Combined affinity and rate constant distributions of ligand populations from experimental surface binding kinetics and equilibria

The present article considers the influence of heterogeneity in a mobile analyte or in an immobilized ligand population on the surface binding kinetics and equilibrium isotherms. We describe strategies for solving the inverse problem of calculating two-dimensional distributions of rate and affinity constants from experimental data on surface binding kinetics, such as obtained from optical biosensors. Although the characterization of a heterogeneous population of analytes binding to uniform surface sites may be possible under suitable experimental conditions, computational difficulties currently limit this approach. In contrast, the case of uniform analytes binding to heterogeneous populations of surface sites is computationally feasible, and can be combined with Tikhonov-Phillips and maximum entropy regularization techniques that provide the simplest distribution that is consistent with the data. The properties of this ligand distribution analysis are explored with several experimental and simulated data sets. The resulting two-dimensional rate and affinity constant distributions can describe well experimental kinetic traces measured with optical biosensors. The use of kinetic surface binding data can give significantly higher resolution than affinity distributions from the binding isotherms alone. The shape and the level of detail of the calculated distributions depend on the experimental conditions, such as contact times and the concentration range of the analyte. Despite the flexibility introduced by considering surface site distributions, the impostor application of this model to surface binding data from transport limited binding processes or from analyte distributions can be identified by large residuals, if a sufficient range of analyte concentrations and contact times are used. The distribution analysis can provide a rational interpretation of complex experimental surface binding kinetics, and provides an analytical tool for probing the homogeneity of the populations of immobilized protein.     

Development and validation of a kinetic assay for analysis of anti-human interleukin-5 monoclonal antibody (SCH 55700) and human interleukin-5 interactions using surface plasmon resonance

A method to assess the kinetic interactions of a humanized anti-human interleukin-5 (IL-5) monoclonal antibody (SCH 55700) with native human IL-5 using surface plasmon resonance (SPR) has been developed and validated. Since there are no clearly defined validation requirements for a SPR-based binding kinetic assay, the validation strategy was based on the guidelines stipulated by the International Conference on Harmonization for Analytical Method Validation. Due to the uniqueness of the method, however, proper interpretation of the guidance was critical for establishing a validation plan. Validation was designed to assess repeatability, intermediate precision, specificity, linearity, and robustness which included analysis of baseline stability and reproducibility of ligand immobilization. Additionally, system suitability criteria were established to assure that the assay consistently performs as it was intended. The experimental artifacts that can complicate kinetic analysis using biosensor technology, such as heterogeneity of the ligand, mass transport, and nonspecific binding, were considered during the development of this assay. For each run, replicate concentrations of SCH 55700 were injected randomly over the immobilized surfaces to acquire association- and dissociation-phase data. The data were transformed and double referenced to remove systematic deviations seen in the binding responses. Association and dissociation rates were determined using a bivalent analyte model for curve fitting.     

Increasing throughput of surface plasmon resonance-based biosensors by multiple analyte injections

Surface plasmon resonance-based biosensors are now acknowledged as robust and reliable instruments to determine the kinetic parameters related to the interactions between biomolecules. These kinetic parameters are used in screening campaigns: there is a considerable interest in reducing the experimental time, thus improving the throughput of the surface plasmon resonance assays. Kinetic parameters are typically obtained by analyzing data from several injections of a given analyte at different concentrations over a surface where its binding partner has been immobilized. It has been already proven that an iterative optimization approach aiming at determining optimal analyte injections to be performed online can significantly reduce the experimentation time devoted to kinetic parameter determination, without any detrimental effect on their standard errors. In this study, we explore the potential of this iterative optimization approach to further reduce experiment duration by combining it with the simultaneous injection of two analytes.     

