Multiple-injection affinity capillary electrophoresis to estimate binding constants of receptors to ligands

Multiple-injection affinity capillary electrophoresis (MIACE) is used to determine binding constants (K _b) between receptors and ligands using as model systems vancomycin and teicoplanin from Streptomyces orientalis and Actinoplanes teichomyceticus, respectively, and their binding to D-Ala-D-Ala peptides and carbonic anhydrase B (CAB. EC 4.2.1.1) and the binding of the latter to arylsulfonamides. A sample plug containing a non-interacting standard is first injected followed by multiple plugs of sample containing the receptor and then a final injection of sample containing a second standard. Between each injection of sample, a small plug of buffer is injected which contains an increasing concentration of ligand to effect separation between the multiple injections of sample. Electrophoresis is then carried out in an increasing concentration of ligand in the running buffer. Continued electrophoresis results in a shift in the migration time of the receptor in the sample plugs upon binding to their respective ligand. Analysis of the change in the relative migration time ratio (RMTR) or electrophoretic mobility (μ) of the resultant receptor–ligand complex relative to the non-interacting standards, as a function of the concentration of ligand yields a value for K _b. The MIACE technique is a modification in the ACE method that allows for the estimation of binding affinities between biological interactions on a timescale faster than that found for standard ACE. In addition sample volume requirements for the technique are reduced compared to traditional ACE assays. These findings demonstrate the advantage of using MIACE to estimate binding parameters between receptors and ligands.     

Partial filling multiple injection affinity capillary electrophoresis (PFMIACE) to estimate binding constants of receptors to ligands

Partial filling multiple injection affinity capillary electrophoresis (PFMIACE) is used to determine binding constants between vancomycin (Van) from Streptomyces orientalis, teicoplanin (Teic) from Actinoplanes teicomyceticus and ristocetin (Rist) from Nocardia lurida to d-Ala-d-Ala terminus peptides and carbonic anhydrase B (CAB, E.C.4.2.1.1) to arylsulfonamides. Two variations of PFMIACE are described herein. In the first technique, the capillary is partially filled with ligand at increasing concentrations, a non-interacting standard, three or four separate plugs of receptor each separated by small plugs of buffer, a plug containing a second non-interacting standard, and then electrophoresed in buffer. Upon continued electrophoresis, equilibrium is established between the ligand and receptors causing a shift in the migration time of the receptors with respect to the non-interacting standards. This change in migration time is utilized for estimating multiple binding constants (K_b) for the same interaction. In the second technique, separate plugs of sample containing non-interacting standards, peptide one, buffer, and peptide two, were injected into the capillary column. The capillary is partially filled with a series of buffers containing an antibiotic at increasing concentrations and electrophoresed. Peptides migrate through the column at similar electrophoretic mobilities since their charge-to-mass ratios are approximately the same but remain as distinct zones due to the buffer plug between peptides. Upon electrophoresis, the plug of antibiotic flows into the peptide plugs affecting a shift in the migration time of the peptides with respect to the non-interacting standards occurs due to formation of the of the antibiotic-peptide complex. The shift in the migration time of the peptides upon binding to the antibiotic is used for the Scatchard analysis and measurement of a K_b. The PFMIACE technique expands the functionality and potential of ACE as an analytical tool to examine receptor-ligand interactions. In PFMIACE, a smaller amount of sample is required in the assay compared to both conventional ACE and MIACE. Furthermore, a wide array of data is obtained from a single experiment, thus, expediting the assay of biological species.     

Multiple-step ligand injection affinity capillary electrophoresis for determining binding constants of ligands to receptors

This work demonstrates the use of multiple-step ligand injection affinity capillary electrophoresis (ACE) using two model systems: vancomycin from Streptomyces orientalis and carbonic anhydrase B (CAB, EC 4.2.1.1). In this technique a sample plug of receptor and non-interacting standards is injected by pressure and electrophoresed in a buffer containing a given concentration of ligand. The sequence is repeated for all concentrations of ligand generating a single electropherogram containing a series of individual sample plugs superimposed on environments of buffer containing increasing concentrations of ligand. Analysis of the change in the relative migration time ratio, RMTR, relative to the non-interacting standards, as a function of the concentration of the ligand, yields a value for the binding constant. A competitive assay using the technique is also demonstrated using neutral ligands for CAB. These values agree well with those estimated using other binding and ACE techniques. Data demonstrating the quantitative potential of this method are presented.     

