Evolution of the theoretical description of the isoelectric focusing experiment: II. An open system isoelectric focusing experiment is a transient,bidirectional isotachophoretic experiment

The carrier ampholytes-based (CA-based) isoelectric focusing (IEF) experiment evolved from Svensson's closed system IEF (constant spatial current density, absence of convective mixing, counter-balancing electrophoretic and diffusive fluxes yielding a steady state pH gradient) to the contemporary open system IEF (absence of convective mixing, large cross-sectional area electrode vessels, lack of counter-balancing electrophoretic- and diffusive fluxes leading to transient pH gradients). Open system IEF currently is described by a two-stage model: In the first stage, a rapid IEF process forms the pH gradient which, in the second stage, is slowly degraded by isotachophoretic processes that move the most acidic and most basic CAs into the electrode vessels. An analysis of the effective mobilities and the effective mobility to conductivity ratios of the anolyte, catholyte, and the CAs indicates that in open system IEF experiments a single process, transient bidirectional isotachophoresis (tbdITP) operates from the moment current is turned on until it is turned off. In tbdITP, the anolyte and catholyte provide the leading ions and the pI 7 CA or the reactive boundary of the counter-migrating H₃O⁺ and OH⁻ ions serves as the shared terminator. The outcome of the tbdITP process is determined by the ionic mobilities, pK_a values, and loaded amounts of all ionic and ionizable components: It is constrained by both the transmitted amount of charge and the migration space available for the leading ions. tbdITP and the resulting pH gradient can never reach steady state with respect to the spatial coordinate of the separation channel.     

Colored pI standards and gel isoelectric focusing in strongly acidic pH

Colored, low molecular weight pI markers have been developed for isoelectric focusing (IEF) in acidic pH range. Their isoelectric points (pIs) were determined by direct measurement of the pH of the focused bands after completion of IEF on polyacrylamide gels. The practicable suitability of the proposed pI markers as pI standards for IEF was tested by applying gel IEF. The acidic pH gradient was created either by commercial synthetic carrier ampholytes or by mixture of simple buffers consisting of acids (non-ampholytes) and ampholytic buffers. By applying simple acids, it was possible to extend the acidic pH range beyond those achievable with commercial synthetic carrier ampholytes. By using an experimental arrangement without electrode electrolyte reservoirs with electrodes creating the fixed end of the gel, the strongly acidic pH gradient was stable even for prolonged focusing time.     

Two-dimensional gel isoelectric focusing

Two-dimensional gel isoelectric focusing (2-D gel IEF) is presented as the combination of the same separation method used consecutively in two directions of the same gel. In this new method, after completion of IEF process in the first dimension the gel was cut into the separate strips, each containing selected analytes together with the appropriate part of the original broad pH gradient, and the strips were rotated by 90 degrees (with regard to the first IEF) and left to diffuse overnight. After diffusion the strips were subjected to the second IEF. During the second IEF, the corresponding narrow part of pH gradient in each strip was restored again, however, now along the strip. The progress of the separation process can be monitored visually by using colored low-molecular-weight isoelectric point (pI) markers loaded into the gel simultaneously with proteins. The unique properties of IEF, focusing and resolution power were enhanced by using the same technique twice. Two forms of beta-lactoglobulin (pI values 5.14 and 5.31, respectively) non-separated in the first IEF were successfully separated in the second dimension at relatively low voltage (330 V) with the resolution power comparable to the high-resolution gels requiring the high voltage during the run and long separation time. Glucose oxidase loaded as diluted solution into ten positions across the gel was finally focused into a single band during 2-D gel IEF. Since the first and second IEF are carried out on the same gel, no losses and contamination of analyte occur. The suggested method can be used for separation/fractionation of complex biological mixtures, similarly as other multidimensional separation techniques applied in proteomics, and can be followed by further processing, e.g., mass spectrometry analysis. The focusing properties of IEF could be useful especially in separation of mixtures, where components are at low concentration levels.     