Kinetic Titration Series with Biolayer Interferometry

Biolayer interferometry is a method to analyze protein interactions in real-time. In this study, we illustrate the usefulness to quantitatively analyze high affinity protein ligand interactions employing a kinetic titration series for characterizing the interactions between two pairs of interaction patterns, in particular immunoglobulin G and protein G B1 as well as scFv IC16 and amyloid beta (1–42). Kinetic titration series are commonly used in surface plasmon resonance and involve sequential injections of analyte over a desired concentration range on a single ligand coated sensor chip without waiting for complete dissociation between the injections. We show that applying this method to biolayer interferometry is straightforward and i) circumvents problems in data evaluation caused by unavoidable sensor differences, ii) saves resources and iii) increases throughput if screening a multitude of different analyte/ligand combinations.     

Biosensor-based fragment screening using FastStep injections

We have developed a novel analyte injection method for the SensíQ Pioneer surface plasmon resonance-based biosensor referred to as “FastStep.” By merging buffer and sample streams immediately prior to the reaction flow cells, the instrument is capable of automatically generating a two- or threefold dilution series (of seven or five concentrations, respectively) from a single analyte sample. Using sucrose injections, we demonstrate that the production of each concentration within the step gradient is highly reproducible. For kinetic studies, we developed analysis software that utilizes the sucrose responses to automatically define the concentration of analyte at any point during the association phase. To validate this new approach, we compared the results of standard and FastStep injections for ADP binding to a target kinase and a panel of compounds binding to carbonic anhydrase II. Finally, we illustrate how FastStep can be used in a primary screening mode to obtain a full concentration series of each compound in a fragment library.     

The kinetics of analyte capture on nanoscale sensors

This article presents a number of kinetic analyses related to binding processes relevant to capture of target analyte species in nanoscale cantilever-type devices designed to detect small concentrations of biomolecules. The overall analyte capture efficiency is a crucial measure of the ultimate sensitivity of such devices, and a detailed kinetic analysis tells us how rapidly such measurements may be made. We have analyzed the capture kinetics under a variety of conditions, including the possibility of so-called surface-enhanced ligand capture. One of the modalities studied requires ligand capture through a cross-linking mechanism, and it was found that this mode may provide a robust and sensitive approach to biomolecular detection. For the two modalities studied, we find that detection of specific biomolecules down to concentration levels of 1 nM or less appear to be quite feasible for the device configurations studied.     

Pushing the detection limits: the evanescent field in surface plasmon resonance and analyte-induced folding observation of long human telomeric repeats

Conventional analysis of molecular interactions by surface plasmon resonance is achieved by the observation of optical density changes due to analyte binding to the ligand on the surface. Low molecular weight interaction partners are normally not detected. However, if a macromolecule such as DNA can extend beyond the evanescent field and analyte interaction results in a large-scale contraction, then the refractive index changes due to the increasing amount of macromolecules close to the surface. In our proof-of-principle experiment we could observe the direct folding of long, human telomeric repeats induced by the small analyte potassium using surface plasmon resonance spectroscopy. This work demonstrates the feasibility of new evanescent field-based biosensors that can specifically observe small molecule interactions.     

High-throughput and multiplexed regeneration buffer scouting for affinity-based interactions

Affinity-based analyses on biosensors depend partly on regeneration between measurements. Regeneration is performed with a buffer that efficiently breaks all interactions between ligand and analyte while maintaining the active binding site of the ligand. We demonstrated a regeneration buffer scouting using the combination of a continuous flow microspotter with a surface plasmon resonance imaging platform to simultaneously test 48 different regeneration buffers on a single biosensor. Optimal regeneration conditions are found within hours and consume little amounts of buffers, analyte, and ligand. This workflow can be applied to any ligand that is coupled through amine, thiol, or streptavidin immobilization.     

Kinetic analysis and fragment screening with Fujifilm AP-3000

We evaluated the performance of Fujifilm’s new AP-3000 surface plasmon resonance biosensor for kinetic analysis and fragment screening. Using carbonic anhydrase II as a model system, we characterized a set of 10 sulfonamide-based inhibitors that range in molecular mass from 98 to 341 Da and approximately 10,000-fold in affinity (0.4 mM to 20 nM). Although the data collected from the AP-3000 were generally similar to those collected using a Biacore T100, the AP-3000’s stop-flow analyte delivery system complicated the shapes of the association- and dissociation-phase binding responses. We illustrate how reasonable estimates of the kinetic rate constants can be extracted from AP-3000 data by limiting data analysis to only the regions of the responses collected during flow conditions. We also provide an example of the results obtained for a fragment-screening study with the AP-3000, which is the ideal application of this technology.     

