Affinity capillary electrophoresis using a low-concentration additive with the consideration of relative mobilities

Most affinity studies in capillary electrophoresis assume that the analyte concentration is much smaller than the additive concentration so that the migration of the analyte has no effect on the concentration of the additive in the capillary. However, in most medium- to high-affinity interactions, the additive concentration has to be kept rather low to observe the changes in analyte mobility before saturation is reached. In this paper, a mathematical model is developed to describe the migration behavior of the analyte in a system where the complex formed becomes concentrated to levels much greater than the original concentration of the additive due to the differences in the mobilities of the analyte, additive, and complex. The analyte is flurbiprofen, the additive is transthyretin, and the stoichiometry of the reaction between the two is 1:2. This study also provides a new algorithm to determine medium- to high-affinity binding interaction constants by CE.     

Behavior of interacting species in capillary electrophoresis described by mass transfer equation

Affinity capillary electrophoresis (ACE) has been used to estimate thermodynamic constants of binding interactions with linear or nonlinear regression methods. The accuracy of this approach relies heavily on the binding interaction mechanism, which is controlled by both the nature of the interaction and the experimental conditions. The development of a highly efficient computer-simulated ACE system makes it possible to demonstrate the detailed behavior of any interacting species of a given interaction under any conditions. The order of the mobilities of the complex and the two binding species in their free forms is a key factor to determine what molecules in what locations of the column are involved in the interaction, and the peak shape resulting from such interactions, of a given ACE experiment. In this paper and the supporting materials, 18 scenarios in 6 different combinations of migration orders of the free analyte, free additive, and complex formed are studied by a computer simulation program based on the mass transfer equation. From the study of these situations, we conclude high additive concentration (ensuring high capacity factor) and low analyte concentration (ensuring fast fill-in of the free additive in the analyte plug) are crucial for obtaining accurate results when using the regression methods. On the other hand, the approach to estimate binding constants with computer simulation can be much more accurate as long as accurate and efficient simulation models can be developed, especially when the ratio of the additive and analyte concentrations is not large enough.     

Higher order equilibria and their effect on analyte migration behavior in capillary electrophoresis

This paper presents a quantitative investigation into the effect of analyte-additive interactions on analyte migration behavior in capillary electrophoresis (CE) when both 1:1 and 1:2 stoichiometries are present. Equations based on the individual capacity factors for each interaction are derived to account for the effect of both first- and second-order equilibria. The analyte migration behavior is described using these equations with a full account of how the microscopic equilibrium constants and microscopic mobilities are combined to give the macroscopic values. The binding isotherms of interactions with both 1:1 and 1:2 stoichiometries are compared with those of a 1:1 stoichiometry. 4,4'-Biphenol and 4-phenylphenol were chosen as analytes that undergo complexation with one and two hydroxypropyl-β-cyclodextrin (HP-β-CD) molecules; phenol was used as an analyte that interacts with only one HP-β-CD molecule. The process of calculating higher order equilibrium constants and complex mobilities from the binding isotherms is demonstrated. The effects of experimental conditions, such as the additive concentration range and the number of data points, on the error in the calculated constants and the ability of the equations to accurately describe the experimental data are discussed. A comparison of the linear transformations of the binding isotherm with respect to their ability to detect higher order equilibria is made, and the advantage of using the capacity factor in CE is illustrated.     

Fluorescence correlation spectroscopy for rapid multicomponent analysis in a capillary electrophoresis system

We describe a new technique for performing multicomponent analysis using a combination of capillary electrophoresis (CE) and fluorescence correlation spectroscopy (FCS), which we refer to as CE/FCS. FCS is a highly sensitive and rapid optical technique that is often used to perform multicomponent analysis in static solutions based on the different diffusion times of the analyte species through the detection region of a tightly focused laser beam. In CE/FCS, transit times are measured for a mixture of analytes continuously flowing through a microcapillary in the presence of an electric field. Application of an electric field between the inlet and outlet of the capillary alters the transit times, depending on the magnitude and polarity of the applied field and the electrophoretic mobilities of the analytes. Multicomponent analysis is accomplished without the need to perform a chemical separation, due to the different electrophoretic mobilities of the analytes. This technique is particularly applicable to ultradilute solutions of analyte. We have used CE/FCS to analyze subnanomolar aqueous solutions containing mixtures of Rhodamine 6G (R6G) and R6G-labeled deoxycytosine triphosphate nucleotides. Under these conditions, fewer than two molecules were typically present in the detection region at a time. The relative concentrations of the analytes were determined with uncertainties of ～10%. Like diffusional FCS, this technique is highly sensitive and rapid. Concentration detection limits are below 10(-)(11) M, and analysis times are tens of seconds or less. However, CE/FCS does not require the diffusion coefficients of the analytes to be significantly different and can, therefore, be applied to multicomponent analysis of systems that would be difficult or impossible to study by diffusional FCS.     

