Quantitative predictions for DNA two-dimensional display according to size and nucleotide sequence composition

2-D DNA display is a simple separation method that provides a fast and economical way of visualizing polymorphism and comparing genomes. The DNA fragments are separated first according to their size by standard gel electrophoresis and then according to their sequence composition using denaturing gradient gel electrophoresis. First developed by Fischer and Lerman (Cell 1979, 16, 191-200), this method has recently been used to distinguish strains within a bacterial species. The genomic restriction fragments are displayed as spots on a 2-D surface. Although most of the relevant physical mechanisms are understood, this technique is mostly empirical and remains essentially qualitative. In view of optimizing this procedure, we combine our understanding of the different physical mechanisms at play to develop a complete numerical model to predict the relative coordinates of the spots as a function of the corresponding DNA sequence and of the experimental conditions. We experimentally validate our model by predicting the outcome of a 2-D display of the lambda phage genome. It thus becomes possible to optimize in silico the experimental parameters, to predict whether specific mutations as well as yet undescribed genetic polymorphisms can be resolved, and to assist in interpreting the experimental data.     

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.     

Sieving properties of end group‐halogenated Pluronic polymer matrix in DNA separation under nondenaturing CE analysis

CE‐SSCP analysis is a well‐established DNA separation method that is based on variations in mobility caused by sequence‐induced differences in the conformation of single‐stranded DNA. The resolution of CE‐SSCP analysis was improved by using a Pluronic polymer matrix, and it has been successfully applied in various genetic analyses. Because the Pluronic polymer forms a micellar cubic structure in the capillary, it provides a stable internal structure for high‐resolution CE‐SSCP analysis. We hypothesized that formation of micellar cubic structure is influenced by the end hydroxyl group of the Pluronic polymer, which affords structural stability through hydrogen bonding. To test this hypothesis, the hydroxyl group was halogenated to eliminate the hydrogen bonding without disturbing the polarity of polymer matrix. CE‐SSCP resolution of two DNA fragments with a single base difference was significantly worse in the halogenated polymer matrices due to band broadening. The viscoelastic properties of control (which has hydroxyl group), chlorinated, and brominated F108 solution upon heating were also investigated by rheological experiments, and we found that gelation was significantly associated with resolution. In this series of experiments, the effect of the hydroxyl group in Pluronic polymer matrix on separation resolution of CE‐SSCP analysis was demonstrated.     

Electrophoretic behavior of DNA‐methyl‐CpG‐binding domain protein complexes revealed by capillary electrophoreses laser‐induced fluorescence

The free solution electrophoretic behavior of DNA‐protein complexes depends on their charge and mass in a certain experimental condition, which are two fundamental properties of DNA‐protein complexes in free solution. Here, we used CE LIF to study the free solution behavior of DNA‐methyl‐CpG‐binding domain protein (MBD2b) complexes through exploring the relationship between the mobilities, charge, and mass of DNA‐protein complexes. This method is based on the effective separation of free DNA and DNA‐protein complexes because of their different electrophoretic mobility in a certain electric field. In order to avoid protein adsorption, a polyacrylamide‐coated capillary was used. Based on the evaluation of the electrophoretic behavior of formed DNA‐MBD2b complexes, we found that the values of (μ₀/μ)‐1 were directly proportional to the charge‐to‐mass ratios of formed complexes, where the μ₀ and μ are the mobility of free DNA probe and DNA‐protein complex, respectively. The models were further validated by the complex mobilities of protein with various lengths of DNA probes. The deviation of experimental and calculated charge‐to‐mass ratios of formed complexes from the theoretical data was less than 10%, suggesting that our models are useful to analyze the DNA‐binding properties of the purified MBD2b protein and help to analyze other DNA‐protein complexes. Additionally, this study enhances the understanding of the influence of the charge‐to‐mass ratios of formed DNA‐protein complexes on their separation and electrophoretic behaviors.     

