A theoretical study of the possible use of electroosmotic flow to extend the read length of DNA sequencing by end-labeled free solution electrophoresis

End-labeled free solution electrophoresis (ELFSE) provides a means of separating DNA with free-solution CE, eliminating the need for gels and polymer solutions which increase the run time and can be difficult to load into a capillary. In free-solution electrophoresis, DNA is normally free-draining and all fragments reach the detector at the same time, whereas ELFSE uses an uncharged label molecule attached to each DNA fragment in order to render the electrophoretic mobility size-dependent. With ELFSE, however, the larger molecules are not separated enough (limiting the read length in the case of ssDNA sequencing) while the smaller ones are overseparated; the larger ones are too fast while the shorter ones are too slow, which is the opposite of traditional gel-based methods. In this article, we show how an EOF could be used to overcome these problems and extend the DNA sequencing read length of ELFSE. This counterflow would allow the larger, previously unresolved molecules more time to separate and thereby increase the read length. Through our theoretical investigation, we predict that an EOF mobility of approximately the same magnitude as that of unlabeled DNA would provide the best results for the regime where all molecules move in the same direction. Even better resolution would be possible for smaller values of EOF which allow different directions of migration; however, the migration times then would become too large. The flow would need to be well controlled since the gain in read length decreases as the magnitude of the counterflow increases; an EOF mobility double that of unlabeled DNA would no longer increase the read length, although ELFSE would still benefit from a reduction in migration time.     

Protein polymer drag-tags for DNA separations by end-labeled free-solution electrophoresis

We demonstrate the feasibility of end-labeled free-solution electrophoresis (ELFSE) separation of DNA using genetically engineered protein polymers as drag-tags. Protein polymers are promising candidates for ELFSE drag-tags because their sequences and lengths are controllable not only to generate monodisperse polymers with high frictional drag, but also to meet other drag-tag requirements for high-resolution separations by microchannel electrophoresis. A series of repetitive polypeptides was designed, expressed in Escherichia coli, and purified. By performing an end-on conjugation of the protein polymers to a fluorescently labeled DNA oligomer (22 bases) and analyzing the electrophoretic mobilities of the conjugate molecules by free-solution capillary electrophoresis (CE), effects of the size and charge of the protein polymer drag-tags were investigated. In addition, the electrophoretic behavior of bioconjugates comprising relatively long DNA fragments (108 and 208 bases) and attached to uncharged drag-tags was observed, by conjugating fluorescently labeled polymerase chain reaction (PCR) products to charge-neutral protein polymers, and analyzing via CE. We calculated the amount of friction generated by the various drag-tags, and estimated the potential read-lengths that could be obtained if these drag-tags were used for DNA sequencing in our current system. The results of these studies indicate that larger and uncharged drag-tags will have the best DNA-resolving capability for ELFSE separations, and that theoretically, up to 233 DNA bases could be sequenced using one of the protein polymer drag-tags we produced, which is electrostatically neutral with a chain length of 337 amino acids. We also show that denatured (unfolded) polypeptide chains impose much greater frictional drag per unit molecular weight than folded proteins, such as streptavidin, which has been used as a drag-tag before.     

Electric and hydrodynamic stretching of DNA-polymer conjugates in free-solution electrophoresis

The conjugation of an uncharged polymer to DNA fragments makes it possible to separate DNA by free-solution electrophoresis. This end-labeled free-solution electrophoresis method has been shown to successfully separate ssDNA with single monomer resolution up to about 110 bases. It is the aim of this paper to investigate in more detail the coupled hydrodynamic and electrophoretic deformation of the ssDNA-label conjugate at fields below 400 V/cm. Our model is an extension of the theoretical approach originally developed by Stigter and Bustamante [Biophys. J. 75, 1197 (1998)] to investigate the problems of a tethered chain stretching in a hydrodynamic flow and of the electrophoretic stretch of a tethered polyelectrolyte. These two separate models are now used together since the charged DNA is "tethered" to the uncharged polymer (and vice versa), and the resulting self-consistent model is used to predict the deformation and the electrophoretic velocity for the hybrid molecule. Our theoretical and experimental results are in good qualitative agreement.     