Estimation of binding constants of receptors and ligands by affinity capillary electrophoresis

An estimation method for determination of binding constants of receptors to ligands by affinity capillary electrophoresis was evaluated. On the basis of the theories of pseudostationary phase or so-called dynamic stationary phase, the retention factor (k) was used to represent the interaction between the receptor and ligand. k could be easily deduced from the migration times of the ligand and the receptor. Then, with the linear relationship of k versus the concentration of ligand in the running buffer, the binding constant K _b was calculated from the slope and intercept. In order to test its feasibility, the calculation method was demonstrated using three model systems: the interactions between vancomycin and N-acetyl-d-Ala-d-Ala, ristocetin and N-acetyl-d-Ala-d-Ala, and carbonic anhydrase B and an arylsulfonamide. Estimated binding constants were compared with those determined by other techniques. The results showed that this estimation method was reliable. This calculation method offers a simple and easy approach to estimating binding constants of ligands to receptors.     

Optimization of conditions for flow-through partial-filling affinity capillary electrophoresis to estimate binding constants of ligands to receptors

This work details the determination of the minimal injection time of ligand required in flow-through partial-filling affinity capillary electrophoresis (FTPFACE) to estimate binding constants of ligands to receptors. Two model systems are examined in this study: carbonic anhydrase B (CAB, EC 4.2.1.1) and arylsulfonamides, and vancomycin from Streptomyces orientalis and d-Ala-d-Ala peptides. Using CAB, a minimal injection time of 0.07 min at high pressure was determined that provided for the accurate and reproducible measurement of binding constants. In the FTPFACE technique, the capillary is first partially filled with a zone of ligand followed by a sample plug containing receptor and non-interacting standards. Upon application of a voltage the receptor and standards flow into the zone of ligand where a dynamic equilibrium is achieved between receptor and ligand. Continued electrophoresis results in the receptor and standards flowing through the domain of the ligand plug prior to detection. Analysis of the change in the relative migration time ratio (RMTR) of the receptor, relative to the non-interacting standards, as a function of the concentration of ligand, yields a value for the binding constant. In the present study, variable injection times of 4-carboxybenzenesulfonamide (CBSA) were examined to determine the minimal injection time needed to establish an equilibrium between CAB and ligand. A mathematical relationship was derived that correlated injection time and ligand concentration to the change in RMTR and comparisons made between the experimental and calculated values. Binding constants were obtained for a series of arylsulfonamide ligands and d-Ala-d-Ala terminus peptides to CAB and Van, respectively. The results support the use of FTPFACE to estimate affinity constants under variable experimental conditions.     

Use of a partial-filling technique in affinity capillary electrophoresis for determining binding constants of ligands to receptors

This work evaluates the concept of a partial-filling technique in affinity capillary electrophoresis (ACE) using two model systems: vancomycin from Streptomyces orientalis and carbonic anhydrase B (CAB, EC 4.2.1.1). In this technique the capillary is first partially-filled with ligand followed by a sample of receptor and non-interacting standard and electrophoresed. Analysis of the change in the mobility ratio, M, of the receptor, relative to the non-interacting standard, as a function of the concentration of the ligand, yields a value for the binding constant. These values agree well with those estimated using other binding and ACE techniques. Data demonstrating the quantitative potential of this method is presented.     

Determination of dissociation constants by competitive binding in partial filling capillary electrophoresis

The determination of dissociation constands (K(d)) by competitive ligand binding in partial filling capillary electrophoresis is demonstrated. Two different strategies were applied, one of which only uses a single reporter ligand and a more elaborated one which suppresses systemic disturbances by using a racemic mixture as reporter. The dissociation constants obtained by both alternatives were virtually identical and in good agreement with those previously reported.     

Flow-through partial-filling affinity capillary electrophoresis can estimate binding constants of neutral ligands to receptors via a competitive assay technique

This work evaluates the use of a competitive binding assay using flow-through partial-filling affinity capillary electrophoresis (FTPFACE) to estimate binding constants of neutral ligands to a receptor. We demonstrate this technique using, as a model system, carbonic anhydrase B (CAB, EC 4.2.1.1) and arylsulfonamides. In this technique, the capillary is first partially filled with a negatively charged ligand, a sample containing CAB and two noninteracting standards, and a neutral ligand, then electrophoresed. Upon application of a voltage the sample plug migrates into the plug of negatively charged ligand (L(-)) resulting in the formation of a CAB-L(-) complex. Continued electrophoresis results in mixing between the neutral ligand (L(0)) and the CAB-L(-) complex. L(0) successfully competes out L(-) to form the new CAB-L(0) complex. Analysis of the change in the relative migration time ratio (RMTR) of CAB relative to the noninteracting standards, as a function of neutral ligand concentration, yields a value for the binding constant. These values are in agreement with those estimated using other binding and ACE techniques. Data demonstrating the quantitative potential of this method is presented.     

