Dissociation kinetics of bivalent ligand-immunoglobulin E aggregates in solution

A non-chromatographic method for the purification of a bivalently active monoclonal IgG antibody from biological fluids

This paper describes a method for the purification of monoclonal antibodies (rat anti-2,4-dinitrophenyl IgG: IgG(DNP); and mouse antidigoxin IgG: IgG(Dgn)) from ascites fluid. This procedure (for IgG(DNP)) has three steps: (i) precipitation of proteins heavier than immunoglobulins with ammonium sulfate; (ii) formation of cyclic complexes of IgG(DNP) by causing it to bind to synthetic multivalent haptens containing multiple DNP groups; (iii) selective precipitation of these dimers, trimers, and higher oligomers of the target antibody, followed by regeneration of the free antibody. This procedure separates the targeted antibody from a mixture of antibodies, as well as from other proteins and globulins in a biological fluid. This method is applicable to antibodies with a wide range of monovalent binding constants (0.1 microM to 0.1 nM). The multivalent ligands we used (derivatives of DNP and digoxin) isolated IgG(DNP) and IgG(Dgn) from ascites fluid in yields of >80% and with >95% purity. This technique has two advantages over conventional chromatographic methods for purifying antibodies: (i) it is selective for antibodies with two active Fab binding sites (both sites are required to form the cyclic complexes) over antibodies with one or zero active Fab binding sites; (ii) it does not require chromatographic separation. It has the disadvantage that the structure of the hapten must be compatible with the synthesis of bi- and/or trivalent analogues.

A synthetic trivalent hapten that aggregates anti-2,4-DNP IgG into bicyclic trimers

This paper describes the synthesis of the trivalent hapten molecule 1, containing three 2,4-dinitrophenyl (2,4-DNP) groups, and the use of this molecule to aggregate three molecules of anti-2,4-DNP IgG into a complex with 3:2 stoichiometry (IgG312). The equilibrium product IgG312 was generated in approximately 90% yield upon mixing IgG and 1; during incubation, thermodynamically unstable, high-molecular-weight aggregates (>104 nm in diameter) form first and convert subsequently to IgG312. The thermodynamics and the kinetics of the formation of aggregates were studied using size-exclusion high-performance liquid chromatography (SE-HPLC), dynamic light scattering (DLS), and analytical ultracentrifugation (AUC). An analytical model based on multiple species in equilibrium was developed and used to interpret the SE-HPLC data. The aggregate IgG312 was more stable thermodynamically and kinetically than monomeric aggregates of this IgG with monomeric derivatives of 2,4-DNP; this stability suggests potential applications of these aggregates in biotechnology.

Maintenance of B cell anergy requires constant antigen receptor occupancy and signaling

Immunological tolerance can be mediated by anergy, in which self-reactive B cells persist in the periphery yet remain unresponsive to immunogen. Whether anergy is induced after transient exposure to self antigen and is 'remembered' or requires continuous antigen receptor occupancy and transduction of signals remains unclear. We have explored this using an immunoglobulin-transgenic mouse in which B cells were hapten specific (arsonate) yet cross-reacted with a self antigen that induced anergy in vivo. Many features of anergic cells were rapidly reversed after dissociation of self antigen using hapten competition and these cells regained antigen responsiveness. Our findings indicate that continuous binding of antigen and subsequent receptor signaling are essential for the maintenance of anergy.

Inadvertent BSA-induced elution of IgE in the BSA-RAST

BACKGROUND

Bovine serum albumin (BSA) is widely used to block nonspecific binding in immunochemical assays. Whereas a previous study had indicated that soluble allergen present during the incubation with anti-IgE in the RAST did not affect bound IgE, we reinvestigated this in the current study, using IgE elution from BSA by soluble BSA as a test system.

METHODS

Sepharose-coupled BSA (0.08, 0.4, 2, or 10 microg BSA/test) was incubated overnight with serum and washed. The Sepharose was then incubated with different concentrations of soluble BSA (0, 12, 60, 300, or 1500 microg/test), washed again, and incubated with radioactive anti-IgE. The effect on IgE binding was investigated for various incubation periods (t=0, 1, 2, 4, and 20 h).