Use of electrolytes containing multiple co-anions in the analysis of anions by capillary electrophoresis using indirect absorbance detection

Background electrolytes (BGEs) containing more than one UV-absorbing probe co-anion were investigated as possible means to control peak symmetries and improve the sensitivity of indirect detection in the separation of a mixture of inorganic and organic anions having a range of electrophoretic mobilities. In initial experiments, chloride and propanoate, which do not absorb at the detection wavelength, were added individually to a BGE containing phthalate as the UV-absorbing probe co-anion. The response ratios (i.e., the detector response for an analyte obtained with the BGE containing the probe and added co-anion divided by the response of the BGE containing the probe alone) were found to be dependent on the relative mobilities of the analyte, probe, and co-anion. In general, it was found that the analyte mainly displaced the BGE component to which its mobility was closest and exclusively displaced any BGE component having the same mobility. This behavior was utilized to design BGEs containing multiple probes to improve peak shapes by matching the mobilities of the BGE components with those of the analytes. A BGE comprising chromate and phthalate as probes was used to demonstrate the improvement in peak shapes when such an approach was used. This was further extended to a BGE containing three probes, namely, chromate, phthalate, and benzoate. System peaks were observed for each multiple-component BGE and for n BGE co-anions; n - 1 system peaks were induced. A simple linear function relating the mobility of the system peak for a two-co-anion BGE to the mobilities and relative concentrations of each of the co-anions was derived empirically. Finally, a series of probes was investigated to determine the optimum multiple BGE composition giving the best peak shapes and sensitivity in the separation of a mixture of 15 analytes. The best combination was a two-probe BGE consisting of chromate and 4-hydroxybenzenesulfonic acid.     

Enantiomer separations in capillary electrophoresis in the case of equal binding constants of the enantiomers with a chiral selector: commentary on the feasibility of the concept

It is generally acknowledged that enantiomer separations in capillary electrophoresis are based on differences in the affinities of the analyte enantiomers toward the chiral selector expressed as equilibrium constants of the resulting temporary diastereomeric associates. However, as can be derived from theoretical considerations, a separation of enantiomers by CE is in principle also possible solely based on differences in the mobilities of the temporary diastereomeric complexes per se, when equal binding constants between analyte enantiomers and the chiral selector are assumed and observed.     

Anomalous radial migration of single DNA molecules in capillary electrophoresis

We report the unexpected radial migration of DNA molecules in capillary electrophoresis (CE) with applied Poiseuille flow. Such movement can contribute to anomalous migration times, peak dispersion, and size and shape selectivity in CE. When Poiseuille flow is applied from the cathode to the anode, DNA molecules move toward the center of the capillary, forming a narrow, highly concentrated zone. Conversely, when the flow is applied from the anode to the cathode, DNA molecules move toward the walls, leaving a DNA-depleted zone around the axis. We showed that the deformation and orientation of DNA molecules under Poiseuille flow was responsible for the radial migration. By analyzing the forces acting on the deformed and oriented DNA molecules, we derived an expression for the radial lift force, which explained our results very well under different conditions with Poiseuille flow only, electrophoresis only, and the combination of Poiseuille flow and electrophoresis. Factors governing the direction and velocity of radial migration were elucidated. Potential applications of this phenomenon include an alternative to sheath flow in flow cytometry, improving precision and reliability of single-molecule detection, reduction of wall adsorption, and size separation with a mechanism akin to field-flow fractionation. On the negative side, nonuniform electroosmotic flow along the capillary or microfluidic channel is common in CE, and radial migration of certain analytes cannot be neglected.     

General approach to high-efficiency simulation of affinity capillary electrophoresis

The differential equation describing electrophoretic migration can be evaluated with various finite difference schemes (FDSs). However, the accuracy and efficiency can be dramatically different depending on the FDS chosen and the way the algorithm is implemented in a computer simulation program. The monotonic transport scheme is used as the algorithm for the hyperbolic part of the differential equation, and the first-order fully explicit scheme is used for the parabolic part of the equation. The combination of these algorithms minimizes the errors and maintains high efficiency. A circular arrangement of the cells in the computer's memory is used in the implementation of the algorithms, and the use of concentration thresholds to enable and disable cells along the capillary makes the new algorithm highly efficient. Either thermodynamic or kinetic constants can be used in this program to simulate binding interactions between two species for equilibrium and nonequilibrium affinity CE. Simulation results with various parameters are presented. The simulated peak with proper parameters for an equilibrium affinity CE experiment has shape and position similar to that of the experimental peak. The simulated electropherograms for a nonequilibrium affinity CE experiment also show characteristics of the experimental electropherograms.     