Length-dependent DNA separations using multiple end-attached peptide nucleic acid amphiphiles in micellar electrokinetic chromatography

End-labeled free-solution electrophoresis (ELFSE) is an alternative approach to gel-based methods for size-based electrophoretic separation of DNA. In ELFSE, an electrically neutral "drag-tag" is appended to DNA to add significant hydrodynamic drag, thereby breaking its constant charge-to-friction ratio. Current drag-tag architecture relies on covalent attachment of polymers to each DNA molecule. We have recently proposed the use of micellar drag-tags in conjunction with sequence-specific hybridization of peptide nucleic acid amphiphiles (PNAAs). This work investigates the effect of multiple PNAA attachment on DNA resolution using MEKC. Simultaneous PNAA hybridization allows for the separation of long DNA targets, up to 1012 bases, using micellar drag-tags. Each PNAA handle independently interacts with the micellar phase, reducing the overall mobility of this complex relative to individual PNAA binding. The sequence- and size-based dependence of this separation technique is maintained with multiple PNAA binding over a range of DNA sizes. Results are accurately described by ELFSE theory, yielding alpha=54 for single-micelle tagging and alpha=142 for dual-micelle tagging. This method is the first example of a non-covalent drag-tag used to separate DNA of 1000 bases based on both size and sequence.     

The molecular end effect and its critical impact on the behavior of charged-uncharged polymer conjugates during free-solution electrophoresis

Recently two novel techniques using free-solution electrophoresis to separate charged-uncharged polymer conjugates have proven successful: end-labeled free-solution electrophoresis (ELFSE) for DNA sequencing, and free-solution conjugate electrophoresis (FSCE) for molar mass profiling of uncharged polymers. The approach taken to analyze the experimental data was an extension of the theory of Long and co-workers (Long, D., Dobrynin, A. V., Rubinstein, M., Ajdari, A., J. Chem. Phys. 1998, 108, 1234-1244) for the electrophoresis of molecules with varying charge distributions. This theory also predicts that the ends of the polymers play a large role in determining the polymer's overall mobility; however, this aspect of the theory was neglected in previous work. Until now this "end effect" has, to the knowledge of the authors, not been recognized in experimental data. Through a careful investigation of the predicted end effect and a reanalysis of the experimental data, we demonstrate that indeed this effect critically impacts on the behavior of charged-uncharged polymer conjugates during electrophoresis. This work indicates that not only does the end effect need to be taken into account to avoid significant errors in data analysis, but also it provides novel system optimization approaches.     

Free-solution electrophoresis of DNA modified with drag-tags at both ends

In end-labeled free-solution electrophoresis (ELFSE), DNA molecules are labeled with a frictional modifier or "drag-tag", allowing their size-based electrophoretic separation in free solution. Among the interesting observations from early work with dsDNA using streptavidin as a drag-tag was that the drag induced by including a streptavidin label at both ends was significantly more than double that from a single streptavidin (Heller, C. et al.., J. Chromatogr. A 1998, 806, 113-121). This finding was assumed to be in error, and subsequent work focused on experiments in which only a single drag-tag is appended to one end of the DNA molecule. Recent theoretical work (McCormick, L. C., Slater, G. W., Electrophoresis 2005, 26, 1659-1667) has examined the contribution of end-effects to the free-solution electrophoretic mobility of charged-uncharged polymer conjugates, reopening the question of enhanced drag from placing a drag-tag at both ends. In this study, this effect is investigated experimentally, using custom-synthesized ssDNA oligonucleotides allowing the attachment of drag-tags to one or both ends, as well as dsDNA PCR products generated with primers appropriate for the attachment of drag-tags at one or both ends. A range of sizes of drag-tags are used, including synthetic polypeptoid drag-tags as well as genetically engineered protein polymer drag-tags. The enhanced drag arising from labeling both ends has been confirmed, with 6-9% additional drag for the ssDNA and 10-23% additional drag for the dsDNA arising from labeling both ends than would be expected from simply doubling the size of the drag-tag at one end. The experimental results for ssDNA labeled at both ends are compared to the predictions of the recent theory of end-effects, with reasonably good quantitative agreement. These experimental findings demonstrate the feasibility of enhancing ELFSE separations by labeling both ends of the DNA molecule, leading to greater resolving power and a wider range of applications for this technique.     