RESULTS

Incubation in buffer without BSA did not change IgE binding. Soluble BSA eluted IgE antibodies from immobilized BSA by up to 85%. If the BSA density on the solid phase was > or =2 microg/test, the elution efficiency was dependent on the levels of both immobilized BSA and soluble BSA. At lower densities, the dissociation was dependent only on the concentration of soluble BSA. The time needed to obtain 50% IgE elution (t(1/2)) was less if the density of immobilized BSA decreased. Below the critical density (0.8 microg BSA/mg solid phase), t(1/2) was independent of the coating density (45 min). Probably all IgE antibodies are monovalently bound below this density.

CONCLUSIONS

Dissociation of IgE from immobilized protein in the presence of soluble protein should be taken into account, particularly when IgE to mammalian serum albumin is involved (milk, meat, or animal dander).

Quantifying aggregation of IgE-FcepsilonRI by multivalent antigen

Aggregation of cell surface receptors by multivalent ligand can trigger a variety of cellular responses. A well-studied receptor that responds to aggregation is the high affinity receptor for IgE (FcepsilonRI), which is responsible for initiating allergic reactions. To quantify antigen-induced aggregation of IgE-FcepsilonRI complexes, we have developed a method based on multiparameter flow cytometry to monitor both occupancy of surface IgE combining sites and association of antigen with the cell surface. The number of bound IgE combining sites in excess of the number of bound antigens, the number of bridges between receptors, provides a quantitative measure of IgE-FcepsilonRI aggregation. We demonstrate our method by using it to study the equilibrium binding of a haptenated fluorescent protein, 2,4-dinitrophenol-coupled B-phycoerythrin (DNP25-PE), to fluorescein isothiocyanate-labeled anti-DNP IgE on the surface of rat basophilic leukemia cells. The results, which we analyze with the aid of a mathematical model, indicate how IgE-FcepsilonRI aggregation depends on the total concentrations of DNP25-PE and surface IgE. As expected, we find that maximal aggregation occurs at an optimal antigen concentration. We also find that aggregation varies qualitatively with the total concentration of surface IgE as predicted by an earlier theoretical analysis.

Kinetics of Multivalent Antigen DNP-BSA Binding to IgE-FcεRI in Relationship to the Stimulated Tyrosine Phosphorylation of FcεRI

Multivalent DNP-BSA is commonly used to cross-link anti-DNP IgE bound to FcεRI to stimulate cellular responses, although key features of the binding process are unknown. Fluorescence quenching can be used to study the kinetics of DNP-BSA binding to FITC-IgE. We observe that DNP-BSA binds more slowly to IgE than does an equimolar amount of a monovalent DNP ligand, suggesting that the average effective number of DNP groups per BSA is less than one. The binding data are well described by a transient hapten exposure model in which most of the DNP groups are unavailable for binding but have some probability of becoming exposed and available for binding during the time of the binding measurement. Additional experiments indicate that, for suboptimal to optimal concentrations of DNP-BSA, most of the FITC fluorescence quenching on the cell surface is due to cross-linking events. With these concentrations at 15°C, the kinetics of FITC fluorescence quenching by DNP-BSA correlates with the kinetics of DNP-BSA-stimulated tyrosine phosphorylation of FcεRI. At 35°C, the phosphorylation kinetics are biphasic during the time period in which cross-linking continues to increase. Our results establish a quantitative relationship between the timecourse for cross-linking by multivalent Ag and FcεRI-mediated signaling, and they provide the means to predict the kinetics of cross-linking under a wide variety of conditions.

An automated method for determination of antibody affinity distribution functions with nanogram quantities

We have developed a method to determine the binding affinity distribution functions (the probability density function for affinity constants will be referred to as affinity distribution throughout the text) for human serum antigen specific IgE for their respective allergens. This fully automated method, based on the Access technology of Sanofi Diagnostics Pasteur, is a highly sensitive two-step sandwich immunoassay requiring only nanogram quantities of antibodies. Allergen-antibody binding isotherms can be determined covering a range of 5 magnitudes of ligand (allergen) concentration. An affinity distribution function, describing the polyclonal nature of the antibody response, can be calculated from the binding isotherm. The validity of the method is assessed using mAbs against the purified allergen Der p 1. The resolving power and sensitivity of the method are demonstrated using selected sera from donors with high and low levels of specific IgE for these allergens. We are able to show that heterogeneous IgE populations can be determined using 100 microl of sera containing 150 pg of specific IgE per ml. Overall, the range of affinities that can be determined by this method is 1 x 10(6)-1 x 10(11) M(-1).

