Performance optimization in electric field gradient focusing

Electric field gradient focusing (EFGF) is a technique used to simultaneously separate and concentrate biomacromolecules, such as proteins, based on the opposing forces of an electric field gradient and a hydrodynamic flow. Recently, we reported EFGF devices fabricated completely from copolymers functionalized with poly(ethylene glycol), which display excellent resistance to protein adsorption. However, the previous devices did not provide the predicted linear electric field gradient and stable current. To improve performance, Tris–HCl buffer that was previously doped in the hydrogel was replaced with a phosphate buffer containing a salt (i.e., potassium chloride, KCl) with high mobility ions. The new devices exhibited stable current, good reproducibility, and a linear electric field distribution in agreement with the shaped gradient region design due to improved ion transport in the hydrogel. The field gradient was calculated based on theory to be approximately 5.76 V/cm² for R-phycoerythrin when the applied voltage was 500 V. The effect of EFGF separation channel dimensions was also investigated; a narrower focused band was achieved in a smaller diameter channel. The relationship between the bandwidth and channel diameter is consistent with theory. Three model proteins were resolved in an EFGF channel of this design. The improved device demonstrated 14,000-fold concentration of a protein sample (from 2 ng/mL to 27 μg/mL).     

Micellar affinity gradient focusing in a microfluidic chip with integrated bilinear temperature gradients

Micellar affinity gradient focusing (MAGF) is a microfluidic counterflow gradient focusing technique that combines the favorable features of MEKC and temperature gradient focusing. MAGF separates analytes on the basis of a combination of electrophoretic mobility and partitioning with the micellar phase. A temperature gradient is produced along the separation channel containing an analyte/micellar system to create a gradient in interaction strength (retention factor) between the analytes and micelles. Combined with a bulk counterflow, species concentrate at a unique point where their total velocity sums to zero. MAGF can be used in scanning mode by varying the bulk flow so that a large number of analytes can be sequentially focused and passed by a single detection point. In this work, we develop a bilinear temperature gradient along the separation channel that improves separation performance over the conventional linear designs. The temperature profile along the channel consists of a very sharp gradient used to preconcentrate the sample followed by a shallow gradient that increases resolution. We fabricated a hybrid PDMS/glass microfluidic chip with integrated micro heaters that generate the bilinear profile. Performance is characterized by separating several different samples including fluorescent dyes using SDS surfactant and pI markers using both SDS and poly-SUS surfactants as the micellar phase. The new design shows a nearly two times improvement in peak capacity and resolution in comparison to the standard linear temperature gradient.     

Influence of varying electroosmotic flow on the effective diffusion in electric field gradient separations

Recently the use electric field gradient focusing (EFGF) to enhance focusing of proteins has been proposed and explored to provide significant improvement in separation resolution. The objective of EFGF is to focus proteins of specific electrophoretic mobilities at distinct stationary locations in a column or channel. This can be accomplished in a capillary by allowing the electric potential to vary in the streamwise direction. Because the electric field is varying, so also is the electrokinetic force exerted on the proteins and the electroosmotic velocity of the buffer solution. Due to the varying electric field, the Taylor diffusion characteristics will also vary along the column, causing a degradation of peak widths of some proteins, dependent on their equilibrium positions and local velocity distributions. The focus of this paper is an analysis that allows characterization of the local Taylor diffusion and resulting protein band peak width as a function of the local magnitude of the EOF relative to the average fluid velocity for both cylindrical and rectangular channels. In general the analysis shows that as the ratio of the local electroosmotic velocity to the average velocity deviates from unity, the effective diffusion increases significantly. The effectiveness of EFGF devices over a range of protein diffusivities, capillary diameters, flow velocities, and electric field gradient is discussed.     

Influence of transport properties in electric field gradient focusing

Miniaturized devices for electric field gradient focusing (EFGF) were developed that consist of a cylindrical separation channel surrounded by an acrylic-based polymer hydrogel. The ionic transport properties of the hydrogel enable the manipulation of the electric field inside the separation channel. A changing cross-section design was used in which the hydrogel is shaped such that an electric field gradient is established in the separation channel. One of the challenges with this type of EFGF device has been that experimental resolution between protein analytes is lower than theoretically predicted. In order to investigate this phenomenon, a mathematical transport model was developed using FEMLAB. Model results and experimental observations showed that the reduced performance was caused by concentration gradients formed in the EFGF channel, and that these concentration gradients were the result of an imbalance in cation transport between the open separation channel and the hydrogel. Removing acidic impurities from the monomers that form the hydrogel reduced this tendency and improved the resolution. These transport-induced concentration gradients can be used to establish electric field gradients that may be useful for sample pre-concentration. Both the results of simulation and experiments demonstrate how transport-induced concentration gradients lead to the establishment of electric field gradients.     