Carrier ampholyte‐free isoelectric focusing on a paper‐based analytical device for the fractionation of proteins

Isoelectric focusing plays a critical role in the analysis of complex protein samples. Conventionally, isoelectric focusing is implemented with carrier ampholytes in capillary or immobilized pH gradient gel. In this study, we successfully exhibited a carrier ampholyte‐free isoelectric focusing on paper‐based analytical device. Proof of the concept was visually demonstrated with color model proteins. Experimental results showed that not only a pH gradient was well established along the open paper fluidic channel as confirmed by pH indicator strip, the pH gradient range could also be tuned by the catholyte or anolyte. Furthermore, the isoelectric focusing fractions from the paper channel can be directly cut and recovered into solutions for post analysis with sodium dodecyl sulfate‐polyacrylamide gel electrophoresis and matrix‐assisted laser desorption/ionization‐time‐of‐flight mass spectrometry. This paper‐based isoelectric focusing method is fast, cheap, simple and easy to operate, and could potentially be used as a cost‐effective protein sample clean‐up method for target protein analysis with mass spectrometry.     

Sequential injection setup for capillary isoelectric focusing combined with MS detection

Capillary isoelectric focusing in the presence of electroosmosis with sequential injection of carrier ampholytes and sample was found to be suitable for MS detection. The separate injection of the sample and the ampholytes provides good condition to suppress and overcome the undesirable effect of the presence of ampholytes in MS. By the appropriate selection of ampholyte solutions, whose pH range not necessarily covers the pI values of the analytes, the migration of the components can be controlled, and the impact of the ampholytes on MS detection is decreased. The unique applicability of this setup is shown by testing several parameters, such as the application of volatile electrolyte solutions, the type of the ampholytes, the order and the number of the ampholyte and sample zones. Broad and narrow pH range ampholytes were applied in experiments using uncoated capillaries with different lengths for the analyses of substituted nitrophenol dyes to achieve optimal conditions for the MS detection. Although the sample components are not leaving the pH gradient, due to the decrease in the ampholyte concentration at the position of the components, and because the sample components migrate in charged state, the ionisation is more effective for MS detection.     

Direct ampholyte-free liquid-phase isoelectric peptide focusing: application to the human serum proteome

In this study, we utilized a multidimensional peptide separation strategy combined with tandem mass spectrometry (MS/MS) for the identification of proteins in human serum. After enzymatically digesting serum with trypsin, the peptides were fractionated using liquid-phase isoelectric focusing (IEF) in a novel ampholyte-free format. Twenty IEF fractions were collected and analyzed by reversed-phase microcapillary liquid chromatography (microLC)-MS/MS. Bioinformatic analysis of the raw MS/MS spectra resulted in the identification of 844 unique peptides, corresponding to 437 proteins. This study demonstrates the efficacy of ampholyte-free peptide autofocusing, which alleviates peptide losses in ampholyte removal strategies. The results show that the separation strategy is effective for high-throughput characterization of proteins from complex proteomic mixtures.     

Carrier ampholyte-free solution isoelectric focusing as a prefractionation method for the proteomic analysis of complex protein mixtures

The field of proteomics requires methods that offer high sensitivity and wide dynamic range. One of the strategies used to improve the dynamic range is sample prefractionation, such as microsolution isoelectric focusing (IEF). We have modified a commercial solution IEF instrument, the Rotofor, to prefractionate protein mixtures by carrier ampholyte-free solution IEF. The focusing chamber of the Rotofor was divided into several compartments by polyacrylamide membranes with imbedded Immobiline mixtures of specific pH values. When an electric field is applied, each protein migrates to the compartment confined by membranes with pH values flanking its isoelectric point. The approach was demonstrated for the focusing of myoglobin into a predicted compartment, as well as the separation of a complex soluble yeast protein mixture into several distinct fractions. The proteins were dissolved in water or 30% isopropanol. The method is applicable to both gel-based and solution-phase protein identification methods, without the need for further sample preparation.     

Instabilities of the pH gradient in carrier ampholyte-based isoelectric focusing: Elucidation of the contributing electrokinetic processes by computer simulation

Electrokinetic processes that lead to pH gradient instabilities in carrier ampholyte-based IEF are reviewed. In addition to electroosmosis, there are four of electrophoretic nature, namely (i) the stabilizing phase with the plateau phenomenon, (ii) the gradual isotachophoretic loss of carrier ampholytes at the two column ends in presence of electrode solutions, (iii) the inequality of the mobilities of positively and negatively charged species of ampholytes, and (iv) the continuous penetration of carbonate from the catholyte into the focusing column. The impact of these factors to cathodic and anodic drifts was analyzed by simulation of carrier ampholyte-based focusing in closed and open columns. Focusing under realistic conditions within a 5 cm long capillary in which three amphoteric low molecular mass dyes were focused in a pH 3–10 gradient formed by 140 carrier ampholytes was investigated. In open columns, electroosmosis displaces the entire gradient toward the cathode or anode whereas the electrophoretic processes act bidirectionally with a transition around pH 4 (drifts for pI > 4 and pI < 4 typically toward the cathode and anode, respectively). The data illustrate that focused zones of carrier ampholytes have an electrophoretic flux and that dynamic simulation can be effectively used to assess the magnitude of each of the electrokinetic destabilizing factors and the resulting drift for a combination of these effects. Predicted drifts of focused marker dyes are compared to those observed experimentally in a setup with coated capillary and whole column optical imaging.     