Ligand for EPH-related kinase (LERK) 7 is the preferred high affinity ligand for the HEK receptor

HEK is a member of the EPH-like receptor tyrosine kinase family, which appear to have roles in development and oncogenesis. Recently, we purified a soluble HEK ligand which is also a ligand (AL1) for the HEK-related receptor EHK1. Promiscuity appears to be a characteristic feature of interactions between the EPH-like receptors and their ligands, termed ligands for EPH-related kinases (LERKs). This prompted us to analyze the interactions between the HEK exodomain and fusion proteins comprising candidate LERKs and the Fc portion of human IgG1 (Fc) or a FLAGTM-peptide tag by surface plasmon resonance, size exclusion high performance liquid chromatography, sedimentation equilibrium, and transphosphorylation. Our results indicate that AL1/LERK7 is the preferred high-affinity ligand for HEK, forming a stable 1:1 complex with a dissociation constant of 12 nM. As expected the apparent affinities of bivalent fusion proteins of LERKs and the Fc portion of human IgG1 had significantly reduced dissociation rates compared with their monovalent, FLAGTM-tagged derivatives. High-avidity binding of monovalent ligands can be achieved by antibody-mediated cross-linking of monovalent ligands and with LERK7 results in specific phosphorylation of the receptor. By extrapolation, our findings indicate that some of the reported LERK-receptor interactions are a consequence of the use of bivalent ligand or receptor constructs and may be functionally irrelevant.

Analysis of Fc(epsilon)RI-mediated mast cell stimulation by surface-carried antigens

Clustering of the type I receptor for IgE (Fc[epsilon]RI) on mast cells initiates a cascade of biochemical processes that result in secretion of inflammatory mediators. To determine the Fc(epsilon)RI proximity, cluster size, and mobility requirements for initiating the Fc(epsilon)RI cascade, a novel experimental protocol has been developed in which mast cells are reacted with glass surfaces carrying different densities of both antigen and bound IgE, and the cell's secretory response to these stimuli is measured. The results have been analyzed in terms of a model based on the following assumptions: 1) the glass surface antigen distribution and consequently that of the bound IgE are random; 2) Fc(epsilon)RI binding to these surface-bound IgEs immobilizes the former and saturates the latter; 3) the cell surface is formally divided into small elements, which function as a secretory stimulus unit when occupied by two or more immobilized IgE-Fc(epsilon)RI complexes; 4) alternatively, similar stimulatory units can be formed by binding of surface-carried IgE dimers to two Fc(epsilon)RI. This model yielded a satisfactory and self-consistent fitting of all of the different experimental data sets. Hence the present results establish the essential role of Fc(epsilon)RI immobilization for initiating its signaling cascade. Moreover, it provides independent support for the notion that as few as two Fc(epsilon)RIs immobilized at van der Waals contact constitute an "elementary stimulatory unit" leading to mast cell (RBL-2H3 line) secretory response.

The affinity of allergen specific IgE and the competition between IgE and IgG for the allergen in Amb a V sensitive individuals

We have calibrated a solid state RAST assay with affinity purified allergen-specific IgE. We then utilized the calibrated assay to measure the average affinity of individual IgE-containing sera in terms of the average association constant < K > for purified allergen Amb a V. The binding data yielded linear reciprocal plots indicating that the range of affinities of the responding clones was narrow. The range of the average association constant for the IgE-Amb a V complex was 0.9-26 x 10(10) M-1. The average affinity of the corresponding IgG response in the same individual, estimated by inhibition studies of IgE binding, was 10(7) M-1 in one case and lower than 10(6) M-1 in all the other cases.

The kinetics of bivalent ligand-bivalent receptor aggregation: ring formation and the breakdown of the equivalent site approximation