Electric field gradient focusing

Electric field gradient focusing (EFGF) is a relatively new separation technique with promising attributes, particularly for protein analysis. The fundamental fractionation mechanism in EFGF involves a gradient in electric field along the length of a separation column. The electrophoretic force that drives charged analytes in a region of changing electric field is opposed by a constant, pressure-driven bulk fluid flow. When the electrophoretic velocity of a particular moiety is equal and opposite to the velocity of the fluid flow, the analyte focuses into a stationary band. Thus, EFGF can both concentrate and separate charged species according to electrophoretic mobility. To date, the electric field gradients needed for EFGF have been established using a number of different approaches, including channels having changing cross-sectional areas, conductivity gradients caused by the diffusion of buffer ions across a membrane, electrode arrays, and temperature gradients in buffers whose conductivities change as a function of temperature. EFGF has proven particularly effective for sample enrichment, with concentration factors of 10,000 reported. In this article we review advances in EFGF technology and discuss prospects for further improving EFGF for chemical analysis.     

Programed elution and peak profiles in electric field gradient focusing

Electric field gradient focusing (EFGF) methods have received increased attention in recent years, with potential applications demonstrated by several research groups. In order to move EFGF from the research stage to routine use in application areas, a more detailed understanding of practical aspects of device performance is required. Useful theoretical models for EFGF are available but have not been verified through systematic checks under a variety of conditions. In this paper, we compare modeled and experimental results for an EFGF device with the goal of optimizing the time sequence of voltages applied to the device for maximum resolution of analytes with close electrophoretic mobilities. Measured peak profiles depend strongly on the sequence of voltages applied to the device. We investigate the characteristic behavior of the elution profile under various voltage programs. Rapid voltage drops lead to fast elution of closely spaced protein peaks with narrow widths, whereas a carefully designed voltage program can be used to increase the separation between analytes and achieve higher resolution. Simulated and experimental results demonstrate that the behavior of analyte diffusion at an electric field singularity associated with the transition from the EFGF device to elution capillary can be used to separate analyte peaks which may not be resolved within the EFGF device itself, thereby increasing the achievable resolution of the EFGF technique.     

Rapid concentration of deoxyribonucleic acid via Joule heating induced temperature gradient focusing in poly-dimethylsiloxane microfluidic channel

This paper reports rapid microfluidic electrokinetic concentration of deoxyribonucleic acid (DNA) with the Joule heating induced temperature gradient focusing (TGF) by using our proposed combined AC and DC electric field technique. A peak of 480-fold concentration enhancement of DNA sample is achieved within 40 s in a simple poly-dimethylsiloxane (PDMS) microfluidic channel of a sudden expansion in cross-section. Compared to a sole DC field, the introduction of an AC field can reduce DC field induced back-pressure and produce sufficient Joule heating effects, resulting in higher concentration enhancement. Within such microfluidic channel structure, negative charged DNA analytes can be concentrated at a location where the DNA electrophoretic motion is balanced with the bulk flow driven by DC electroosmosis under an appropriate temperature gradient field. A numerical model accounting for a combined AC and DC field and back-pressure driven flow effects is developed to describe the complex Joule heating induced TGF processes. The experimental observation of DNA concentration phenomena can be explained by the numerical model.     

Voltage-Controlled Electric Field Gradient Focusing with Online UV Detection for Analysis of Proteins

Electric field gradient focusing (EFGF) uses a hydrodynamic flow and an electric field gradient to focus proteins in order of electrophoretic mobility. In this paper, we describe several bioanalytical applications using voltage-controlled hollow dialysis fiber-based EFGF with online UV detection. Using bovine serum albumin (BSA) as a model protein, a concentration factor as high as 15,000 and a concentration limit of detection as low as 30 pM were achieved. We also demonstrate the potential of using fiber-based EFGF for protein quantitative analysis. Simultaneous desalting and protein concentration were performed by mixing BSA with 2 M NaCl in a cell culture medium. Online concentration of ferritin and simultaneous removal of albumin from a sample matrix were performed using this EFGF system.     

Analytical equilibrium gradient methods

Analytical equilibrium gradient methods are non-linear separation methods in which the separation mechanism involves a force gradient along the separation channel. These methods can be classified into two categories: those in which the gradient is a field gradient applied along the separation channel (i.e., field gradient), and those in which the channel is subjected to a constant field with a gradient formed in some other property (i.e., constant field). Standard deviation of peak width, resolution and peak capacity are important parameters in characterizing equilibrium gradient methods, and general expressions can be obtained from considering both the point of force acting on the analyte and the basic flux equation. Several successful examples, such as density gradient sedimentation, isoelectric focusing and electromobility focusing are discussed. Based on equilibrium gradient methods in the field gradient category, a method to dynamically improve peak capacity is described. An example of such an approach is given using electromobility focusing.     

