Theory of stepwise gradient elution in reversed-phase liquid chromatography coupled with flow rate variations: application to retention prediction and separation optimization of a set of amino acids

The coupling of stepwise mobile phase gradient elution and flow programming is proposed as an integrated approach to the general elution problem in reversed-phase liquid chromatography. A model is developed to describe the above separation process performed under simultaneous programming of two separation parameters by extending our previous work on the rigorous derivation of the fundamental equation governing the concentration gradient of organic modifier in the mobile phase, that is, a single gradient elution mode (Anal. Chem. 2005, 77, 5670-5677). The theory was tested in the retention prediction and separation optimization of 18 o-phthalaldehyde derivatives of amino acids in eluting systems modified by acetonitrile or methanol. The retention prediction obtained for all solutes under all dual-mode gradient conditions was excellent. In addition, it has been shown that the combination of mobile phase and flow rate programming modes is particularly favorable, whereas the separations among the analytes were considerably improved by using the acetonitrile eluting system, as compared to those obtained by the methanol system.     

Single amino acid contributions to protein retention in cation-exchange chromatography: resolution of genetically engineered subtilisin variants

Genetically engineered proteins were used to determine the amino acid contributions of surface residues to subtilisin retention in cation-exchange chromatography. Crystallographic data were used to correlate the observed chromatographic behavior with enzymatic structure. Retention times of variants in gradient elution varied by as much as 33% compared to the wild type. The role of both charged and uncharged residues was investigated in isocratic separations and found to significantly influence protein retention in this electrostatically dominant separation method. This study demonstrates the ability of ion-exchange chromatography to discriminate between protein variants differing by a single residue in 275 amino acids.     

Prediction of analyte retention for ion chromatography separations performed using elution profiles comprising multiple isocratic and gradient steps

This study addresses the simulation of ion chromatographic (IC) separations performed under conditions where the elution profile consists of a sequence of isocratic and gradient elution steps (referred to as "complex elution profiles"). First, models for prediction of retention under gradient elution conditions in IC were evaluated using an extensive database of gradient elution retention data. It is shown that one such model is preferred on the basis that it can be used to predict gradient retention times on the basis of isocratic input data. A method is then proposed for using this model for complex elution profiles whereby each step of the elution profile is treated separately and analyte movement through the column is mapped. An empirically based algorithm for predicting peak width under complex elution conditions is also proposed. Evaluation of the suggested approaches was undertaken on a set of 24 analyte anions and 13 analyte cations on 5 different Dionex columns using a range of 5-step complex elution profiles that gave R2 values for correlations between predicted and observed retention times of 0.987 for anions and 0.997 for cations. The simulation of separations of anions and cations using a 3-step complex elution profile is demonstrated, with good correlation between observed and predicted chromatograms. The proposed approach is useful for the rapid development of separations when complex elution profiles are used in IC.     

Gradient elution moving boundary electrophoresis for high-throughput multiplexed microfluidic devices

A novel method for performing electrophoretic separations is described-gradient elution moving boundary electrophoresis (GEMBE). The technique utilizes the electrophoretic migration of chemical species in combination with variable hydrodynamic bulk counterflow of the solution through a separation capillary or microfluidic channel. Continuous sample introduction is used, eliminating the need for a sample injection mechanism. Only analytes with an electrophoretic velocity greater than the counterflow velocity enter the separation channel. The counterflow velocity is varied over time so that each analyte is brought into the separation column at different times, allowing for high-resolution separations in very short channels. The new variable of bulk flow acceleration affords a new selectivity parameter to electrophoresis analogous to gradient elution compositions in chromatography. Because it does not require extra channels or access ports to form an injection zone and because separations can be performed in very short channels, GEMBE separations can be implemented in much smaller areas on a micro-fluidic chip as compared to conventional capillary electrophoresis. Demonstrations of GEMBE separations of small dye molecules, amino acids, DNA, and immunoassay products are presented. A low-cost, polymeric, eight-channel multiplexed microfluidic device was fabricated to demonstrate the reduced area requirements of GEMBE; the device was less than 1 in.2 in area and required only n + 1 fluidic access ports per n analyses (in this instance, nine ports for eight analyses). Parallel separations of fluorescein and carboxyfluorescein yielded less than 3% relative standard deviation (RSD) in interchannel migration times and less than 5% RSD in both peak and height measurements. The device was also used to generate a calibration curve for a homogeneous insulin immunoassay using each of the eight channels as a calibration point with less than 5% RSD at each point with replicate analyses.     