When bivalent ligands capable of bridging binding sites on two different receptors interact with bivalent receptors, aggregates form. The aggregates can be of two types: chains (open structures containing n receptors, n-1 doubly bound ligands and 0, 1, or 2 singly bound ligands) and rings (closed structures containing n receptors and n doubly bound ligands). Both types of aggregates have been detected experimentally. In general, to determine the time dependence of the concentration of any particular aggregate requires solving an infinite set of coupled ordinary differential equations (ODEs). Perelson and DeLisi [19] showed that great simplification results if all receptor binding sites are equivalent, i.e., the binding properties of a site on a receptor are independent of the size of the aggregate the receptor is in. If only chains form, the problem reduces to solving two coupled ODEs for the concentrations of singly and doubly bound ligands. From the solutions to these ODEs, the time dependence of the entire aggregate size distribution can be determined. We show that the equivalent site approximation as formulated by Perelson and DeLisi [19] is incompatible with ring formation. We then present a modified equivalent site approximation that is useful if chains of any size can form but rings above a certain size (k) cannot. We show how to reduce the resulting infinite set of coupled ODEs to a closed system of at most 4k + 2 ODEs for the ligand concentrations, the ring concentrations, and the concentrations of all chains up to size k. Although we can only predict the kinetics of aggregate formation for aggregates of size k or less, at equilibrium the modified equivalent site approximation yields the complete aggregate size distribution.

Binding of bivalent ligand to cell surface IgE: can one detect ring formation?

It is well established that aggregation of cell surface immunoglobulin is involved in signal transduction by cells of the immune system. It is less well understood what special properties of these cell surface aggregates are important in initiating the signal cascade. Several authors have proposed that cells respond to the size (Fewtrell and Metzger (1980) J. Immun. 125, 701-710) as well as the stereochemistry (Ortega et al. (1989) Eur. J. Immun. 19, 2251-2256) of receptor aggregates. One approach to arriving at data relevant to this question has been to construct simple bivalent ligands that can bind to surface immunoglobulin. Several authors have suggested that when these bivalent ligands interact with surface immunoglobulin the formation of small stable cyclic complexes is highly favored. In this paper we consider whether it is possible to completely determine the parameters that describe the binding of a bivalent ligand to a bivalent receptor with the available experimental technology. We show that with the appropriate analysis procedure, using a modified equivalent site model, these parameters can be reliably determined from only three experiments even when there is a large amount of ring formation.

Interpretation of Scatchard plots for aggregating receptor systems

Aggregation of cell surface receptors, with each other or with other membrane proteins, occurs in a variety of experimental systems. The list of systems where receptor aggregation appears to be important in understanding ligand binding and cellular responses is growing rapidly. In this paper we explore the interpretation of equilibrium binding data for aggregating receptor systems. The Scatchard plot is a widely used tool for analyzing equilibrium binding data. The shape of the Scatchard plot is often interpreted in terms of multiple noninteracting receptor populations. Such an analysis does not provide a framework for investigating the role of receptor aggregation and will be misleading if there is a relation between receptor aggregation and ligand binding. We present a general model for the equilibrium binding of a ligand with any number of aggregating receptor populations and derive theoretical expressions for observable Scatchard plot features. These can be used to test particular models and estimate model parameters. We develop particular models and apply the general results in the cases of six aggregating receptor systems where ligand binding and receptor aggregation are related: cross-linking of monovalent cell surface proteins by monoclonal antibodies, cross-linking of cell surface antibodies by bivalent ligand, antibody-induced co-cross-linking of cell surface antibodies and Fc gamma receptors, ligand-enhanced aggregation of identical epidermal growth factor receptors, aggregation of heterologous receptors for interleukin 2 to form a high-affinity receptor, and association of receptors, including those for interleukins 5 and 6, with nonbinding accessory proteins that influence receptor affinity or effector function.

Dimerization kinetics of the IgE-class antibodies by divalent haptens. I. The Fab-hapten interactions

The binding of divalent haptens to IgE-class antibodies leads predominantly to their oligomerization into open and closed dimers. Kinetics of the open dimer formation was investigated by fluorescence titrations of Fab fragments of monoclonal DNP-specific IgE antibodies with divalent haptens having different spacer length (gamma = 14-130 A). Binding was monitored by quenching of intrinsic tryptophan emission of the Fab. Addition of divalent haptens with short spacers (gamma = 14-21 A) to the Fabs at rates larger than a distinct threshold value caused a significant decrease of Fab-binding site occupation in the initial phase of the titration. This finding was interpreted to reflect a nonequilibrium state of hapten-Fab-binding. Such nonequilibrium titrations were analyzed by inserting a kinetic model into a theory of antibody aggregation as presented by Dembo and Golstein (Histamine release due to bivalent penicilloyl haptens. 1978. J. Immunol. 121, 345). Fitting of this model to the fluorescence titrations yielded dissociation rate constants of 7.8 x 10(-3) s-1 and 6 x 10(-3) s-1 for the Fab dimers formed by the flexible divalent haptens N alpha, N epsilon-di(dinitrophenyl)-L-lysine (gamma = 16 A) and bis(N beta-2,4-dinitrophenyl-alanyl)-meso-diamino-succinate (gamma = 21 A). Making the simplifying assumption that a single step binding equilibrium prevails, the corresponding dimer formation rate constants were calculated to be 1.9 x 10(5) M-1 s-1 and 1.1 x 10(4) M-1 s-1, respectively. In contrast, all haptens with spacers longer than 40 A (i.e., bis(N alpha-2,4-dinitrophenyl-tri-D-alanyl)-1,7-diamino-heptane, and di(N epsilon-2,4-dinitrophenyl)-6-aminohexanoate-aspartyl-(prolyl)n-L-l ysyl (n = 24, 27, 33) exhibit a relative fast dimerization rate of the Fab fragments (greater than 7 x 10(6) M-1 s-1). These observations were interpreted as being caused by orientational constraints set by the limited solid angle of the reaction between the macromolecular reactants. Thus, ligands having better access to the binding site would react faster.