New evidence for the denaturant binding model.

Denaturation with guanidine hydrochloride (GdnHCl) or urea is one of the primary ways of measuring the conformational stability of proteins and comparing the stability of mutant proteins. Despite the widespread use of these two denaturants to provide quantitative data for the free energies of unfolding, the mode of action of these agents is not well understood. We are not even certain whether the action of these agents on proteins is direct and can be regarded as ligand binding, or indirect and involves a change in the properties of solvent (water) in the presence of GdnHCl and urea. In this paper, an extensive kinetic study of the inhibition of ribonuclease A and papain by urea has been performed. The results suggest that the effect of urea on activities of these enzymes can be well described by the denaturant binding model. The binding constants of urea determined by the present method are nearly identical to that determined from a variety of different studies on model compounds and proteins.     

Multiple receptor states are required to describe both kinetic binding and activation of neutrophils via N-formyl peptide receptor ligands

It is well-established that the binding of N-formyl peptides to the N-formyl peptide receptor on neutrophils can be described by a kinetic scheme that involves two ligand-bound receptor states, both a low affinity ligand-receptor complex and a high affinity ligand-receptor complex, and that the rate constants describing ligand-receptor binding and receptor affinity state interconversion are ligand-specific. Here we examine whether differences due to these rate constants, i.e. differences in the numbers and lifetimes of particular receptor states, are correlated with neutrophil responses, namely actin polymerization and oxidant production. We find that an additional receptor state, one not discerned from kinetic binding assays, is required to account for these responses. This receptor state is interpreted as the number of low affinity bound receptors that are capable of activating G proteins; in other words, the accumulation of these active receptors correlates with the extent of both responses. Furthermore, this analysis allows for the quantification of a parameter that measures the relative strength of a ligand to bias the receptor into the active conformation. A model with this additional receptor state is sufficient to describe response data when two ligands (agonist/agonist or agonist/antagonist pairs) are added simultaneously, suggesting that cells respond to the accumulation of active receptors regardless of the identity of the ligand(s).     

Exploring biomolecular recognition using optical biosensors.

Understanding the basic forces that determine molecular recognition helps to elucidate mechanisms of biological processes and facilitates discovery of innovative biotechnological methods and materials for therapeutics, diagnostics, and separation science. The ability to measure interaction properties of biological macromolecules quantitatively across a wide range of affinity, size, and purity is a growing need of studies aimed at characterizing biomolecular interactions and the structural elements that drive them. Optical biosensors have provided an increasingly impactful technology for such biomolecular interaction analyses. These biosensors record the binding and dissociation of macromolecules in real time by transducing the accumulation of mass of an analyte molecule at the sensor surface coated with ligand molecule into an optical signal. Interactions of analytes and ligands can be analyzed at a microscale and without the need to label either interactant. Sensors enable the detection of bimolecular interaction as well as multimolecular assembly. Most notably, the method is quantitative and kinetic, enabling determination of both steady-state and dynamic parameters of interaction. This article describes the basic methodology of optical biosensors and presents several examples of its use to investigate such biomolecular systems as cytokine growth factor-receptor recognition, coagulation factor assembly, and virus-cell docking.     