Enumeration algorithm for determination of binding constants in capillary electrophoresis

With more accurate simulation models and more efficient algorithms becoming available, the binding constants of an affinity interaction can be obtained from much simpler experiments using capillary electrophoresis. With the enumeration algorithm, all possible combinations of the binding constant and the complex mobility in certain ranges that could result in the experimental migration time of an injected analyte are extracted from a 3-D surface, which depicts the migration times resulting from different values of the binding constant and the mobility of the complex formed between the interacting pair, to form a 2-D curve. When the experimental conditions are changed, the analyte migration time will also change. A new 2-D curve can be constructed from another 3-D surface on the basis of the pairs of binding constants and complex mobility values that could result in the new migration time. Because the true binding constant and complex mobility values have to be the same for both experimental conditions under the same temperature, there has to be a point where both 2-D curves will converge. The coordinates of the converging point give the values for a binding constant and a complex mobility that will fit all 2-D curves generated under certain experimental conditions. p-Nitrophenol is used as the analyte, beta-cyclodextrin is used as the additive, and a one-cell model is used to simulate affinity CE. The experimental conditions that can improve the accuracy of the binding constants are discussed.     

Determination of fexofenadine in tablets by capillary electrophoresis in free solution and in solution with cyclodextrins as analyte carriers

Capillary electrophoresis (CE) methods for the determination of fexofenadine (FEX) in commercial pharmaceuticals were developed. It was demonstrated that FEX could be effectively analyzed in free solution cationic CE at low pH. Another analytical approach studied was based on cyclodextrin (CD) modified CE where highly charged CD derivatives served as analyte carriers. In this way, the separation range was spread to physiological pH region and a CE analysis of FEX, present actually in its zwitterionic form, could be accomplished. Several parameters affecting the separations were studied, including the type and concentration of carrier ion, counterion, analyte carrier, and pH of the buffer. The methods based on the free solution CE and CD-modified CE were compared each other, validated, and applied for the determination of FEX in tablets.     

Cyclic chronopotentiometry as a detection tool for flowing solution systems

Cyclic chronopotentiometry provides a very simple detection method, which may be particularly useful in capillary electrophoresis (CE) and microseparation systems. It has been shown that for disk microelectrodes it is possible to define safe reduction and oxidation currents that would never lead to the formation of H2 or O2 gas bubbles, even if they are applied for an indefinitely long time period. During end-column CE detection, currents passing through the working microelectrode can be completely controlled by the external electronic circuit and they are not affected by the separation current. Consequently, problems created by the offset potential in CE can be completely eliminated. The detection can be accomplished through a variety of different mechanisms; however, generation of the electrode response as a result of analyte adsorption seems to be most common. The method is applicable to many analytes, which do not have to be electroactive. The analytical signal is obtained by monitoring the change in the average electrode potential (calculated for either a cathodic or an anodic half-cycle) caused by an analyte interacting with the electrode. The analytical signal is proportional to the analyte concentration, within a concentration range extending over approximately 2 orders of magnitude.     

Determination of Fexofenadine in Tablets by Capillary Electrophoresis in Free Solution and in Solution with Cyclodextrins as Analyte Carriers

ABSTRACT

Capillary electrophoresis (CE) methods for the determination of fexofenadine (FEX) in commercial pharmaceuticals were developed. It was demonstrated that FEX could be effectively analyzed in free solution cationic CE at low pH. Another analytical approach studied was based on cyclodextrin (CD) modified CE where highly charged CD derivatives served as analyte carriers. In this way, the separation range was spread to physiological pH region and a CE analysis of FEX, present actually in its zwitterionic form, could be accomplished. Several parameters affecting the separations were studied, including the type and concentration of carrier ion, counterion, analyte carrier, and pH of the buffer. The methods based on the free solution CE and CD-modified CE were compared each other, validated, and applied for the determination of FEX in tablets.     