pH gradient reversed-phase HPLC

pH gradient HPLC is reported, which is a new original mode of reversed-phase high-performance liquid chromatography applicable to ionogenic analytes. The method consists of programmed increase during the chromatographic run of the eluting strength of the mobile phase with respect to the acid/base analytes separated. Unlike the well-established conventional gradient HPLC, where the eluting power of the mobile phase is increased with time due to the increasing content of organic modifier, in the pH gradient HPLC that is realized by linearly increasing (in the case of acids) or decreasing (in the case of bases) the pH of the eluent of a fixed organic modifier content, thus providing functional increase in the degree of analyte dissociation and, hence, a decrease in its retention. The pH gradient mode has typical features of gradient HPLC, such as reduced peak width and minimized peak-tailing due to peak compression, which is especially advantageous in the case of organic base analytes. It may be of special value for separation of those analytes which are susceptible to the higher concentrations of organic solvents, as many bioanalytes are. A theory of the pH gradient HPLC has been elaborated, and its full mathematical formalistic is presented step by step in a comprehensive manner. Although fundamental relationships at the basis of pH gradient HPLC are more complex than in the case of the organic gradient variant, the resulting mathematical model is easily manageable. Its applicability to predict changes in retention and separation of test mixtures of analytes accompanying the changes in chromatographic conditions has been demonstrated experimentally in both gradient and isocratic HPLC. The proposed model supplies a rational basis for modifications of eluent pH aimed at optimization of separations and for convenient assessment of chromatographically relevant physicochemical parameters of analytes, such as pK(a).     

Combination of column temperature gradient and mobile phase flow gradient in microcolumn and capillary column high-performance liquid chromatography

The combination of several gradient modes (solvent, temperature, and flow programming) is rarely used in HPLC analysis. In this work, the separations obtained utilizing simultaneous flow and temperature gradient in capillary column and microcolumn HPLC were compared with the separations performed under isocratic, isothermal, and isorheic (constant flow) conditions. When the mobile phase flow rate and the column temperature were changed simultaneously during the separation run, the analysis time was shortened up to 50%, while the separation efficiency was preserved. The separations obtained with combined temperature and flow gradients show high reproducibility (relative standard deviation <2.0%), comparable to the reproducibility normally seen with a mobile phase gradient. For capillary HPLC, simultaneous temperature and flow programming is the method of choice because of the great technical difficulties involved in performing solvent gradient elution.     

Porous polymer monoliths functionalized through copolymerization of a C60 fullerene-containing methacrylate monomer for highly efficient separations of small molecules

Monolithic poly(glycidyl methacrylate-co-ethylene dimethacrylate) and poly(butyl methacrylate-co-ethylene dimethacrylate) capillary columns, which incorporate the new monomer [6,6]-phenyl-C(61)-butyric acid 2-hydroxyethyl methacrylate ester, have been prepared and their chromatographic performance have been tested for the separation of small molecules in the reversed phase. While addition of the C60-fullerene monomer to the glycidyl methacrylate-based monolith enhanced column efficiency 18-fold, to 85,000 plates/m at a linear velocity of 0.46 mm/s and a retention factor of 2.6, when compared to the parent monolith, the use of butyl methacrylate together with the carbon nanostructured monomer afforded monolithic columns with an efficiency for benzene exceeding 110,000 plates/m at a linear velocity of 0.32 mm/s and a retention factor of 4.2. This high efficiency is unprecedented for separations using porous polymer monoliths operating in an isocratic mode. Optimization of the chromatographic parameters affords near baseline separation of 6 alkylbenzenes in 3 min with an efficiency of 64,000 plates/m. The presence of 1 wt % or more of water in the polymerization mixture has a large effect on both the formation and reproducibility of the monoliths. Other factors such as nitrogen exposure, polymerization conditions, capillary filling method, and sonication parameters were all found to be important in producing highly efficient and reproducible monoliths.     