Use of chemometric methodology in optimizing conditions for competitive binding partial filling affinity capillary electrophoresis

This work expands the knowledge of the use of chemometric response surface methodology (RSM) in optimizing conditions for competitive binding partial filling ACE (PFACE). Specifically, RSM in the form of a Box-Behnken design was implemented in flow-through PFACE (FTPFACE) to effectively predict the significance of injection time, voltage, and neutral ligand (neutral arylsulfonamide) concentration, [L(o)], on protein-neutral ligand binding. Statistical analysis results were used to create a model for response surface prediction via contour and surface plots at a given maximum response (DeltaRMTR) to reach a targeted K(b) = 2.50 x 10(6) M(-1). The adequacy of the model was then validated by experimental runs at the optimal predicted solution (injection time = 2.3 min, voltage = 11.6 kV, [L(o)] = 1.4 microM). The achieved results greatly extend the usefulness of chemometrics in ACE and provide a valuable statistical tool for the study of other receptor-ligand combinations.     

On-column ligand synthesis coupled to partial-filling affinity capillary electrophoresis to estimate binding constants of ligands to a receptor

This paper describes a two-step procedure whereby on-column ligand synthesis and partial-filling affinity capillary electrophoresis (PFACE) are sequentially coupled to each other to determine the binding constants of 9-fluorenylmethoxy carbonyl (Fmoc)-amino acid-D-Ala-D-Ala species to vancomycin (Van) from Streptomyces orientalis. In this technique four separate plugs of sample are injected onto the capillary column and electrophoresed. The initial sample plug contains a D-Ala-D-Ala terminus peptide and two non-interacting standards. Plugs two and three contain solutions of Fmoc-amino acid-N-hydroxysuccinimide (NHS) ester and running buffer, respectively. The fourth sample plug contains an increasing concentration of Van partially-filled onto the capillary column. Upon electrophoresis the initial D-Ala-D-Ala peptide reacts with the Fmoc-amino acid NHS ester yielding the Fmoc-amino acid D-Ala-D-Ala peptide. Continued electrophoresis results in the overlap of the plugs of Van and Fmoc-amino acid-D-Ala-D-Ala peptide and non-interacting markers. Analysis of the change in the relative migration time ratio of the Fmoc-amino acid-D-Ala-D-Ala peptide relative to the non-interacting standards, as a function of the concentration of Van, yields a value for the binding constant. These values agree well with those estimated using other binding and ACE techniques.     

Moment equations for partial filling capillary electrophoresis

Moment equations were developed for partial filling CE systems, in which solute dissolution phenomena by spherical molecular assemblies or intermolecular interactions take place. Because experimental conditions of partial filling CE are divided into five categories on the basis of the magnitude relationship between the migration velocity of solute molecules and that of molecular assemblies or ligand molecules, the moment equations were systematically developed for each case by using the Einstein equation for diffusion and the random walk model. In order to demonstrate the effectiveness of the moment equations, they were applied to the analysis of partial filling CE behavior, which is correlated with dissolution phenomena of small solute molecules into spherical molecular assemblies as specific examples. Simulation results only in the case that the migration velocity of solute molecules is faster than that of molecular assemblies were represented in this paper. Detailed explanations about the derivation procedure of the moment equations and the simulation results in other cases can be found in the Supporting Information. The moment equations are theoretical bases for applying partial filling CE to the study on solute permeation kinetics at the interface of spherical molecular assemblies and on reaction kinetics of intermolecular interactions.     

Multiple-injection affinity capillary electrophoresis to examine binding constants between glycopeptide antibiotics and peptides

Multiple-injection affinity capillary electrophoresis (MIACE) was used to determine binding constants (K(b)) between vancomycin, ristocetin, and teicoplanin from Streptomyces orientalis, Nocardia lurida, and Actinoplanes teichomyceticus, respectively, and fluorenylmethoxycarbonyl (Fmoc)-(Gly, Ala, Val, and Phe)-D-Ala-D-Ala peptides. In this technique, separate plugs of sample containing non-interacting standards, peptide one, buffer, and peptide two, were injected into the capillary column and electrophoresed. Peptides migrate through the column at similar electrophoretic mobilities but remain as distinct zones due to the buffer plug between peptides. The electrophoresis is then carried out in an increasing concentration of antibiotic in the running buffer. Continued electrophoresis results in a shift in the migration time of the peptides upon binding to the antibiotic. Analysis of the change in the relative migration time ratio (RMTR) of the resultant complexes relative to the non-interacting standards, as a function of the concentration of antibiotic yields a value for K(b). MIACE is a versatile technique that can be used to measure affinity constants between ligands of similar relative molecular mass and charge without the need of separate binding experiments. The findings described, herein, demonstrate the advantages of using MIACE to estimate binding parameters between ligands and receptors.     