New evidence for spatially correlated TC-LC mechanisms in thermoluminescence of LiF:Mg,Ti

New experimental investigations, consistent with the spatial coupling/perturbation between the trapping centres (TC) and luminescent centres (LC) giving rise to the peaks 5 and 4 thermoluminescence (TL) of LiF:Mg,Ti are discussed: (1) The glow peak widths of peaks 2 and 3 are constant as a function of Ti concentration, while the width of peak 4 decreases with a correlated increase in the width of peak 5. The dependence of glow peak shape on Ti concentration indicates that peaks 4 and 5 arise from a TC/LC spatially correlated extended defect. (2) The increased TL intensity of peak 5a following high ionisation density HCP irradiation compared to low ionisation density gamma irradiation strongly suggests that peak 5a arises from the geminate recombination of a locally trapped e-h pair. (3) The observation that the optical bleaching conversion efficiency (CE) of peak 5a to peak 4 is measured to be 3+/-0.5 and is three orders of magnitude greater than the CE of peak 5 to peak 4, is strong evidence for the unique structure of peak 5a--trap, i.e. peak 5a is due to a TC/LC structure which has captured an e-h pair, optical ionisation of the electron leads directly to the peak 4 TC.     

Integrative metabolomics for characterizing unknown low-abundance metabolites by capillary electrophoresis-mass spectrometry with computer simulations

Characterization of unknown low-abundance metabolites in biological samples is one the most significant challenges in metabolomic research. In this report, an integrative strategy based on capillary electrophoresis-electrospray ionization-ion trap mass spectrometry (CE-ESI-ITMS) with computer simulations is examined as a multiplexed approach for studying the selective nutrient uptake behavior of E. coli within a complex broth medium. On-line sample preconcentration with desalting by CE-ESI-ITMS was performed directly without off-line sample pretreatment in order to improve detector sensitivity over 50-fold for cationic metabolites with nanomolar detection limits. The migration behavior of charged metabolites were also modeled in CE as a qualitative tool to support MS characterization based on two fundamental analyte physicochemical properties, namely, absolute mobility (muo) and acid dissociation constant (pKa). Computer simulations using Simul 5.0 were used to better understand the dynamics of analyte electromigration, as well as aiding de novo identification of unknown nutrients. There was excellent agreement between computer-simulated and experimental electropherograms for several classes of cationic metabolites as reflected by their relative migration times with an average error of <2.0%. Our studies revealed differential uptake of specific amino acids and nucleoside nutrients associated with distinct stages of bacterial growth. Herein, we demonstrate that CE can serve as an effective preconcentrator, desalter, and separator prior to ESI-MS, while providing additional qualitative information for unambiguous identification among isobaric and isomeric metabolites. The proposed strategy is particularly relevant for characterizing unknown yet biologically relevant metabolites that are not readily synthesized or commercially available.     

Mechanistic study on analyte focusing by dynamic pH junction in capillary electrophoresis using computer simulation

Dynamic pH junction is an on-line preconcentration method in capillary electrophoresis (CE) based on electrokinetic focusing of weakly ionic analytes with in large sample volumes in a multisection electrolyte system. In this report, experiments and computer simulations were performed to gain a better insight of the analyte focusing mechanism when a dynamic pH junction was used. A computer program, SIMUL, was used to simulate the band-narrowing process of a group for phenol derivatives under optimized buffer conditions, which were compared with experimental results. Computer simulations revealed the formation of a sharp moving pH boundary within the sample zone causing efficient focusing of long plugs of weakly acidic analytes based on their pKa. These studies offered useful information for understanding the band-narrowing process by control of the depth and lifetime of the moving pH boundary as a function of analyte pKa, sample pH, and injection length. The change in pH of the sample within the capillary was also estimated by measuring the absorbances of an analyte at two different wave-lengths. Optimization of analyte focusing resulted in enhanced detection responses of about 60-450-fold in terms of peak heights for some phenol derivatives' relation to conventional injections. Dynamic pH junction represents a novel approach to control band dispersion (peak width) and selectivity (mobility) of specific analytes for high-resolution CE separations.     

Programmed potential sweep voltammetry for lower detection limits

We report a novel programmed potential sweep voltammetry for a much lower detection limit than those achieved by any other known electroanalyitcal techniques. In this technique, an input waveform is programmed such that the background current would become flat or any other predefined form in the potential region of interest where the peak current arising from the analyte is observed, followed by the amplification of the background subtracted peak current. The current thus obtained showed a much better signal integrity at very low analyte concentrations than those obtained by the traditional linear sweep voltammetric and other related voltammetric techniques. The technique was applied to the analysis of dopamine at a carbon ultramicroelectrode (10-microm diameter). The background-compensated currents showed excellent dynamic linearity for dopamine concentrations of more than 3 orders of magnitudes between 500 pM and 100 nM with an estimated detection limit of 127 pM. This method can provide a convenient way for determining biogenic amines in real time with a much higher sensitivity.     