Modeling Taylor dispersion injections: determination of kinetic/affinity interaction constants and diffusion coefficients in label-free biosensing

A new method based on Taylor dispersion has been developed that enables an analyte gradient to be titrated over a ligand-coated surface for kinetic/affinity analysis of interactions from a minimal number of injections. Taylor dispersion injections generate concentration ranges in excess of four orders of magnitude and enable the analyte diffusion coefficient to be reliably estimated as a fitted parameter when fitting binding interaction models. A numerical model based on finite element analysis, Monte Carlo simulations, and statistical profiling were used to compare the Taylor dispersion method with standard fixed concentration injections in terms of parameter correlation, linearity of parameter error space, and global versus local model fitting. A dramatic decrease in parameter correlations was observed for TDi curves relative to curves from standard fixed concentration injections when surface saturation was achieved. In FCI the binding progress is recorded with respect to injection time, whereas in TDi the second time dependency encoded in the analyte gradient increases resolving power. This greatly lowers the dependence of all parameters on each other and on experimental interferences. When model parameters were fitted locally, the performance of TDis remained comparable to global model fitting, whereas fixed concentration binding response curves yielded unreliable parameter estimates.     

Kinetic and thermodynamic analysis of 9-cis-retinoic acid binding to retinoid X receptor alpha.

The interaction of retinoid X receptor alpha with 9-cis-retinoic acid was studied using stopped-flow fluorescence spectroscopy. Transient kinetic analyses of this interaction suggest a two-step binding mechanism involving a rapid, enthalpically driven pre-equilibrium followed by a slower, entropically driven reaction that may arise from a conformational change within the ligand binding domain of the receptor. The assignment of this kinetic mechanism was supported by agreement between the overall equilibrium constant, Kov, derived from kinetic studies with that determined by equilibrium fluorescence titrations. Although these analyses do not preclude ligand-induced alteration in the oligomerization state of the receptor in solution, the simplest model that can be applied to these data involves the stoichiometric interaction of 9-cis-retinoic acid with retinoid X receptor alpha monomers.     

Epitope Mapping by Label-Free Biomolecular Interaction Analysis

The diversity of B-cell response to a large immunogen gives rise to a series of antibodies that can be used for epitope mapping of an antigen. This is based on the relative reaction pattern for all antibodies in relation to each other and other ligands to the studied protein. With the introduction of an instrument system, BIAcore, label-free real-time biomolecular interaction analysis (BIA) was made possible. It is based on biosensor technology, with a carboxymethyl-dextran-coated gold surface and an integrated fluidics for transport of liquid. The basic idea is to measure label-free binding of an analyte from a continuous flow to an immobilized ligand in real time. With an automatic approach, quantitative analysis and sequential injection characteristic biospecific binding parameters such as affinity and kinetic constants can be measured. The instrument system was adopted at an early stage for epitope mapping. With label-free detection, antibodies from tissue culture media can be analyzed without purification. Binding of both antigen and a series of antibodies can be individually determined in molar ratio by sequential injections. The quantitative aspects of BIA offer the possibility of further refined epitope mapping. The relative binding pattern for 30 monoclonal antibodies against HIV-1 p24 core protein has been analyzed. Multideterminant analysis and peptide identification of binding sites were performed. Verification of the binding pattern has also been performed in relation to mapping with ELISA as well as the binding to peptides derived from the antigen sequence. Functional domains of proteins in relation to an epitope map have been identified forTaqpolymerase.     

Real Time Measurements of Membrane Protein:Receptor Interactions Using Surface Plasmon Resonance (SPR)

Protein-protein interactions are pivotal to most, if not all, physiological processes, and understanding the nature of such interactions is a central step in biological research. Surface Plasmon Resonance (SPR) is a sensitive detection technique for label-free study of bio-molecular interactions in real time. In a typical SPR experiment, one component (usually a protein, termed ''ligand'') is immobilized onto a sensor chip surface, while the other (the ''analyte'') is free in solution and is injected over the surface. Association and dissociation of the analyte from the ligand are measured and plotted in real time on a graph called a sensogram, from which pre-equilibrium and equilibrium data is derived. Being label-free, consuming low amounts of material, and providing pre-equilibrium kinetic data, often makes SPR the method of choice when studying dynamics of protein interactions. However, one has to keep in mind that due to the method''s high sensitivity, the data obtained needs to be carefully analyzed, and supported by other biochemical methods. SPR is particularly suitable for studying membrane proteins since it consumes small amounts of purified material, and is compatible with lipids and detergents. This protocol describes an SPR experiment characterizing the kinetic properties of the interaction between a membrane protein (an ABC transporter) and a soluble protein (the transporter''s cognate substrate binding protein).     