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.     

Carrier ampholyte‐free free‐flow isoelectric focusing for separation of protein

Free‐flow isoelectric focusing (FFIEF) has the merits of mild separation conditions, high recovery and resolution, but suffers from the issues of ampholytes interference and high cost due to expensive carrier ampholytes. In this paper, a home‐made carrier ampholyte‐free FFIEF system was constructed via orientated migration of H⁺ and OH^? provided by electrode solutions. When applying an electric field, a linear pH gradient from pH 4 to 9 (R² = 0.994) was automatically formed by the electromigration of protons and hydroxyl ions in the separation chamber. The carrier ampholyte‐free FFIEF system not only avoids interference of ampholyte to detection but also guarantees high separation resolution by establishing stable pH gradient. The separation selectivity was conveniently adjusted by controlling operating voltage and optimizing the composition, concentration and flow rate of the carrier buffer. The constructed system was applied to separation of proteins in egg white, followed by MADLI‐TOF‐MS identification. Three major proteins, ovomucoid, ovalbumin and ovotransferrin, were successfully separated according to their pI values with 15 mmol/L Tris‐acetic acid (pH = 6.5) as carrier buffer at a flow rate of 12.9 mL/min.     

Preparative isoelectric focusing of proteins using binary buffers in a vortex-stabilized, free-flow apparatus

Recombinant proteins are often produced as isoforms with different kinds and amounts of post-translational modifications that alter their function. Isoelectric focusing in shallow pH gradients, less than 0.5 pH/cm, might be capable of fractionating these isoforms. The synthetic carrier ampholyte mixtures typically used to generate these pH gradients are expensive and may adversely interact with proteins. Using defined buffers instead of synthetic carrier ampholytes reduces these problems. We tested two defined buffer systems in a vortex-stabilized electrophoresis device to see if they could form shallow pH gradients useful for separating isoforms. These pH gradients were formed by pouring a two-component concentration gradient. The poured gradients were smooth, reproducible, and stable for at least 1.5 h at 5 kV. One poured gradient focused 20 mg of cytochrome c. A second poured gradient separated glucose oxidase from amyloglucosidase. The breadth of the amyloglucosidase band indicates that the shallow, poured pH gradients can only partially separate protein isoforms at 10 kV. Proteins with pI < 0.2 pH units apart will have overlapping bands in these shallow, poured pH gradients.     

Divergent-flow isoelectric focusing for separation and preparative analysis of peptides

A divergent-flow isoelectric focusing (DF IEF) technique has been applied for the separation and preparative analysis of peptides. The parameters of the developed DF IEF device such as dimension and shape of the separation bed, selection of nonwoven material of the channel, and separation conditions were optimized. The DF IEF device was tested by the separation of a peptide mixture originating from the tryptic digestion of BSA, cytochrome c, and myoglobin. The pH gradient of DF IEF was created by the autofocusing of tryptic peptides themselves without any addition of carrier ampholytes. The focusing process was monitored visually using colored pI markers, and the obtained fractions were analyzed by RP-HPLC and ESI/TOF-MS. DF IEF operating in the autofocusing mode provides an efficient preseparation of peptides, which is comparable with a commercially available MicroRotofor multicompartment electrolyzer and significantly improves sequence coverage of analyzed proteins. The potential of the DF IEF device as an efficient tool for the preparative scale separations was demonstrated by the isolation of caseinomacropeptide (CMP) from a crude whey solution.     

The transitional isoelectric focusing process

The transitional isoelectric focusing (IEF) process (the course of pH gradient formation by carrier ampholytes (CAs) and the correlation of the focusing time with CA concentration) were investigated using a whole-column detection capillary isoelectric focusing (CIEF) system. The transitional double-peak phenomenon in IEF was explained as a result of migration of protons from the anodic end and hydroxyl ions from the cathodic end into the separation channel and the higher electric field at both acidic and basic sides of the separation channel. It was observed that focusing times increase logarithmically with CA concentration under a constant applied voltage. The correlation of focusing time with CA concentration was explained by the dependence of the charge-transfer rate on the amount of charged CAs within the separation channel during focusing.     

