gel cassettes, with a 25 cm separation distance) allows read lengths of > 1,000 nucleotides to be routinely obtained with high confidence and > 97% accuracy. This represents an increase of 10-15% in average read length, relative to data from this system that have not been processed in the fashion described herein. Most importantly, the linearization and alignment method allows usable sequence to be obtained from a fraction of 10-15% of data sets which, because of original trace misalignment problems, would otherwise have to be discarded. Our method involves adding electrophoretic calibration standards to the DNA sequencing fragments. The calibration standards are labeled with a dye that differs spectrally from the dye attached to the sequencing fragments. The calibration standards are identical in all the lanes. Analysis of the mobilities of the calibration standards allows correction for both systematic and random variation of electrophoretic properties between gel lanes. We have successfully used this method with two-dye and three-dye DNA sequencing instruments.     

Universal interpolating function for the dispersion coefficient of DNA fragments in sieving matrices

The separation of DNA fragments by (slab or capillary) gel electrophoresis has been studied extensively. To characterize the separation achieved by such systems, one needs to understand the impact (and their dependency upon the experimental quantities) of two physical parameters: the electrophoretic mobility mu and the diffusion coefficient D. Three different regimes have been shown to exist for both mu and D: the Ogston regime, the reptation regime and the reptation with orientation regime (note that separation is only possible for the first two regimes). In the small electric field limit, both mu and D are apparently well described by theories for all three regimes. Unfortunately this results in disjointed scaling laws and no theory-based general equations can apply to all regimes. Recently, an empirical interpolating formula has been proposed that adequately fits the low electric field mobility mu of dsDNA fragments across all three regimes and is compatible with accepted theories. In this article we review and clarify the current state of knowledge regarding the size dependence of the mobility and the diffusion coefficient and propose an interpolating formula for molecular size dependence of the low field diffusion coefficient D. With formulas for both the mobility and the diffusion coefficient as a function of the experimental conditions one could, in principle, optimize any gel/polymer matrix-based electrophoresis system for a wide range of DNA molecular sizes.     

Nanoparticle-filled capillary electrophoresis for the separation of long DNA molecules in the presence of hydrodynamic and electrokinetic forces

We report the analysis of long DNA molecules by nanoparticle-filled capillary electrophoresis (NFCE) under the influences of hydrodynamic and electrokinetic forces. The gold nanoparticle (GNP)/polymer composites (GNPPs) prepared from GNPs and poly(ethylene oxide) were filled in a capillary to act as separation matrices for DNA separation. The separations of lambda-DNA (0.12-23.1 kbp) and high-molecular-weight DNA markers (8.27-48.5 kbp) by NFCE, under an electric field of -140 V/cm and a hydrodynamic flow velocity of 554 microm/s, were accomplished within 5 min. To further investigate the separation mechanism, the migration of lambda-DNA was monitored in real time using a charge-coupled device (CCD) imaging system. The GNPPs provide greater retardation than do conventional polymer media when they are encountered during the electrophoretic process. The presence of interactions between the GNPPs and the DNA molecules is further supported by the fluorescence quenching of prelabeled lambda-DNA, which occurs through an energy transfer mechanism. Based on the results presented in this study, we suggest that the electric field, hydrodynamic flow, and GNPP concentration are the three main determinants of DNA separation in NFCE.     

Analysis of limiting factors of DNA band separation by a DNA sequencer using fluorescence detection.

The factors affecting the electrophoretic separation of DNA bands in DNA base sequencing using fluorescence detection are analyzed. All the factors contributing to DNA band spacing and band width are evaluated; DNA diffusion and thermal effects on gels are the main considerations. The dependence of the gel's electrical resistivity on gel temperature and the variation of temperature over gel thickness are associated with a broadening of DNA band width. As a result of the analyses the maximum separable base number is represented as a function of various electrophoretic variables. The best separations are possible with an electric field strength corresponding to gel thickness. The maximum separable base number increases as the gel thickness decreases. It also increases as the migration distance increases, but it becomes saturated and has an upper limit when the migration distance is long. This upper limit increases as gel thickness decreases. DNA fragments with 600 and 601 bases can be completely separated from each other under optimum conditions for a 0.2 mm thick gel plate. Furthermore, using the band spacing information, under the same conditions, 750 bases could be assigned separately.     

Mobility, diffusion and dispersion of single-stranded DNA in sequencing gels

Electrophoresis of single-stranded DNA in denaturing polyacrylamide gels is presently a standard procedure for the sequencing of DNA fragments. A thorough understanding of the factors that determine the resolution of DNA fractionated in polyacrylamide gels is necessary to optimize the performance of DNA sequencers. Significant research on the mobility of double-stranded (ds)DNA molecules in agarose and polyacrylamide gels has been performed, and the phenomenon of band broadening of single-stranded (ss)DNA fragments in DNA sequencing gels has received attention only recently. In this paper, we present a detailed study of mobility, diffusion and dispersion of ssDNA in sequencing gels as a function of molecular size, gel concentration and electric field strength. DNA mobility is shown to be essentially independent of electric field in the range of 0-60 V/cm. The band broadening is greatly enhanced in the presence of an electric field and the dispersion coefficient (DE) can be an order of magnitude higher than the field-free diffusion coefficient. The measured migration parameters approximately follow the predictions of the biased reptation including fluctuations (BRF) theory. However, deviations due to nonidealities of the separation conditions are observed. The measured migration parameters can be used to optimize the performance of separation systems.     