Counterflow gradient electrophoresis for focusing and elution

Counterflow gradient electrofocusing uses the bulk flow of a liquid solution to counterbalance the electrophoretic migration of an analyte. When either the bulk velocity or the electrophoretic velocity of the analyte is made to vary across the length of the channel, there exists a unique zero‐velocity point for the analyte. This focusing method enables simultaneous separation and concentration of different analytes. The high resolution and sensitivity achieved are similar to that of isoelectric focusing, which separates analytes based on their isoelectric points, but the key difference is that analytes will instead focus based on their electrophoretic mobility. Dynamically changing the applied voltage or the counterflow rate over time will shift the zero‐velocity point, and therefore allows the focused analytes to pass through a fixed detection point, or elute from the separation channel. Throughout the review, a number of different counterflow gradient techniques will be discussed, along with their recent advancements and potential applications.     

Characterization of voltage degradation in dynamic field gradient focusing

Dynamic field gradient focusing (DFGF) is an equilibrium gradient method that utilizes an electric field gradient to simultaneously separate and concentrate charged analytes based on their individual electrophoretic mobilities. This work describes the use of a 2-D nonlinear, numerical simulation to examine the impact of voltage loss from the electrodes to the separation channel, termed voltage degradation, and distortions in the electric field on the performance of DFGF. One of the design parameters that has a large impact on the degree of voltage degradation is the placement of the electrodes in relation to the separation channel. The simulation shows that a distance of about 3 mm from the electrodes to the separation channel gives the electric field profile with least amount of voltage degradation. The simulation was also used to describe the elution of focused protein peaks. The simulation shows that elution under constant electric field gradient gives better performance than elution through shallowing of the electric field. Qualitative agreement between the numerical simulation and experimental results is shown. The simulation also illustrates that the presence of a defocusing region at the cathodic end of the separation channel causes peak dispersion during elution. The numerical model is then used to design a system that does not suffer from a defocusing region. Peaks eluted under this design experienced no band broadening in our simulations. Preliminary experimental results using the redesigned chamber are shown.     

Field gradient electrophoresis

The class of equilibrium gradient methods utilizes the opposition of two forces, at least one of which changes in magnitude with position, to separate and concentrate analytes. The drawback of many methods of this type is that the production of two opposing forces requires in comparison to standard methods, such as capillary electrophoresis, a relatively complex apparatus. In addition, for techniques such as electric field gradient focusing, hydrodynamic flow leads to Taylor dispersion, which limits the attainable concentration factor. We propose a new method, gradient field electrophoresis, which achieves analyte separation and focusing with only one spatially varying force, an electric field gradient. A model for the method is developed and used to analyze peak capacity. Experimental results for a protein (R-phycoerythrin) are given and compared to the model.     

Signal enhancement by on-column fluorimetric detection in gradient elution of dansyl amino acids in liquid chromatography

Summary Fluorimetric detection in the presence of a stationary phase has been applied to gradient elution of dansyl amino acids in liquid chromatography. A 1.5 mm ID quartz tube packed with the same materials as the separation column was employed for the flow cell. Conventional-size columns were employed. The peak height of analytes increased with increasing retention owing to focusing and environmental effects of the stationary phase, leading to improvements in sensitivity, which was pronounced for analytes eluting late. The lower the gradient, the larger the improvement in sensitivity achieved. Detection limits were improved by a factor of up to 5.1 by fluorimetric detection using the packed flow cell, compared with those achieved using a common empty flow cell.     

Tandem electric field gradient focusing system for isolation and concentration of target proteins

Two electric field gradient focusing (EFGF) systems, one based on a hollow dialysis fiber and the other based on a shaped ionically conductive polymer were serially integrated to trap and concentrate selected proteins while simultaneously desalting and removing other unwanted proteins from the sample. A series of experiments were performed to test the EFGF systems individually and after integration. Online concentration of amyloglucosidase indicated a concentration limit of detection of approximately 20 ng mL(-1) (200 pM) from a sample volume of 100 microL. Concentration of human alpha1-acid glycoprotein with simultaneous removal of human serum albumin was also demonstrated. Elimination of small buffer components while concentrating trypsin inhibitor, and selective concentration and separation of myoglobin from a mixture were performed using the integrated EFGF system.     