基于加权相位分离的二维互相关弹性成像方法研究

弹性成像能够检测组织的弹性信息,进而描述组织生理、病理状态,对疾病的检测和诊断具有重要的应用价值。为了改善二维弹性算法的轴向分辨率,本文对一维和二维弹性成像算法进行了比较研究,提出一种基于加权相位分离和二维互相关的混合位移估计算法,首先利用二维时域互相关技术进行粗估计,然后再利用加权相位分离技术(WPS)对结果进行精估计。同时,通过仿真和仿体实验对算法的精确性和效率进行了验证。结果表明,算法具有较好的鲁棒性,能够有效地提高运行效率和图像信噪比,上述研究对高性能弹性成像系统的研究与设计具有重要的指导意义。     

Use of a heterogeneous buffer combination in microchip electrophoresis for high-resolution separation by on-line concentration of DNA samples

We have developed a novel high-resolution separation technique of DNA fragments in a heterogeneous combination of a sample buffer and a separation buffer. The use of a heterogeneous buffer combination is a simple method for on-line concentration of DNA fragments, in which a sample buffer is simply exchanged with one including taurine anions. The mobility of taurine anions, co-ions for DNA, is lower than the that of acetate anions in a separation buffer. The difference in the mobility invokes transient isotachophoresis. The current technique allows DNA fragments to be effectively concentrated and the separation length of microchips to be shorter than that of conventional ones by a factor of three without deterioration in separation resolution and any modification of a chip design. Fragments of 100-bp DNA ladders (100-1000 bp) were separated with high resolution (0.72-10.7) within 60 s with a 10 mm separation length on a polymethyl methacrylate chip. Furthermore, fragments of 10-bp DNA ladders (10-330 bp) were separated with high resolution (0.69-2.00) with a 10 mm separation length within 50 s without band broadening. The current achievements will make it possible to fabricate compact devices for microchip electrophoresis.     

The electrophoretic mobility of DNA fragments differing by a single 3′‐terminal nucleotide in an automated capillary DNA sequencer

The electrophoretic mobility of DNA fragments that differ by a single 3′‐terminal nucleotide was assessed by capillary electrophoresis. This was accomplished using dideoxy sequencing with a 5′‐fluorescently labelled primer to generate DNA fragments with 3′‐hydrogen ends. The resulting DNA fragments were electrophoresed on the ABI 3730 automated capillary sequencer, and the data were analysed with the GeneMapper software to determine the electrophoretic mobility differences on addition of a 3′‐terminal nucleotide. It was found that the 3′‐terminal nucleotide gave rise to different electrophoretic mobility profiles depending on the identity of the terminal nucleotide. The apparent electrophoretic mobility was (faster) –C > ?A > ?T > ?G (slower). The C‐terminated fragments were the fastest and the G‐terminated fragments the slowest, relative to other nucleotides. It was proposed that the terminal nucleotide effect was due to changes in partial net charges on the nucleotides that resulted in alterations in the electrophoretic mobility of the DNA fragments in the automated capillary DNA sequencer. Other alternative explanations are also discussed. Copyright © 2012 John Wiley & Sons, Ltd.     

Separation efficiency of free‐solution conjugated electrophoresis with drag‐tags incorporating a synthetic amino acid

DNA sequencing or separation by conventional capillary electrophoresis with a polymer matrix has some inherent drawbacks, such as the expense of polymer matrix and limitations in sequencing read length. As DNA fragments have a linear charge‐to‐friction ratio in free solution, DNA fragments cannot be separated by size. However, size‐based separation of DNA is possible in free‐solution conjugate electrophoresis (FSCE) if a “drag‐tag” is attached to DNA fragments because the tag breaks the linear charge‐to‐friction scaling. Although several previous studies have demonstrated the feasibility of DNA separation by free‐solution conjugated electrophoresis, generation of a monodisperse drag‐tag and identification of a strong, site‐specific conjugation method between a DNA fragment and a drag‐tag are challenges that still remain. In this study, we demonstrate an efficient FSCE method by conjugating a biologically synthesized elastin‐like polypeptide (ELP) and green fluorescent protein (GFP) to DNA fragments. In addition, to produce strong and site‐specific conjugation, a methionine residue in drag‐tags is replaced with homopropargylglycine (Hpg), which can be conjugated specifically to a DNA fragment with an azide site.     