Modeling of electroosmotic and electrophoretic mobilization in capillary and microchip isoelectric focusing

Our dynamic capillary electrophoresis model which uses material specific input data for estimation of electroosmosis was applied to investigate fundamental aspects of isoelectric focusing (IEF) in capillaries or microchannels made from bare fused-silica (FS), FS coated with a sulfonated polymer, polymethylmethacrylate (PMMA) and poly(dimethylsiloxane) (PDMS). Input data were generated via determination of the electroosmotic flow (EOF) using buffers with varying pH and ionic strength. Two models are distinguished, one that neglects changes of ionic strength and one that includes the dependence between electroosmotic mobility and ionic strength. For each configuration, the models provide insight into the magnitude and dynamics of electroosmosis. The contribution of each electrophoretic zone to the net EOF is thereby visualized and the amount of EOF required for the detection of the zone structures at a particular location along the capillary, including at its end for MS detection, is predicted. For bare FS, PDMS and PMMA, simulations reveal that EOF is decreasing with time and that the entire IEF process is characterized by the asymptotic formation of a stationary steady-state zone configuration in which electrophoretic transport and electroosmotic zone displacement are opposite and of equal magnitude. The location of immobilization of the boundary between anolyte and most acidic carrier ampholyte is dependent on EOF, i.e. capillary material and anolyte. Overall time intervals for reaching this state in microchannels produced by PDMS and PMMA are predicted to be similar and about twice as long compared to uncoated FS. Additional mobilization for the detection of the entire pH gradient at the capillary end is required. Using concomitant electrophoretic mobilization with an acid as coanion in the catholyte is shown to provide sufficient additional cathodic transport for that purpose. FS capillaries dynamically double coated with polybrene and poly(vinylsulfonate) are predicted to provide sufficient electroosmotic pumping for detection of the entire IEF gradient at the cathodic column end.     

The effect of pH adjusted electrolytes on capillary isoelectric focusing assessed by high-resolution dynamic computer simulation

The effect of the composition of electrolytes on capillary IEF is assessed for systems with carrier ampholytes covering two pH units and with catholytes of decreased pH, anolytes of increased pH, and both electrode solutions with adjusted pH values. For electrolytes composed of formic acid as anolyte and ammonium hydroxide as catholyte, simulation is demonstrated to provide the expected IEF system in which analytes with pI values within the formed pH gradient are focused and become immobile. Addition of formic acid to the catholyte results in the formation of an isotachophoretic zone structure that migrates toward the cathode. With ammonium hydroxide added to the anolyte migration occurs toward the anode. In the two cases, all carrier components and amphoteric analytes migrate isotachophoretically as cations or anions, respectively. The data reveal that millimolar amounts of a counter ion are sufficient to convert an IEF pattern into an ITP system. With increasing amounts of the added counter ion, the overall length of the migrating zone structure shrinks, the range of the pH gradient changes, and the migration rate increases. The studied examples indicate that systems of this type reported in the literature should be classified as ITP and not IEF. When both electrolytes are titrated, a non-uniform background electrolyte composed of formic acid and ammonium hydroxide is established in which analytes migrate according to local pH and conductivity without forming IEF or ITP zone structures. Simulation data are in qualitative agreement with previously published experimental data.     

Advanced online mass spectrometry detection of proteins separated by capillary isoelectric focusing after sequential injection

Capillary isoelectric focusing hyphenated with mass spectrometry detection, following the sequential injection of the carrier ampholytes and the sample zone, is highly efficient for the characterization of proteins. The main advantage of the sequential injection protocol is that ampholytes, with pH ranges, which are not supposed to cover the isoelectric points of the sample components, can be used for separation. The method then allows online mass spectrometry detection of separated analytes either in the absence (substances that have left the pH gradient) or in the presence of low‐level ampholytes (substances that are migrating within the pH gradient). The appearance of the substances within, or outside the pH gradient depends on, e.g., the composition of the ampholytes (broad or narrow pH range) or on the composition of electrolyte solutions. The experiments performed in coated capillaries (with polyvinyl alcohol or with polyacrylamide) show that the amount and the injection length of the ampholytes influence the length of the pH gradient formed in the capillary.     