Simultaneous concentration and separation of enantiomers with chiral temperature gradient focusing

A new technique is demonstrated for the simultaneous concentration and high-resolution separation of chiral compounds. With temperature gradient focusing, a combination of a temperature gradient, an applied electric field, and a buffer with a temperature-dependent ionic strength is used to cause analytes to move to equilibrium, zero-velocity points along a microchannel or capillary. Different analytes are thus separated spatially and concentrated in a manner that resembles isoelectric focusing but that is applicable to a greater variety of analytes including small chiral drug molecules. Chiral separations are accomplished by the addition of a chiral selector, which causes the different enantiomers of an analyte to focus at different positions along a microchannel or capillary. This new technique is demonstrated to provide high performance in a number of areas desirable for chiral separations including rapid separation optimization and method development, facile reversal of peak order (desirable for analysis of trace enantiomeric impurities), and high resolving power (comparable to capillary electrophoresis) in combination with greater than 1000-fold concentration enhancement enabling improved detection limits. In addition, chiral temperature gradient focusing allows for real-time monitoring of the interaction of chiral analyte molecules with chiral selectors that could potentially be applied to the study of other molecular interactions. Finally, unlike CE, which requires long channels or capillaries for high-resolution separations, separations of equivalent resolution can be performed with TGF in very short microchannels (mm); thus, TGF is inherently much more suited to miniaturization and integration into lab-on-a-chip-devices.     

Simultaneous concentration and separation of coumarins using a molecular micelle in micellar affinity gradient focusing

We report the use of a molecular micelle for the simultaneous separation and concentration of neutral and hydrophobic analytes using micellar affinity gradient focusing (MAGF). The technique, MAGF, combines the favorable features of micellar electrokinetic chromatography and temperature gradient focusing. The focusing of neutral coumarin analytes was accomplished by the use the molecular micelle, poly(sodium undecenyl sulfate) (poly-SUS). Concentration enhancements of 10-25-fold/min were achieved for focusing of the coumarin dyes. The effect of varying the temperature gradient on the resolution of two of the coumarin dyes was also investigated, demonstrating that improved resolution could be achieved by reducing the steepness of the temperature gradient. In addition, with scanning-mode MAGF (in which the peaks are sequentially scanned past a fixed detection point by varying the buffer counterflow velocity), the use of poly-SUS was shown to produce repeatable and quantitative analyte peaks, making quantitative separations possible with the MAGF technique. Finally, it was shown that peak areas could be increased in scanning MAGF by reducing the scan rate so that the sensitivity of the method can be adjusted as needed.     

Capillary electrophoresis of supercoiled DNA molecules: parameters governing the resolution of topoisomers and their separation from open forms

We describe the separation of covalently closed and open circular DNA forms with capillary electrophoresis. This technique is expected to be applied in the research of novel anticancer molecules targeting the activity of topoisomerase I. The separation of a plasmid mixture containing fully supercoiled molecules, single topoisomers, and their relaxed and open circular forms was tested in an electric field of 200 V/cm using Tris/borate buffer with the addition of magnesium ions at low concentrations and various sieving polymers. The resulting separation is quite simple to achieve and is clearly comparable to that obtained in agarose gels run at low voltage, but with an improved resolution, a higher quantitativity, and a higher speed of analysis. We identified three main parameters that influence the separation: (I) Low concentrations of MgCl2 in the separation buffer are required for a good resolution of topoisomers. (II) Cellulose derivatives can be used as sieving polymers; in our hands, HPMC and HEC worked best. (III) High molecular mass forms of sieving polymers allow the best separations.     