Investigation of the pH gradient formation and cathodic drift in microchip isoelectric focusing with imaged UV detection

This paper reports the protein analysis by using microchip IEF carried on an automated chip system. We herein focused on two important topics of microchip IEF, the pH gradient and cathodic drift. The computer simulation clarified that the EOF could delay the establishment of pH gradient and move the carrier ampholytes (CAs) to cathode, which probably caused a cathodic drift to happen. After focusing, the peak positions of components in a calibration kit with broad pI were plotted against their pI values to know the actual pH gradient in a microchannel varying time. It was found that the formed pH gradient was stable, not decayed after readily steady state, and migrated to cathode at a rate of 10.0 μm/s that determined by the experimental conditions such as chip material, internal surface coating and field strength. The theoretical pH gradient was parallel with the actual pH gradient, which was demonstrated in two types of microchip with different channel lengths. No compression of pH gradient was observed when 2% w/v hydroxypropyl methyl cellulose was added in sample and electrolytes. The effect of CAs concentration on current and cathodic drift was also explored. With the current automatic chip system, the calculated peak capacity was 23–48, and the minimal pI difference was 0.20–0.42 for the used single channel microchip with the effective length of 40.5 mm. The LOD for the analysis of CA‐I and CA‐II was around 0.32 μg/mL by using normal imaged UV detection, the detected amount is ca. 0.07 ng.     

Peak capacity in gradient reversed-phase liquid chromatography of biopolymers. Theoretical and practical implications for the separation of oligonucleotides

Reversed-phase ultra-performance liquid chromatography was used for biopolymer separations in isocratic and gradient mode. The gradient elution mode was employed to estimate the optimal mobile phase flow rate to obtain the best column efficiency and the peak capacity for three classes of analytes: peptides, oligonucleotides and proteins. The results indicate that the flow rate of the Van Deemter optimum for 2.1 mm I.D. columns packed with a porous 1.7 microm C18 sorbent is below 0.2 mL/min for our analytes. However, the maximum peak capacity is achieved at flow rates between 0.15 and 1.0 mL/min, depending on the molecular weight of the analyte. The isocratic separation mode was utilized to measure the dependence of the retention factor on the mobile phase composition. Constants derived from isocratic experiments were utilized in a mathematical model based on gradient theory. Column peak capacity was predicted as a function of flow rate, gradient slope and column length. Predicted peak capacity trends were compared to experimental results.     

Signal enhancement by on-column fluorimetric detection in gradient elution of dansyl amino acids in liquid chromatography

Summary Fluorimetric detection in the presence of a stationary phase has been applied to gradient elution of dansyl amino acids in liquid chromatography. A 1.5 mm ID quartz tube packed with the same materials as the separation column was employed for the flow cell. Conventional-size columns were employed. The peak height of analytes increased with increasing retention owing to focusing and environmental effects of the stationary phase, leading to improvements in sensitivity, which was pronounced for analytes eluting late. The lower the gradient, the larger the improvement in sensitivity achieved. Detection limits were improved by a factor of up to 5.1 by fluorimetric detection using the packed flow cell, compared with those achieved using a common empty flow cell.     

Taylor-Aris dispersion in temperature gradient focusing

Microfluidic temperature gradient focusing (TGF) uses an axial temperature gradient to induce a gradient in electrophoretic flux within a microchannel. When balanced with an opposing fluid flow, charged analytes simultaneously focus and separate according to their electrophoretic mobilities. We present a theoretical and experimental study of dispersion in TGF. We model the system using generalized dispersion analysis that yields a 1-D convection-diffusion equation that contains dispersion terms particular to TGF. We consider analytical solutions for the model under uniform temperature gradient conditions. Using a custom TGF experimental setup, we compare focusing measurements with the theoretical predictions. We find that the theory well represents the focusing behavior for flows within the Taylor-Aris dispersion regime.     

Bipolar electrode focusing: tuning the electric field gradient

Bipolar electrode (BPE) focusing is a developing technique for enrichment and separation of charged analytes in a microfluidic channel. The technique employs a bipolar electrode that initiates faradaic processes that subsequently lead to formation of an ion depletion zone. The electric field gradient resulting from this depletion zone focuses ions on the basis of their individual electrophoretic mobilities. The nature of the gradient is of primary importance to the performance of the technique. Here, we report dynamic measurements of the electric field gradient showing that it is stable over time and that its axial position in the microchannel is directly correlated to the location of an enriched tracer band. The position of the gradient can be tuned with pressure-driven flow. We also show that a steeper electric field gradient decreases the breadth of the enriched tracer band and therefore enhances the enrichment process. The slope of the gradient can be tuned by altering the buffer concentration: higher concentrations result in a steeper gradient. Coating the channel with the neutral block co-polymer Pluronic also results in enhanced enrichment.     

Protein separation using preparative-scale dynamic field gradient focusing

Dynamic field gradient focusing uses an electric field gradient to separate and concentrate proteins in native buffers. A prototype preparative-scale dynamic field gradient focusing apparatus reproducibly separated hemoglobin and bovine serum albumin with a mean resolution of 2.64+/-0.503. Run-to-run variations in the hemoglobin's focal point and peak width appeared to be related to fluctuations in the shape of the electric field, rather than the 5% accuracy of the pump that provided the counter-flow in the separation annulus. The variation in the electric field gradient was probably due to the formation and expansion of an ion-depleted region at the top of the separation annulus.