Detection and kinetics of mucosal pathogenic bacteria binding with polysaccharides

The detection and kinetics of mucosal pathogenic bacteria binding on polysaccharide ligands were studied using a surface plasmon resonance biosensor. The kinetic model applied curve-fitting to the experimental surface plasmon resonance sensorgrams to evaluate the binding interactions. The kinetic parameters for the mucosal pathogenic bacteria (Pseudomonas aeruginosa, Pseudomonasfluorescens, Serratia marcescens) with the alginate ligand were determined from a kinetic model. In addition, the binding interactions of the mucosal pathogenic bacteria with polysaccharide binding pairs (Pseudomonas aeruginosa/alginate, Streptococcus pneumoniae/pneumococcal polysaccharide, Staphylococcus aureus/pectin) were also compared with their kinetic parameters. The rate constants of association for Pseudomonas aeruginosa with the alginate ligand were higher than those for Pseudomonas fluorescens. Serratia marcescens had no detectable interaction with the alginate ligand. The adhesion affinity of Pseudomonas aeruginosa with alginate was higher than that for the other binding pairs. The binding affinities of the pathogenic bacteria with their own polysaccharide were higher than that of Staphylococcus aureus with pectin. Measuring the contact angle was found to be a feasible method for detecting binding interactions between analytes and ligands.     

Site-directed immobilization of antibody onto solid surfaces for the construction of immunochip

The performance of an immuno-analytical system can be assessed in terms of its analytical sensitivity,i.e., the detection limit of an analyte, which is determined by the amount of analyte molecules bound to the capture antibody that has been immobilized onto a solid surface. To increase the number of the binding complexes, we have investigated a site-directed immobilization of an antibody that has the ability to resolve a current problem associated with a random arrangement of the insolubilized immunoglobulin. The binding molecules were chemically reduced to produce thiol groups that were limited at the hinge region, and then, the reduced products were coupled to biotin. This biotinylated antibody was bound to a streptavidincoated surface via the streptavidin-biotin reaction. This method can control the orientation of the antibody molecules present on a solid surface and also can significantly reduce the possibility of steric hindrance in the antigen-antibody reactions. In a two-site immunoassay, the introduction of the site-directly immobilized antibody as the capture enhanced the sensitivity of analyte detection approximately 10 times compared to that of the antibody randomly coupled to biotin. Such a novel approach would offer a protocol of antibody immobilization in order for the possibility of constructing a high performance immunochip.     

In vitro farnesoid X receptor ligand sensor assay using surface plasmon resonance and based on ligand-induced coactivator association

Ligand binding to nuclear receptors leads to a conformational change that increases the affinity of the receptors to coactivator proteins. We have developed a ligand sensor assay for farnesoid X receptor (FXR) in which the receptor–coactivator interaction can be directly monitored using surface plasmon resonance biosensor technology. A 25-mer peptide from coactivator SRC1 containing the LXXLL nuclear receptor interaction motif was immobilized on the surface of a BIAcore sensor chip. Injection of the FXR ligand binding domain (FXRLBD) with or without the most potent natural ligand, chenodeoxycholic acid (CDCA), over the surface of the chip resulted in a ligand- and LXXLL motif-dependent interaction. Kinetic analysis revealed that CDCA and its conjugates decreased the equilibrium dissociation constant (K_d) by 8–11-fold, indicating an increased affinity. Using this technique, we found that a synthetic bile acid sulfonate, 3,7-dihydroxy-5β-cholane-24-sulfonate, which was inactive in a FXR response element-driven luciferase assay using CV-1 cells, caused the most potent interaction, comparable to the reaction produced by CDCA. This method provides a rapid and reliable in vitro ligand assay for FXR. This kinetic analysis-featured technique may be applicable to mechanistic studies.