Integration of pillar array columns into a gradient elution system for pressure-driven liquid chromatography

A gradient elution system for pressure-driven liquid chromatography (LC) on a chip was developed for carrying out faster and more efficient chemical analyses. Through computational fluid dynamics simulations and an experimental study, we found that the use of a cross-Tesla structure with a 3 mm mixing length was effective for mixing two liquids. A gradient elution system using a cross-Tesla mixer was fabricated on a 20 mm × 20 mm silicon chip with a separation channel of pillar array columns and a sample injection channel. A mixed solution of water and fluorescein in methanol was delivered to the separation channel 7 s after the gradient program had been started. Then, the fluorescence intensity increased gradually with the increasing ratio of fluorescein, which showed that the gradient elution worked well. Under the gradient elution condition, the retention times of two coumarin dyes decreased with the gradient time. When the gradient time was 30 s, the analysis could be completed in 30 s, which was only half the time required compared to that required for an isocratic elution. Fluorescent derivatives of aliphatic amines were successfully separated within 110 s. The results show that the proposed system is promising for the analyses of complex biological samples.     

Adaptation of a thermospray liquid chromatography/mass spectrometry interface for use with alkaline anion exchange liquid chromatography of carbohydrates

An interface is described that allows the direct coupling of high-performance alkaline anion exchange liquid chromatography with thermospray mass spectrometry. A membrane suppressor is used to remove nonvolatile alkaline salts from the mobile phase after the chromatographic process is completed and prior to introduction into the mass spectrometer. Examples are given of both isocratic and gradient separations of a three-component test mixture of N-acetylated mono- and disaccharides, followed by on-line mass spectral data acquisition. Sensitivity studies show minimum detection limits for the test compounds to be in the microgram range.     

Evaluation of automated isocratic and gradient nano-liquid chromatography and capillary electrochromatography

An automated liquid nano-separation system has been developed for nano-liquid chromatography (nano-LC) and capillary electrochromatography (CEC) using both isocratic and gradient elution. One fused-silica nanocolumn, typically 75 μm i.d. × 39 cm (25 cm effective packed length), packed with Spherisorb ODS 1, 3 μm particle size, can be used with either technique without having to remove the column upon switching from one mode to the other. The mobile phase is delivered by two reciprocating micro-LC pumps at a flow rate of 30 μL/min to a postinjection splitter that houses the nanocolumn inlet. The splitter is directly connected to a micro-injection valve with a 0.5 μL injection volume. In the CEC mode, pressure is not applied (no restriction on splitter) to the column inlet or outlet and the voltage is continuously applied during sample injection and mobile phase delivery. In the nano-LC mode, the restrictor is coupled to the splitter. Using the same nanocolumn under isocratic conditions, the repeatabilities of retention time and peak area for nano-LC were better than 0.2% and 4%, respectively, and those for CEC were better than 0.6% and 6%, respectively. On average, column efficiency was 57% higher in CEC compared to nano-LC. Gradient elution separations of parabens and polynuclear aromatic hydrocarbons (PAHs) were accomplished by CEC.     

Automated ultra-high-pressure multidimensional protein identification technology (UHP-MudPIT) for improved peptide identification of proteomic samples

Multidimensional separation is one of the most successful approaches for proteomics studies that deal with complex samples. We have developed an automated ultra-high-pressure multidimensional liquid chromatography system that operates up to approximately 20 kpsi to improve separations and increase protein coverage from limited amount of samples. The reversed-phase gradient is operated in the constant-flow mode opposed to the constant-pressure mode, which is typical of previous ultra-high-pressure systems. In contrast to constant-pressure systems, the gradient shape is fully controllable and can be optimized for the type of samples to be run. The system also features fast sample loading/desalting using a vented column approach to improve sample throughput. This approach was validated on a soluble fraction from yeast lysate where we achieved approximately 30% more protein identifications using a 60-cm-long triphasic capillary column than with our traditional approach. Advantages of the use of a relatively long reversed-phase column (approximately 50 cm) for MudPIT-type experiments are also discussed.     