On-column synthesis coupled to affinity capillary electrophoresis for the determination of binding constants of peptides to glycopeptide antibiotics

Binding constants of the glycopeptide antibiotics teicoplanin (Teic), ristocetin (Rist), and vancomycin (Van), and their derivatives to D-Ala-D-Ala terminus peptides were determined by on-column ligand and receptor synthesis coupled to affinity capillary electrophoresis (ACE) or partial filling ACE (PFACE). In the first technique, 9-fluorenylmethoxycarbonyl (Fmoc)-amino acid-D-Ala-D-Ala species are first synthesized using on-column techniques. The initial sample plug contains a D-Ala-D-Ala terminus peptide and two non-interacting standards. Plugs two and three contain solutions of Fmoc-amino acid-N-hydroxysuccinimide (NHS) ester and buffer, respectively. Upon electrophoresis, the initial D-Ala-D-Ala peptide reacts with the Fmoc-amino acid NHS ester yielding the Fmoc-amino acid D-Ala-D-Ala peptide. Continued electrophoresis results in the overlap of the glycopeptide in the running buffer and the plug of Fmoc-amino acid-D-Ala-D-Ala peptide and non-interacting markers. Subsequent analysis of the change in the electrophoretic mobility (mu) or relative migration time ratio (RMTR) of the peptide relative to the non-interacting standards, as a function of the concentration of the antibiotic, yields a value for the binding constant. In the second technique, derivatives of the glycopeptides Teic and Rist are first synthesized on-column before analysis by ACE or PFACE. After the column has been partially filled with increasing concentrations of D-Ala-D-Ala terminus peptides, a plug of buffer followed by two separate plugs of reagents are injected. The order of the reagent plugs containing the antibiotic and two non-interacting standards and the anhydride varies with the charge of the glycopeptide. Upon electrophoresis, the antibiotic reacts with the anhydride yielding a derivative of Teic or Rist. Continued electrophoresis results in the overlap of the derivatized antibiotic and the plug of D-Ala-D-Ala peptide. Analysis of the change in RMTR of the new glycopeptide relative to the non-interacting standards, as a function of the concentration of the D-Ala-D-Ala ligand yields a value for the binding constant.     

Capillary isoelectric focusing and affinity capillary electrophoresis approaches for the determination of binding constants for antibodies to the prion protein

For the development of specific immunological assays, the binding of a specific antibody (Ab) to the target antigen (Ag) has to be relatively strong. In this study, we have utilized affinity capillary electrophoresis (ACE), a form of capillary zone electrophoresis (CZE) to determine the binding constant (Kb) of specific Abs against bovine serum albumin (BSA) and the healthy prion protein (PrPc), in buffer solutions at fixed pHs, approximating in vivo conditions. We have also utilized capillary isoelectric focusing (cIEF) to determine the complexity and recognition of the various isoforms of PrPc Abs towards their Ag, PrPc. Only ACE and CZE have been used to derive Kb values. The selected Abs for the prion protein can recognize both healthy and diseased states of the protein and are commercially available. The Kb values of PrPc Abs appear to be as strong as the anti-BSA (Ab to BSA) and other reported Kb values for proteins of similar size to PrPc. This appears to be one of the few reports on Kb values for any PrPc Abs, and their applications for in vitro immunoassays (e.g., enzyme-linked immunosorbent assays (ELISAs)). Such assays are being used to detect the infectious agent, PrPres, in brain and related matter/tissues.     

Methods for the determination of binding constants by capillary electrophoresis

Apparent equilibrium constants for molecular association (e.g., association constants, binding constants, dissociation constants, partition coefficients) can be determined with a variety of different capillary electrophoresis (CE) approaches. In many cases, the investigated association behavior is between a smaller molecule or ion (i.e., the solute, drug, or analyte of interest) and a larger entity (e.g., proteins, micelles, polymers, chiral selectors such as cyclodextrins, etc.). Each experimental approach has advantages and disadvantages. Frequently, it is the nature of the system being evaluated that determines the optimal experimental approach. Six different CE-based techniques for evaluating binding constants are reviewed. Examples of each method, and recent references on its use are given.     