Molecular deformation and free-solution electrophoresis of DNA-uncharged polymer conjugates at high field strengths: theoretical predictions. Part 1: hydrodynamic segregation

Recent advancements in DNA sequencing by end-labeled free-solution electrophoresis (ELFSE) show the promise of this novel technique which overcomes the need for a gel by using a label (or drag-tag) to render the free solution mobility of the DNA size-dependent. It is the attachment of an uncharged drag-tag molecule of a set size to various lengths of DNA in the sample that selectively slows down smaller DNA chains which have less force to pull the drag-tag than larger DNA. So far, only globally random coil conformations have been associated with ELFSE, i.e., the DNA and the label together form a single, undeformed hydrodynamic unit. This paper investigates the conditions under which the DNA and label will segregate into two hydrodynamically distinct units, based on a theoretical approach developed for the electrophoresis of polyampholytes. Optimal experimental conditions tailored to the available label sizes and voltages are predicted along with insight into ideal label architecture.     

Electrophoresis: When hydrodynamics matter

The combination of hydrodynamic and electrostatic interactions leads to non-trivial effects that can be observed in various electrophoretic and electro-osmosis systems. In this article, we focus our attention on problems involving polyelectrolytes. First, we examine the free-draining behavior of polyelectrolytes such as DNA, a remarkable phenomenon that makes it impossible to use free-solution electrophoresis to fractionate nucleic acids. We show that the common assumption that hydrodynamic interactions are screened and therefore irrelevant in this system is wrong, and that one must be very careful when dealing with electro-hydrodynamics, especially when mechanical forces are also present. In the limit of small forces, one can superimpose the mechanical and hydrodynamic flow fields and make predictions that are often in excellent agreement with experiments. For DNA, the full electro- and hydrodynamics can then be reduced to the conformationally dependent superposition of a polymer sedimenting through a fluid and a polyelectrolyte being electrophoresed. This superposition or Electro-hydrodynamic Equivalence Principle has been used to explain a variety of problems and to propose methods that can allow the electrophoretic separation of DNA.     

Electrophoretic studies of polygalacturonate oligomers and their interactions with metal ions

Polygalacturonic acid, a linear homopolysaccharide, was investigated by capillary electrophoresis (CE) using linear polyacrylamide-coated capillaries and laser-induced fluorescence (LIF) detection. A successful separation of its fluorescently labeled oligomers was achieved through sieving in polyacrylamide entangled matrices. The reaction conditions for the derivatization of polygalacturonic acid were optimized. In studying the interactions between polygalacturonic acid and various metal ions, the end-label, free-solution electrophoretic (ELFSE) technique, developed earlier in our laboratory (Sudor, J., Novotny, M. V., Anal. Chem. 1995, 67, 4205-4209) was found preferable to the sieving method. ELFSE is fast and convenient in that no polymer solutions are needed for the separation. The investigation showed that for the moderately large oligomers, the strongest binding occurred with calcium and cadmium ions, while the smallest interaction was observed with magnesium ions.     

Molecular deformation and free-solution electrophoresis of DNA-uncharged polymer conjugates at high field strengths: theoretical predictions Part 2: Stretching

DNA sequencing by electrophoresis can be dramatically sped up by overcoming the need for the sieving medium. Normally it is possible to separate DNA based on size in free solution; however, not end-labeled free-solution electrophoresis (ELFSE) uses a neutral drag-tag molecule to make it possible. In experiments to date, the drag-tag and DNA together form a random coil conformation; while with future generation drag-tags and high fields, deformation of this conformation may occur. In the first paper in this series we investigated the conditions under which the DNA and label become hydrodynamically distinct (or segregated), based on a theoretical approach developed for the electrophoresis of polyampholytes. In this paper we study further deformation wherein either the DNA and/or a polymeric label stretch. We show that deformation may dramatically improve the capabilities of ELFSE, especially when both the DNA and a polymeric drag-tag fully stretch; however, reaching these regimes will require extremely high field intensities, something that only microchip technologies may be able to achieve.     