Further Study on Separation of DNA Fragments by Capillary Electrophoresis by Quasi-interpenetrating Network of Polyacryamide and Polyvinylpyrrolidone with UV Detection

Quasi-interpenetrating network of polyacrylamide （PAA） and polyvinylpyrrolidone （PVP） had been successfully used for single-base resolution of double-stranded DNA （0.76 for 123 bp/124 bp） and single-stranded DNA fragments （0.97 for 123 b/124 b） with UV detection. This quasi-IPN （interpenetrating network） sieving matrix showed low viscosity （23.5 mPa·s at 25 ℃） and decreased with increasing temperature. This polymer also exhibited dynamically coating capacity and could be used in the uncoated capillary. The effects of temperature and electric field strength on the DNA separation of quasi-IPN matrix were also investigated and found that the temperature and electric field strength could markedly affected the mobility behavior of DNA fragments. This polymer matrix has also applied to separate the bigger DNA fragments by capillary electrophoresis with UV detection. Under the denaturing conditions, this matrix separated the samples with last fragment of 1353 base in 40 rain, in which the doublet of 309/310 base was partial separated and the resolution was 0.88.     

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.     

Molecular dynamics of minimal B‐DNA

Stable and accurate molecular dynamics (MD) of B‐DNA duplexes can be obtained in inexpensive computational conditions where only the minor groove is filled with water while the bulk solvent is represented implicitly. This model system presents significant theoretical as well as practical interest because, due to its simplicity and exceptional computational performance, it can be employed in simulations of very long DNA fragments. To better understand its properties and clarify the physical background of the effects produced by the limited water shell, dynamics of several different DNA oligomers was studied. It is found that optimal simulation conditions are reached when the explicit water is confined within the minor groove while the major groove is cleaned periodically. The internal solvent mobility appears high enough to observe in the nanosecond time scale spontaneous formation of sequence‐specific hydration patterns known from experiments. It is shown that the model produces stable MD trajectories close to the B‐DNA form regardless of the base pair sequence and that, on the other hand, the dynamics are strongly sequence dependent. Independent observations suggest that B‐DNA with only minor groove hydrated resembles its natural thermodynamic state at low water concentration; therefore, this model system can be tentatively called “minimal B‐DNA.” © 2001 John Wiley & Sons, Inc. J Comput Chem 22: 457–467, 2001     

Modeling the dynamics of DNA electrophoresis on a flat surface

We use molecular dynamics simulations to study the mechanism by which a flat, homogeneous surface can serve as an electrophoretic separation medium for DNA. We find that the mobility of DNA on the surface is a function of the conformation of the adsorbed DNA molecule, and that this mobility is controlled by the attraction between the DNA and the surface. Our results will provide guidelines for the fabrication of surfaces that can be used to separate DNA in a wide size range.     

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.     

Fast separation of DNA sequencing fragments in highly alkaline solutions of linear polyacrylamide using electrophoresis in bare silica capillaries

An optimized procedure for the fast separation of DNA sequencing fragments in short bare fused-silica capillaries filled with highly alkaline solutions of replaceable linear polyacrylamide is presented. High denaturing abilities of the separation media at pH values over 12 are the main reason for their applications in analyses of ssDNA fragments. Moreover, the alkaline solutions of polyacrylamide provide other advantageous properties: three times higher electrophoretic mobility of ssDNA fragments in comparison to those in urea, negligibly low electroosmotic flow in uncoated capillaries, and an adequate stability to a fast alkaline hydrolysis. The separation power of this procedure is enhanced strongly by using monocarboxy poly(ethylene glycol), a terminator for transient isotachophoresis, which eliminates the electromigration dispersion. A high separation efficiency of our system enables to reduce analysis time to several minutes by decreasing the effective lengths of capillaries to 7 cm. A special sample introduction by diffusion is successfully applied. The experimental results demonstrate a potential of the alkaline electrolytes for an implementation in diagnostic sequencing practice.     