Frontal analysis microchip capillary electrophoresis to study the binding of ligands to receptors derivatized on magnetic beads

The model binding of the glycopeptide antibiotic teicoplanin (Teic) from Actinoplanes teichomyceticus, immobilized on magnetic microspheres, to d-Ala-d-Ala terminus peptides was assessed using microchip capillary electrophoresis (MCE) with continuous frontal analysis (FA). Teic is closely related to vancomycin (Van), historically, the drug of last resort used to treat many Gram-positive bacterial infections. Glycopeptide antibiotics inhibit bacterial growth by binding to the d-Ala-d-Ala terminus on the cell wall of Gram-positive bacteria via hydrogen bonds, thereby preventing the enzyme-mediated cross-linking of peptidoglycan and eventual cell death. In this work direct and competitive bead-based assays in a microfluidic chip are demonstrated. The binding constants obtained using the technique are comparable with values reported in the literature.     

Protein-aptamer binding studies using microchip affinity capillary electrophoresis

The use of traditional CE to detect weak binding complexes is problematic due to the fast-off rate resulting in the dissociation of the complex during the separation process. Additionally, proteins involved in binding interactions often nonspecifically stick to the bare-silica capillary walls, which further complicates the binding analysis. Microchip CE allows flexibly positioning the detector along the separation channel and conveniently adjusting the separation length. A short separation length plus a high electric field enables rapid separations thus reducing both the dissociation of the complex and the amount of protein loss due to nonspecific adsorption during the separation process. Thrombin and a selective thrombin-binding aptamer were used to demonstrate the capability of microchip CE for the study of relatively weak binding systems that have inherent limitations when using the migration shift method or other CE methods. The rapid separation of the thrombin-aptamer complex from the free aptamer was achieved in less than 10 s on a single-cross glass microchip with a relatively short detection length (1.0 cm) and a high electric field (670 V/cm). The dissociation constant was determined to be 43 nM, consistent with reported results. In addition, aptamer probes were used for the quantitation of standard thrombin samples by constructing a calibration curve, which showed good linearity over two orders of magnitude with an LOD for thrombin of 5 nM at a three-fold S/N.     

Determination of drug-cyclodextrin binding constants by capillary zone electrophoresis

Binding constants of the optical isomers of Deprenyl® (selegiline) and its potential metabolites with (2,6-di-O-methyl)--cyclodextrin were determined using electrophoretic mobility data gained from separations performed by capillary electrophoresis, and absorbancies obtained from spectrophotometric experiments. To calculate equilibrium constants l: l complex formation have been assumed. The comparison of the equilibrium constants calculated from different methods shows similar values in their order of magnitude. Their difference may probably be explained by the different media of the measurements. The effect of the structure of compounds on chiral discrimination were also elucidated.     

Estimation of binding constants between ristocetin and teicoplanin and peptides using on-column ligand derivatization coupled to affinity capillary electrophoresis

This work utilizes on-column ligand synthesis and affinity capillary electrophoresis (ACE) to determine binding constants (K_b) of 9-flourenylmethyloxy carbonyl (Fmoc)-amino acid derivatives to the glycopeptide antibiotics ristocetin (Rist) and teicoplanin (Teic). In this technique, two separate plugs of sample are injected on to the capillary column and electrophoresed. The initial sample plug contains a d-Ala-d-Ala terminus peptide and either one or two non-interacting standard(s). The second plug contains a Fmoc-amino acid-N-hydroxysuccinimide (NHS) ester. The electrophoresis is then carried out with an increasing concentration of Rist or Teic in the running buffer. Upon electrophoresis the initial d-Ala-d-Ala peptide reacts with the Fmoc-amino acid yielding a new Fmoc-amino acid-d-Ala-d-Ala peptide derivative. Continued electrophoresis results in the binding of Rist or Teic to the Fmoc-amino acid-d-Ala-d-Ala peptide derivatives. Analysis of the change in the relative migration time ratio (RMTR) or electrophoretic mobility () of the Fmoc-amino acid-d-Ala-d-Ala peptide derivatives relative to the non-interacting standards, as a function of the concentration of Rist and Teic, yields a value for K_b. These findings demonstrate the advantage of coupling on-column ligand synthesis to ACE for estimating binding parameters between antibiotics and ligands.Abbreviations Rist Ristocetin - Teic Teicoplanin - ACE Affinity capillary electrophoresis - RMTR Relative migration time ratio