Electrophoretic mobilization in capillary isoelectric focusing by a weak acid or an acidic ampholyte as catholyte assessed by computer simulation

Capillary isoelectric focusing (CIEF) with cationic electrophoretic mobilization induced via replacing the catholyte with the anolyte or a solution of another acid or amino acid was investigated by computer simulation for a wide range pH gradient bracketed between two amphoteric spacers and short electrode vials with a higher id than the capillary. Dynamic simulations provide insight into the complexity of the mobilizing process in a hitherto inaccessible way. The electrophoretic mobilizing process begins with the penetration of the mobilizing compound through the entire capillary, is followed by a gradual or steplike decrease of pH, and ends in an environment with a non-homogenous solution of the mobilizer. Analytes do not necessarily pass the point of detection in the order of decreasing pI values. Cationic mobilization encompasses an inherent zone dispersing and refocusing process toward the capillary end. This behavior is rather strong with phosphoric acid and citric acid, moderate with aspartic acid, glutamic acid (GLU), formic acid, and acetic acid and less pronounced in the absence of the cathodic spacer. The data reveal that optical detectors should not be placed before 90% of capillary length. Aspartic acid, GLU, formic acid, and acetic acid provide an environment with a continuously decreasing pH that explains their successful use in optimized two-step CIEF protocols.     

Simplified capillary isoelectric focusing with chemical mobilization for intact protein analysis

We report a capillary isoelectric focusing system based on a sequential injection method for simplified chemical mobilization. This system was coupled to an ion trap mass spectrometer with an electrokinetically pumped nanoelectrospray interface. The nanoelectrospray emitter employed an acidic sheath electrolyte. To simplify focusing and mobilization, a plug of ammonium hydroxide was first injected into the capillary, followed by a section of mixed sample and ampholyte. During focusing, the NH₃H₂O section worked as catholyte. As focusing progressed, the NH₃H₂O section was titrated to lower pH by the acidic sheath electrolyte. Chemical mobilization started automatically once the ammonium hydroxide was consumed by the acidic sheath flow electrolyte, which then acted as the mobilization solution. In this report, the lengths of the NH₃H₂O section and sample were optimized. With a 1 m long capillary, a relative short plug of the NH₃H₂O section (3 cm) produced both fast migration and reasonable separation resolution. The simplified capillary isoelectric focusing mass spectrometry system produced base peak intensity relative standard deviation of 8.5% and migration time relative standard deviation ≤0.6% for myoglobin and cytochrome C in triplicate runs.     

Immobilized pH gradient isoelectric focusing and immunoblotting for investigations of anti-Borrelia burgdorferi IgG antibodies.

Anti-Borrelia burgdorferi immunoglobulin G (IgG) responses in cerebrospinal fluid, serum, and joint fluid from Lyme disease patients were investigated by immobilized pH gradient (IPG) isoelectric focusing (IEF) in pH 4-10 and pH 4-7 gels. After focusing, the anti-B.-burgdorferi antibodies were blotted by affinity-driven transfer to antigen-coated polyvinylidene difluoride membranes (immunoblot) and the IgG antibodies were immunoenzymatically stained. IPG-IEF gels gave an excellent resolution of IgG and the immunoblot proved advantageous for the detection of anti-B. burgdorferi IgG antibodies. These antibodies, as judged from the electromigration characteristics, were found to contain oligoclonal as well as polyclonal subpopulations. This latter group included IgG antibodies that were inadequately resolved when separated by conventional carrier ampholyte IEF.     

On‐chip protein isoelectric focusing using a photoimmobilized pH gradient†

An immobilized pH gradient was directly constructed on the inner wall of a microfluidic chip channel by photoimmobilizing focused carrier ampholytes onto the wall. A mixture of carbonic anhydrase, myoglobin, and trypsin inhibitor was successfully isoelectric‐focused and separated with good linearity between the pI values of proteins and the location of the focused bands. Furthermore, coating methods for the resistance of protein nonselective adsorption and simultaneously for pH gradient photocoupling were screened. The PEG‐silane coating method was found to be better than the cross‐linked polyacrylamide coating and aminosilane modification methods. Finally, based on the open tubular column mode of carrier ampholytes’ immobilization and effective antiadsorption coating, the immobilized pH gradient was reused and the chip was recycled for the first time. By virtue of its remarkable features including simplicity, convenience, high efficiency of protein enrichment and separation, and potential for coupling site‐selective IEF with other analytical or separation techniques, this novel method promises to be useful in several applications related with zwitterionic biomolecules.