A computer simulation of trapping electrophoresis

The gel electrophoretic migration of streptavidin-DNA complexes is severely altered by the phenomenon known as “trapping electrophoresis.” We present a first computer simulation study of this process. Our simulations use the very efficient biased reptation algorithm. The steady state is characterized by a large increase in band broadening and interband separation. However, we also find that for a narrow range of molecular sizes, the separation power of gel electrophoresis is greatly increased. We discuss the implications of our findings for the possible improvement of DNA sequencing technologies. © 1992 John Wiley & Sons, Inc.     

Rapid high-performance liquid chromatography of nucleic acids with polystyrene-based micropellicular anion exchangers

Nucleic acids were separated by ion-exchange chromatography on 30 x 4.6 and 100 x 4.6 mm columns packed with a micropellicular anion exchanger made of 3-microns rigid polystyrene-based non-porous microspheres with a covalently bound hydrophilic layer and DEAE functional groups at the surface. The stationary phase particles showed negligible swelling in methanol according to permeability measurements with water and methanol. Nucleic acids and their fragments including synthetic single-stranded oligonucleotides, linear, nicked and supercoiled DNAs as well as DNA restriction fragments were separated in less than 5 min, a time scale that is much smaller than that of conventional high-performance liquid chromatographic analysis for such samples. When only buffer and sodium chloride were used in the eluent for the separation of double-stranded DNA restriction fragments pGEM-3Z/Taq I, electrophoretic analysis of the effluent revealed the presence of smaller fragments in the bands of the larger ones. Upon addition of ethylenediaminetetraacetic (EDTA) salt to the eluent, however, such contamination by shorter fragments was no longer observed. In the absence of EDTA, magnesium chloride in the eluent at a concentration of 1 mM precluded the separation of the restriction fragments under otherwise identical chromatographic conditions.     

Capillary electrophoresis in sieving matrices: selectivity per base, mobility slope, and inflection slope

We compare the migration behavior of DNA sequencing fragments in hydroxyethyl cellulose (HEC) to the theoretical model of migration in the reptation mode. Good agreement was found for the mobility curve. We derived empirical equations for the relationship between selectivity per base and sieving matrix concentration and between the mobility slope and matrix concentration. We propose the inflection slope, i.e., the slope of the log-log mobility curve at its inflection point, as the quantitative parameter of sieving performance.     

Unique physical signature of DNA curvature and its implications for structure and dynamics

A particularly sensitive birefringence technique is used to analyze a curved DNA fragment with 118 bp and a standard DNA with 119 bp. At salt concentrations from 0.5 to 10 mM, both fragments show the usual negative stationary birefringence and monotonic transients - differences are relatively small. At 100 mM salt the curved DNA shows a positive stationary birefringence and non-monotonic transients with processes having amplitudes of opposite sign, whereas signals of the standard DNA remain as usual. Transients induced by reversal of the field vector indicate the existence of a permanent dipole for the curved DNA. 2-MHz-ac pulses induce a negative stationary birefringence in both DNAs. These results are consistent with calculations on models for curved DNA predicting a quasi-permanent dipole and a positive dichroism/birefringence. The quasi-permanent dipole results from the loss of symmetry in the charge distribution of the curved polyelectrolyte. The appearance of the unique signature of curvature at high salt is mainly due to a strong decrease of the polarizability by about 2 orders of magnitude. The special mode of orientation resulting from the quasi-permanent dipole is expected to contribute to the gel migration anomaly. The time constants of birefringence decay for the curved fragment are shorter than those of the 119 bp fragment by a factor of approximately 1.10 at 0.6 mM salt, whereas this factor is approximately 1.20 at 100 mM Na+. If both fragments were normal DNA with 3.4 A rise per base pair, the factor would be approximately 1.02. At high salt and high electric field strengths the factor increases up to 1.37. The implications for the bending dynamics and the potential to distinguish static from dynamic persistence by field reversal experiments are discussed. The dependence of the curvature on the salt concentration indicated by the time constants is consistent with a clear decrease of the electrophoretic anomaly at decreasing salt concentration.     

A theoretical study of an empirical function for the mobility of DNA fragments in sieving matrices

The separation of DNA fragments by gel electrophoresis has been studied extensively over the last two decades. More recently, similar studies have been carried out to characterize the separation achieved by the current capillary array electrophoresis systems and their sieving polymer solutions. In all cases, at least three different mobility regimes have been shown to exist: the Ogston regime when the radius of gyration of the DNA fragment is smaller than the pore size, the reptation regime when the DNA is larger than the pore size but remains in a random coil conformation, and finally the reptation-with-orientation regime where the DNA orients in the field direction and essentially all resolution is lost. Unfortunately, although theory helps us understand the different regimes and how to properly exploit them, we still have no theory-based general equations that would apply to all regimes. Such equations would be especially useful to analyze data, optimize separation systems and interpolate mobilities to estimate unknown molecular sizes. Recently, van Winkle, Beheshti and Rill (Electrophoresis 2002, 23, 15-19) proposed an intriguing empirical formula that seems to adequately fit the mobility of dsDNA fragments across all three regimes. In this paper, I investigate the relation between this empirical formula and the known theories of gel electrophoresis, and I study the dependence of its fitting parameters upon the experimental conditions. Finally, I examine how this equation may need to be modified to capture the more subtle details predicted by fundamental theories of DNA gel electrophoresis.     