Theoretical investigation of the spatial progression of temporal statistical moments in linear chromatography

Migration and dispersion in chromatography are modeled by analogy to an effective eddy diffusion process. On the basis of this model, the spatial rates of temporal statistical moment change are derived for general chromatography in linear media. In most practical cases, these equations can be simplified so that temporal statistical moments can be calculated by solving a system of ordinary differential equations that depend only on the local HETP, solute velocity, and initial values of the temporal statistical moments. The calculations of temporal centroid, temporal variance, temporal skew, and temporal excess are demonstrated for the case of linear solvent strength gradients. It is shown for the case of temporally invariant separation environments, such as isocratic liquid chromatographic systems and isothermal gas chromatographic systems, that temporal variance contributions are spatially additive and that the temporal third normalized central moment is unaffected by spatial variations in the medium. A refined explanation is given for how peak symmetry is improved in gradient forms of chromatography.     

Chiral separations performed by enhanced-fluidity liquid chromatography on a macrocyclic antibiotic chiral stationary phase

The use of enhanced-fluidity liquid chromatography (EFLC) for chiral separations was demonstrated on a macrocyclic antibiotic column, Chirobiotic-V. This technique was compared to high performance liquid chromatography (HPLC) and supercritical fluid chromatography (SFC) for the separation of chiral compounds in normal-phase mode. The highest resolution was always observed for EFLC condition. Higher efficiency and shorter retention time were also observed for most separations with portions of CO(2) in the range of 0-50 mol %. Larger amounts of CO(2) caused efficiency to decrease and retention time to be prolonged. For some separations, the temperature was elevated to bring the mobile phase to the supercritical condition. Improved efficiency was obtained in SFC, whereas resolution and selectivity were worse. The use of EFLC in reversed-phase chiral separations was also tested. Enantiomer resolution improved under the EFLC condition. For the tested methanol/H(2)O mixture, fluoroform provided more significant improvements in chromatographic performance than CO(2) when used as a fluidity enhancing liquid. The use of EFLC instead of HPLC also caused a markedly lower pressure drop across the column for commonly used flow rates. The low-pressure drop will allow the use of longer columns or multiple columns to increase the total efficiency of the separation. Since chiral columns are often inefficient, this attribute may be very important for chiral separations.     

Gradient elution isotachophoresis for enrichment and separation of biomolecules

A novel format for performing capillary isotachophoresis (ITP) is described -- gradient elution ITP (GEITP). GEITP merges the recently described electrophoretic separation technique of gradient elution moving boundary electrophoresis (GEMBE) with an ITP enrichment step. GEMBE utilizes a combination of continuous sample injection with a pressure-controlled counterflow; as the counterflow is reduced, analytes are sequentially eluted onto the separation column and detected as boundary interfaces. By incorporating leading electrolytes into the counterflow and terminating electrolytes into the sample matrix, an ionic interface can be formed near the capillary inlet. The discontinuous buffer system forms highly enriched analyte zones outside of the capillary, which are then eluted onto the separation capillary as the counterflow is reduced. Separation of fluorescent analytes was achieved either through discrete electrolyte spacers added to the sample or by using ampholyte mixtures to form a continuum of spacers. As the ITP process occurs off-column, extremely short length separations can be achieved, as demonstrated by a separation in 30 microm. The effects of various parameters on the GEITP enrichment process are investigated, including initial counterflow rates, electric field, leading electrolyte concentration, and counterflow acceleration, which is an adjustable parameter allowing for highly flexible separations. Typical enhancements in limits of detection and sensitivity were greater than 10,000-fold and were achieved in less than 2 min, yielding low-picomolar detection limits using arc lamp illumination and low-cost CCD detection. An optimized system afforded greater than 100,000-fold improvement in detection of carboxyfluorescein in 8 min. Specific examples of enrichment and separation demonstrated include the following: small dye molecules, DNA, amino acid mixtures, and protein mixtures.     