Dimerization kinetics of the IgE-class antibodies by divalent haptens. II. The interactions between intact IgE and haptens

Interactions between a monoclonal, DNP-specific IgE molecules (hybridoma A2) and divalent DNP-haptens in solution cause aggregation of the former predominantly into closed rings of two IgE and two divalent haptens (Schweitzer-Stenner, R., A. Licht, I. Lüscher, and I. Pecht. 1987. Biochemistry. 26:3602-3612). The time course of this process was now investigated by titrating the A2-IgE with divalent DNP-haptens having long and rigid oligoproline spacers (di(N epsilon-2,4-dinitrophenyl)-6-amino-hexanoate-aspartyl-(prolyl)n-L-ly- syl; n = 24, 27, 33). Binding was expressed in quenching of the IgE intrinsic tryptophan emission. As shown in the preceding paper, hapten addition to the IgE-A2 at rates faster than a distinct threshold value led to nonequilibrium titrations (NETs) from which kinetic processes slower than 2 s-1 can be resolved. Analysis of these titrations shows that the dimeric rings open at rates of approximately 10(-2) s-1, independent of the divalent hapten's spacer length. The ring closure rate, however, decreases with spacer length. The latter observation was qualitatively rationalized in terms of the diffusion process of a Gaussian chain which relates the ring closure rate constant to the expectation value for the distance between the free ends of the respective open chain.

Characterization of interactions involving anti-metatype antibodies and immune complexes

Immunizations of high affinity anti-fluorescein monoclonal antibody 4-4-20 affinity labeled with fluorescein 5-isothiocyanate into a rabbit elicited antibodies specific for the liganded conformation of 4-4-20 (termed "anti-metatype" antibodies). Reaction of liganded 4-4-20 with anti-metatype antibodies caused significant delay (up to 23-fold) in the rate of dissociation of fluorescein ligand from the active site. In this study, structural analogues of fluorescein, including fluorescein 5-isothiocyanate, fluorescein 6-isothiocyanate, 5-dichlorotriazinyl aminofluorescein and 5-carboxyfluorescein, were bound by monoclonal antibody 4-4-20 and anti-metatype antibody reactivity was observed through delay in the dissociation rate of ligand from Mab 4-4-20. Significant delays (ranging from 5- to 242-fold) were observed for all structural analogues examined indicating that 4-4-20 maintained similar but not necessarily identical conformations upon binding fluorescein structural analogues. Additionally, fluorescein 5-isothiocyanate and fluorescein 6-isothiocyanate were conjugated to carrier molecules of increasing mol. wt (ranging from 225 to 14,600 D) in an attempt to sterically interfere with "metatopes" at the mouth of the active site and localize regions of anti-metatype antibody binding. These fluorescein-conjugated compounds were reacted with 4-4-20, and binding of anti-metatype antibodies delayed dissociation rates from 24- to greater than 1500-fold. These results indicated that the mechanism whereby anti-metatype antibodies delay the release of fluorescyl ligands from the active site probably does not solely involve steric hindrance of the ligand due to binding of anti-metatype antibodies at the mouth of the active site. Studies with 4-4-20 Fab fragments and a single chain derivative of 4-4-20 (consisting of the variable regions tethered by a 14 amino acid linker) indicated that anti-metatype reactivity was specific for the immunoglobulin variable region.