Contaminant-induced current decline in capillary array electrophoresis

High-throughput capillary array electrophoresis (CAE) instruments for DNA sequencing suffer to varying degrees from read length degradation associated with electrophoretic current decline and inhibition or delay in the arrival of fragments at the detector. This effect is known to be associated with residual amounts of large, slow-moving fragments of template or genomic DNA carried through from sample preparation and sequencing reactions. Here, we investigate the creation and expansion of an ionic depletion region induced by overloading the capillary with low-mobility DNA fragments, and the effect of growth of this region on electrophoresis run failure. Slow-moving fragments are analytically and experimentally shown to reduce the ionic concentration of the downstream electrolyte. With injection of large fragments beyond a threshold quantity, the anode-side boundary of the nascent depletion region begins to propagate toward the anode at a rate faster than the contaminant DNA migration. Under such conditions, the depletion region expands, the capillary current declines dramatically, and the electrophoresis run yields a short read length or fails completely.     

Microelectrophoresis for the separation of DNA fragments.

A methodology has been developed which significantly reduces the linear dimension necessary for the electrophoretic separation of DNA fragments and oligonucleotides. DNA fragments are rapidly separated into compact, resolvable microscopic banding patterns which can be detected using a high-resolution electronic imaging system. Separations can be carried out in either capillary tube or thin-layer (slab) microgel formats of one centimeter or less in length. The complete separation of all eleven fragments (1353 to 72 base pairs) of the pi X174 DNA/HaeIII restriction ladder was achieved in a total running distance of less than 2 mm and in less than 2 min. The observed band widths for the larger fragments (1353-603 bp) ranged from 18 to 25 microns, with the intermediate and smaller fragments (310 to 72 bp) ranging from 30 microns to 60 microns. The ethidium bromide-stained microgels were analyzed using an epifluorescent microscope combined with an intensified charged coupled device imaging system. In other experiments, single-base resolution of fluoresceinated oligonucleotides in the 20-30 nucleotide range was demonstrated. DNA sequencing may be possible with further optimization. This new methodology departs from the conventional gel formulations and electrophoretic procedures used for the separation DNA fragments. High voltage gradients and the use of highly concentrated and crosslinked homogeneous polyacrylamide gels effects the rapid separation of DNA fragments in very short distances. Analysis of the microgels with proteins of known size (Stokes radius) indicates that separations are occurring in gels with pore sizes close to the diameter of double-stranded DNA.(ABSTRACT TRUNCATED AT 250 WORDS)     

Single-molecule immunoassay and DNA diagnosis

Many assays relevant to disease diagnosis are based on electrophoresis, where the migration velocity is used for distinguishing molecules of different size or charge. However, standard gel electrophoresis is not only slow but also insensitive. We describe a single-molecule imaging procedure to measure the electrophoretic mobilities of up to 100000 distinct molecules every second. The results correlate well with capillary electrophoresis (CE) experiments and afford confident discrimination between normal (16.5 kbp) and abnormal (6.1 kbp) mitochondrial DNA fragments, or beta-phycoerythrin-labeled digoxigenin (BP-D) and its immunocomplex (anti-D-BP-D). This demonstrates that virtually all electrophoresis diagnostic protocols from slab gels to CE should be adaptable to single-molecule detection. This opens up the prossibility of screening single copies of DNA or proteins within single biological cells for disease markers without performing polymerase chain reaction (PCR) or other biological amplification.     

Effect of divalent metal ions on DNA studied by capillary electrophoresis

Divalent metal ions, such as Zn(2+), Co(2+), and Ni(2+), are capable of incorporating into DNA under certain conditions to form complexes termed M-DNA. To better understand the effects of these cations on DNA we used capillary electrophoresis (CE). The presence of these metal ions in a typical genotyping buffer led to broad peaks with low fluorescence intensities. In addition, some of the metal-complexed DNA molecules had different electrophoretic mobilities than their normal DNA counterparts. It is likely that the mobility shifts observed in the electropherograms of these affected fragments are due to the divalent cations causing structural changes in the single-stranded DNA. However, as can be seen from the resulting peak shapes, the structure, charge, and/or mass changes due to metal binding are not conserved among all of the DNA fragments. The extent of both peak-broadening and mobility shifts were found to be dependent on the metal cation and its concentration, the length of time that the DNA sample existed in formamide prior to injection into the capillary, and also the fragment size and sequence. These results suggest that the presence of metal ions might be responsible for the poor CE performance that occurs when genotyping certain kinds of DNA samples.