Incorporation of single-wall carbon nanotubes into an organic polymer monolithic stationary phase for mu-HPLC and capillary electrochromatography

Single-wall carbon nanotubes (SWNT) were incorporated into an organic polymer monolith containing vinylbenzyl chloride (VBC) and ethylene dimethacrylate (EDMA) to form a novel monolithic stationary phase for high-performance liquid chromatography (HPLC) and capillary electrochromatography (CEC). The retention behavior of neutral compounds on this poly(VBC-EDMA-SWNT) monolith was examined by separating a mixture of small organic molecules using micro-HPLC. The result indicated that incorporation of SWNT enhanced chromatographic retention of small neutral molecules in reversed-phase HPLC presumably because of their strongly hydrophobic characteristics. The stationary phase was formed inside a fused-silica capillary whose lumen was coated with covalently bound polyethyleneimine (PEI). The annular electroosmotic flow (EOF) generated by the PEI coating allowed peptide separation by CEC in the counterdirectional mode. Comparison of peptide separations on poly(VBC-EDMA-SWNT) and on poly(VBC-EDMA) with annular EOF generation revealed that the incorporation of SWNT into the monolithic stationary phase improved peak efficiency and influenced chromatographic retention. The structures of pretreated SWNT and poly(VBC-EDMA-SWNT) monolith were examined by high-resolution transmission electron microscopy, Raman spectroscopy, scanning electron microscopy, and multipoint BET nitrogen adsorption/desorption.     

An equilibrium method for continuous-flow cell sorting using dielectrophoresis

Separations represent a fundamental unit operation in biology and biotechnology. Commensurate with their importance is the diversity of methods that have been developed for performing them. One important class of separations are equilibrium gradient methods, wherein a medium with some type of spatial nonuniformity is combined with a force field to focus particles to equilibrium positions related to those particles' intrinsic properties. A second class of techniques that is nonequilibrium exploits labels to sort particles based upon their extrinsic properties. While equilibrium techniques such as iso-electric focusing (IEF) have become instrumental within analytical chemistry and proteomics, cell separations predominantly rely upon the second, label-based class of techniques, exemplified by fluorescence-activated cell sorting (FACS) and magnetic-activated cell sorting (MACS). To extend the equilibrium techniques available for separating cells, we demonstrate the first implementation of a new microfluidic equilibrium separation method, which we call isodielectric separation (IDS), for sorting cells based upon electrically distinguishable phenotypes. IDS is analogous to isoelectric focusing, except instead of separating amphoteric molecules in a pH gradient using electrophoresis, we separate cells and particles in an electrical conductivity gradient using dielectrophoresis. IDS leverages many of the advantages of microfluidics and equilibrium gradient separation methods to create a device that is continuous-flow, capable of parallel separations of multiple (>2) subpopulations from a heterogeneous background, and label-free. We demonstrate the separation of polystyrene beads based upon surface conductance as well as sorting nonviable from viable cells of the budding yeast Saccharomyces cerevisiae.     

Capillary electrochromatography of proteins on an anion-exchanger column

Capillary electrochromatography (CEC) of proteins was carried out using 50-microm-i.d. fused-silica capillaries packed with 5-microm silica beads having strong anion-exchanger functions attached to hydrophilic spacers at the chromatographic surface. The siliceous microspheres and the capillary innerwall were treated first with a heterobifunctional silanizing agent and reacted subsequently with a vinyl monomer containing quaternary ammonium groups to form a "tentacular" anion exchanger. A mixture of bovine carbonic anhydrase, alpha-lactalbumin, soybean trypsin inhibitor, and ovalbumin was separated using CEC by isocratic elution in the codirectional mode with aqueous phosphate buffer, pH 7.0, containing sodium chloride. The retention mechanism of isocratic CEC for proteins on the anion-exchanger column was illustrated by the results of a study on the effect of salt concentration on the separation. The potential of CEC for protein separation with high resolution was also demonstrated by electrochromatograms of conalbumin and hemoglobin variants. The results shed light on the mechanism of protein separation by isocratic CEC, which is believed to be a combination of chromatographic retention by electrostatic interactions and electrophoretic migration. Assuming that the contributions of the two mechanisms to the overall migration velocity are additive, an electrochromatographic resolution equation was derived and compared to the resolution equation in HPLC to reveal the constituents responsible for the enhancement of resolution by CEC with respect to that in HPLC. The advantage of CEC was also examined by comparing peak capacities in CEC on an, isocratic platform with peak capacities obtained with isocratic and gradient elution HPLC.