Robust and high‐resolution simulations of nonlinear electrokinetic processes in variable cross‐section channels

We present a model and an associated numerical scheme to simulate complex electrokinetic processes in channels with nonuniform cross‐sectional area. We develop a quasi‐1D model based on local cross‐sectional area averaging of the equations describing unsteady, multispecies, electromigration‐diffusion transport. Our approach uses techniques of lubrication theory to approximate electrokinetic flows in channels with arbitrary variations in cross‐section; and we include chemical equilibrium calculations for weak electrolytes, Taylor–Aris type dispersion due of nonuniform bulk flow, and the effects of ionic strength on species mobility and on acid–base equilibrium constants. To solve the quasi‐1D governing equations, we provide a dissipative finite volume scheme that adds numerical dissipation at selective locations to ensure both unconditional stability and high accuracy. We couple the numerical scheme with a novel adaptive grid refinement algorithm that further improves the accuracy of simulations by minimizing numerical dissipation. We benchmark our numerical scheme with existing numerical schemes by simulating nonlinear electrokinetic problems, including ITP and electromigration dispersion in CZE. Simulation results show that our approach yields fast, stable, and high‐resolution solutions using an order of magnitude less grid points compared to the existing dissipative schemes. To highlight our model's capabilities, we demonstrate simulations that predict increase in detection sensitivity of ITP in converging cross‐sectional area channels. We also show that our simulations of ITP in variable cross‐sectional area channels have very good quantitative agreement with published experimental data.     

Comparison of the fragmentation behavior of DNA and LNA single strands and duplexes

DNA and locked nucleic acid (LNA) were characterized as single strands, as well as double stranded DNA‐DNA duplexes and DNA‐LNA hybrids using tandem mass spectrometry with collision‐induced dissociation. Additionally, ion mobility spectrometry was carried out on selected species. Oligonucleotide duplexes of different sequences — bearing mismatch positions and abasic sites of complementary DNA 15‐mers — were investigated to unravel general trends in their stability in the gas phase. Single‐stranded LNA oligonucleotides were also investigated with respect to their gas phase behavior and fragmentation upon collision‐induced dissociation. In contrast to the collision‐induced dissociation of DNA, almost no base loss was observed for LNAs. Here, backbone cleavages were the dominant dissociation pathways. This finding was further underlined by the need for higher activation energies. Base losses from the LNA strand were also absent in fragmentation experiments of the investigated DNA‐LNA hybrid duplexes. While DNA‐DNA duplexes dissociated easily into single stranded fragments, the high stability of DNA‐LNA hybrids resulted in predominant fragmentation of the DNA part rather than the LNA, while base losses were only observed from the DNA single strand of the hybrid.     

Arrangement, conformation, and mobility of surfactant molecules intercalated in montmorillonite prepared at different pillaring reagent concentrations as studied by solid-state NMR spectroscopy