Chromatographic preconcentration coupled to capillary electrophoresis via an in-line injection valve

A preconcentration-capillary electrophoresis (CE) system using a small precolumn in combination with an in-line injection valve is presented. The advantage of the present design is the ability to perform the sample preconcentration fully independently from the CE separation and to prevent sample matrix and washing solvents from entering the CE capillary. With a micro injection valve, sample could be effectively introduced into the CE system in an in-line fashion without seriously affecting the CE separation efficiency. Breakthrough volume, desorption efficiency, and elution volume for the C18 microcolumn (5 x 0.5 mm i.d.) were established, yielding values of 750 microL, 70%, and 0.9-1.1 microL, respectively, using enkephalin peptides. The time between the start of the desorption of the analytes from the precolumn and the injection into the CE system was also studied in order to achieve optimal sensitivity and separation efficiency. The performance of the complete system was demonstrated by the preconcentration and separation of an enkephalin mixture. Using a sample volume of 250 microL and a CE injection voltage of -15 kV for 12 s, linearity was observed over 2 orders of magnitude, and detection limits (S/N = 3) were in the 5-10 ng/mL range. A 1000-fold sensitivity enhancement is obtained using this setup, as compared to a regular CE setup. For 100 ng/mL samples, repeatabilities (RSDs) of migration time and peak area were 1.2 and 11%, respectively.     

High-throughput single-molecule DNA screening based on electrophoresis

In electrophoresis, the migration velocity is used for sizing DNA and proteins or for distinguishing molecules based on charge and hydrodynamic radius. Many protein and DNA assays relevant to disease diagnosis are based on such separations. However, standard protocols are not only slow (minutes to hours) but also insensitive (many molecules in a detectable band). We successfully demonstrated a high-throughput imaging approach that allows determination of the individual electrophoretic mobilities of many molecules at a time. Each measurement only requires a few milliseconds to complete. This opens up the possibility of screening single copies of DNA or proteins within single biological cells for disease markers without performing polymerase chain reaction or other biological amplification. The purpose is not to separate the DNA molecules but to identify each one on the basis of the measured electrophoretic mobility. We developed three different procedures to measure the individual molecular mobilities. The results correlate well with capillary electrophoresis (CE) experiments for the same samples (2-49 kb dsDNA) under identical separation conditions. The implication is that any electrophoresis protocols from slab gels to CE should be adaptable to single-molecule screening for disease diagnosis.     

Counting single chromophore molecules for ultrasensitive analysis and separations on microchip devices

Separations of 15 pM rhodamine 6G and 30 pM rhodamine B performed in a micromachined electrophoresis channel were detected by counting fluorescence bursts from individual molecules. The migration times, peak widths, and analyte concentrations were estimated from the number and the migration time distribution of the detected molecules. Concentration detection limits estimated at >99% confidence were 1.7 pM rhodamine 6G and 8.5 pM rhodamine B. The separations required <35 s and the relative migration time uncertainties were less than 2.0%. These are the lowest detection limits reported for microchip separation devices and the first example of single-chromophore molecular counting for detection of chemical separations.     

Another approach toward over 100,000-fold sensitivity increase in capillary electrophoresis: electrokinetic supercharging with optimized sample injection

Electrokinetic supercharging (EKS) is a powerful and practical method for multifold in-line concentration of various analytes prior to capillary electrophoresis (CE) analysis. However, a problem of insufficient sensitivity has always existed when trace analyte quantification by EKS-CE is a target, especially when coupled with conventional detectors. Normally this requires a greatly increased amount of analyte injected without separation degradation. In this contribution, we have shown that it is possible to substantially improve analyte loading and hence CE method detectability by modifying sample introduction configuration. The volume of sample vial was increased (from typical 500 μL to 17 mL), the common wire electrode was replaced by a ring electrode, and the sample solution was stirred. With these alterations, more analyte ions are accumulated within the effective electric field during electrokinetic injection and then maintained as focused zones due to transient isotachophoresis. The versatility of the customized EKS-CE approach for sample concentration was demonstrated for a mixture of seven rare-earth metal ions with an enrichment factor of 500?000 giving detection limits at or below 1 ng/L. These detection limits are over 100?000 times better than can be achieved by normal hydrodynamic injection, 1000 times better than the sensitivity thresholds of inductively coupled plasma atomic emission spectrometry (ICP-AES), and even close to those of inductively coupled plasma mass spectrometry (ICPMS).