Free-solution electrophoretic separations of DNA-drag-tag conjugates on glass microchips with no polymer network and no loss of resolution at increased electric field strength

Here, we demonstrate the potential for high-resolution electrophoretic separations of ssDNA-protein conjugates in borosilicate glass microfluidic chips, with no sieving media and excellent repeatability. Using polynucleotides of two different lengths conjugated to moderately cationic protein polymer drag-tags, we measured separation efficiency as a function of applied electric field. In excellent agreement with prior theoretical predictions of Slater et al., resolution is found to remain constant as applied field is increased up to 700 V/cm, the highest field we were able to apply. This remarkable result illustrates the fundamentally different physical limitations of free-solution conjugate electrophoresis (FSCE)-based DNA separations relative to matrix-based DNA electrophoresis. ssDNA separations in "gels" have always shown rapidly declining resolution as the field strength is increased; this is especially true for ssDNA > 400 bases in length. FSCE's ability to decouple DNA peak resolution from applied electric field suggests the future possibility of ultra-rapid FSCE sequencing on chips. We investigated sources of peak broadening for FSCE separations on borosilicate glass microchips, using six different protein polymer drag-tags. For drag-tags with four or more positive charges, electrostatic and adsorptive interactions with poly(N-hydroxyethylacrylamide)-coated microchannel walls led to appreciable band-broadening, while much sharper peaks were seen for bioconjugates with nearly charge-neutral protein drag-tags.     

Separating DNA sequencing fragments without a sieving matrix.

The possibility of separating appropriately labeled DNA fragments using free-flow capillary electrophoresis was predicted a few years ago based on simple theoretical arguments. Free-flow separation of double-stranded DNA (dsDNA) fragments in the 100-1000 base range was later demonstrated using a streptavidin label. In this article, we now report that end-labeled free-flow electrophoresis (ELFSE) can also be used to sequence single-stranded DNA (ssDNA). The first 100 bases of a DNA sequencing reaction were read without any sieving matrix when fractionated streptavidin was added to the 5'-end of the ssDNA fragments. These separations required only 18 min and did not require coated capillaries. An analysis of the results indicates that sample injection, analyte-wall interactions and thermal diffusion are the limiting factors at this time. Extrapolating from our data, we predict that several hundred bases could be sequenced in less than 30 min with the proper conditions. ELFSE thus offers an attractive potential alternative to polymer solutions for DNA sequencing in capillaries and microchips.     

Quantitative experimental determination of primer-dimer formation risk by free-solution conjugate electrophoresis

DNA barcodes are short, unique ssDNA primers that "mark" individual biomolecules. To gain better understanding of biophysical parameters constraining primer-dimer formation between primers that incorporate barcode sequences, we have developed a capillary electrophoresis method that utilizes drag-tag-DNA conjugates to quantify dimerization risk between primer-barcode pairs. Results obtained with this unique free-solution conjugate electrophoresis approach are useful as quantitatively precise input data to parameterize computation models of dimerization risk. A set of fluorescently labeled, model primer-barcode conjugates were designed with complementary regions of differing lengths to quantify heterodimerization as a function of temperature. Primer-dimer cases comprised two 30-mer primers, one of which was covalently conjugated to a lab-made, chemically synthesized poly-N-methoxyethylglycine drag-tag, which reduced electrophoretic mobility of ssDNA to distinguish it from ds primer-dimers. The drag-tags also provided a shift in mobility for the dsDNA species, which allowed us to quantitate primer-dimer formation. In the experimental studies, pairs of oligonucleotide primer barcodes with fully or partially complementary sequences were annealed, and then separated by free-solution conjugate CE at different temperatures, to assess effects on primer-dimer formation. When less than 30 out of 30 base-pairs were bonded, dimerization was inversely correlated to temperature. Dimerization occurred when more than 15 consecutive base-pairs formed, yet non-consecutive base-pairs did not create stable dimers even when 20 out of 30 possible base-pairs bonded. The use of free-solution electrophoresis in combination with a peptoid drag-tag and different fluorophores enabled precise separation of short DNA fragments to establish a new mobility shift assay for detection of primer-dimer formation.     