The arrangement, conformation, and mobility of dodecyltrimethylammonium cations (DDTMA+) intercalated in montmorillonite prepared with different pillaring reagent concentrations have been studied by 13C relaxation time measurement, cross-polarization dynamics, and two-dimensional proton wide-line separation (2D WISE) spectroscopy, as well as X-ray powder diffraction (XRD). We demonstrate that the arrangement of DDTMA+ and the mobility of various groups are different, depending on the pillaring concentration, but the conformations of alkyl chains are similar. XRD experiments illustrate that at three different pillaring concentrations (DDmt0.2, DDmt0.5, and DDmt1.0), the organic cations adopt a lateral-monolayer, lateral-monolayer, and pseudotrilayer arrangement, respectively. 13C MAS NMR reveals that the alkyl chains at the three concentrations uniformly display a large amount of mixed trans and gauch conformation (disordered) and a small amount of trans conformation (ordered). 13C spin-lattice relaxation time and 1H-13C cross-polarization dynamics measurement, along with 2D WISE NMR experiments, indicate that the mobility is much different for various groups at a given concentration and for a given group at different concentrations. At each concentration N-methyl unusually possesses the highest mobility, even exceeding that of the terminal methyl; at different concentrations the N-methyl and terminal methyl in DDmt1.0 exhibit the highest mobility compared with the other two samples.     

Compensation for mobility inequalities between lanes computed from band signals in on-line fluorescence DNA sequencing.

Among on-line fluorescence DNA sequencing systems, the four-lane method exhibits the potential for reporting an erroneous sequence due to nonuniform mobility of the DNA fragments migrating among the four lanes. This error is manifest in phenomenon commonly called smiling. This paper presents a computational algorithm which compensates for the mobility inequalities between lanes using signal data obtained from the shorter DNA fragments forming the faster migrating bands. The program mainly consists of two routines: (i) calculation of calibration coefficients (mobility ratios between lanes), and (ii) examination of the coefficients by applying them to a later domain of the same signals. Both routines are connected with several feed-back branches for recalculation. Homology analysis of final sequences has shown that the accuracy rate is maximized with this algorithm and any ambiguous result can be assigned to the residual error inherent in the band identification method used.     

Optimization of DNA electrophoretic behavior in poly(vinyl pyrrolidone) sieving matrix for DNA sequencing

Poly(vinyl pyrrolidone) solution was used as a separation matrix in capillary electrophoresis for DNA sequencing. Four-label four-color detection was performed for base calling. Dye-labeled DNA showed large mobility shifts at normal conditions for DNA separation. Temporal correction of mobility shifts was achieved by normalizing with respect to pure peaks that are without spectral interference or temporal overlap at each color channel. To achieve even better performance, a DNA separation condition that does not require corrections for mobility shifts was found. Dichlororhodamine-labeled DNA fragments showed ideal electrophoretic behaviors according to DNA size in the presence of 10 M urea. The base-calling accuracy of dichlororhodamine-labeled M13mp18 and PGEM/U DNA were 99.3% for 333 bases and 99% for 315 bases, respectively. Base calling of unknown DNA samples obtained in the presence of 10 M urea showed 99.1% accuracy.     

Disposable polyester-toner electrophoresis microchips for DNA analysis

Microchip electrophoresis has become a powerful tool for DNA separation, offering all of the advantages typically associated with miniaturized techniques: high speed, high resolution, ease of automation, and great versatility for both routine and research applications. Various substrate materials have been used to produce microchips for DNA separations, including conventional (glass, silicon, and quartz) and alternative (polymers) platforms. In this study, we perform DNA separation in a simple and low-cost polyester-toner (PeT)-based electrophoresis microchip. PeT devices were fabricated by a direct-printing process using a 600 dpi-resolution laser printer. DNA separations were performed on PeT chip with channels filled with polymer solutions (0.5% m/v hydroxyethylcellulose or hydroxypropylcellulose) at electric fields ranging from 100 to 300 V cm(-1). Separation of DNA fragments between 100 and 1000 bp, with good correlation of the size of DNA fragments and mobility, was achieved in this system. Although the mobility increased with increasing electric field, separations showed the same profile regardless of the electric field. The system provided good separation efficiency (215,000 plates per m for the 500 bp fragment) and the separation was completed in 4 min for 1000 bp fragment ladder. The cost of a given chip is approximately $0.15 and it takes less than 10 minutes to prepare a single device.