DNA sequencing and genotyping in miniaturized electrophoresis systems

Advances in microchannel electrophoretic separation systems for DNA analyses have had important impacts on biological and biomedical sciences, as exemplified by the successes of the Human Genome Project (HGP). As we enter a new era in genomic science, further technological innovations promise to provide other far-reaching benefits, many of which will require continual increases in sequencing and genotyping efficiency and throughput, as well as major decreases in the cost per analysis. Since the high-resolution size- and/or conformation-based electrophoretic separation of DNA is the most critical step in many genetic analyses, continual advances in the development of materials and methods for microchannel electrophoretic separations will be needed to meet the massive demand for high-quality, low-cost genomic data. In particular, the development (and commercialization) of miniaturized genotyping platforms is needed to support and enable the future breakthroughs of biomedical science. In this review, we briefly discuss the major sequencing and genotyping techniques in which high-throughput and high-resolution electrophoretic separations of DNA play a significant role. We review recent advances in the development of technology for capillary electrophoresis (CE), including capillary array electrophoresis (CAE) systems. Most of these CE/CAE innovations are equally applicable to implementation on microfabricated electrophoresis chips. Major effort is devoted to discussing various key elements needed for the development of integrated and practical microfluidic sequencing and genotyping platforms, including chip substrate selection, microchannel design and fabrication, microchannel surface modification, sample preparation, analyte detection, DNA sieving matrices, and device integration. Finally, we identify some of the remaining challenges, and some of the possible routes to further advances in high-throughput DNA sequencing and genotyping technologies.     

Effect of the matrix on DNA electrophoretic mobility

DNA electrophoretic mobilities are highly dependent on the nature of the matrix in which the separation takes place. This review describes the effect of the matrix on DNA separations in agarose gels, polyacrylamide gels and solutions containing entangled linear polymers, correlating the electrophoretic mobilities with information obtained from other types of studies. DNA mobilities in various sieving media are determined by the interplay of three factors: the relative size of the DNA molecule with respect to the effective pore size of the matrix, the effect of the electric field on the matrix, and specific interactions of DNA with the matrix during electrophoresis.     

高效毛细管电泳用于以聚环氧乙烷为筛分介质分离DNA的机理研究

用毛细管电泳以聚环氧乙烷(PEO)为筛分介质对pUC19DNA/Msp Ⅰ(HpaⅡ)Marker中的12条DNA片段进行了分离,并尝试用Ogston模型、爬行模型以及线性模型对分离机理进行研究,最终发现26～147bp的小片段,在低电场强度时能很好地符合Ogston模型理论,而190～501bp中等长度的DNA片段电泳迁移率与其尺寸间存在很好的负相关的线性关系,为此,提出一种新的线性模型来进行解释.此外,还探讨了PEO的浓度和电场强度对分离的影响.其结论可更好地从理论上指导对中小片段DNA的分离,对肿瘤基因突变点的分析和PCR扩增产物的分离分析具有重要的意义.     

Improved resolution power of electrophoretic fractionation of DNA using a voltage gradient "up and down" application

The improved resolution power of electrophoretic fractionation of DNA in a wide range of molecular masses is demonstrated using an "up and down" application of voltage gradient gel electrophoresis (VGGE). This application also allows separation of different DNA fragments which are poorly fractionated in conventional electrophoresis.     

Electrophoretic ratcheting of spherical particles in well/channel microfluidic devices: Making particles move against the net field

We examine the electrophoresis of spherical particles in microfluidic devices made of alternating wells and narrow channels, including a system previously used to separate DNA molecules. Our computer simulations predict that such systems can be used to separate spherical particles of different sizes that share the same free-solution mobility. Interestingly, the electrophoretic velocity shows an inversion as the field intensity is increased: while small particles have higher velocities at low field, the situation is reversed at high fields with the larger particles then moving faster. The resulting nonlinearity suggests that asymmetric pulsed electric fields could be used to build separation ratchets: particles then have a net size-dependent velocity in the presence of a zero-mean external field. Exploiting the inversion mentioned above, we show how to design pulsed field sequences that make particles move against the mean field (an example of negative mobility). Finally, we demonstrate that it is possible to use pulsed fields to make particles of different sizes move in opposite directions, even though their charge have the same sign.