C1q binding to antibody-coated cells: predictions from a simple multivalent binding model

Steric effects on multivalent ligand-receptor binding: exclusion of ligand sites by bound cell surface receptors

Steric effects can influence the binding of a cell surface receptor to a multivalent ligand. To account for steric effects arising from the size of a receptor and from the spacing of binding sites on a ligand, we extend a standard mathematical model for ligand-receptor interactions by introducing a steric hindrance factor. This factor gives the fraction of unbound ligand sites that are accessible to receptors, and thus available for binding, as a function of ligand site occupancy. We derive expressions for the steric hindrance factor for various cases in which the receptor covers a compact region on the ligand surface and the ligand expresses sites that are distributed regularly or randomly in one or two dimensions. These expressions are relevant for ligands such as linear polymers, proteins, and viruses. We also present numerical algorithms that can be used to calculate steric hindrance factors for other cases. These theoretical results allow us to quantify the effects of steric hindrance on ligand-receptor kinetics and equilibria.

Cold target competition analysis of the classical activation pathway of complement-mediated cytotoxicity: a non-interaction model for competing lysis

A mathematical analysis of cold target competition experiments of complement-mediated lysis is presented, aimed at developing a minimal model of lysis where no interaction between the competing populations of sensitized blood group A and B erythrocytes is presumed. The model is able to predict the extent of lysis from the input values with remarkable accuracy suggesting that under the conditions used no stimulation and/or inhibition of the lysis of the sensitized erythrocytes occurs. The distribution of complement between the competing A and B erythrocyte populations is approximated by the model and found to be proportional to the 5th and 4th power of the ratios of the antibody and target cell concentrations, respectively. In accordance with earlier observations, suggesting that the interaction between the antibody and the C1q molecules is based on polar electrostatic charges, we propose that the sensitizing antibody provides an electrostatic field around the erythrocytes which attracts C1q molecules towards their membranes.

Regulation of antibody production mediated by Fc gamma receptors, IgG binding factors, and IgG Fc-binding autoantibodies

Fc receptors (FcRs) are immunoglobulin-binding structures that enable antibodies to perform a variety of functions by forming connections between specific recognition and effector cells. Besides eliciting cytotoxicity, inducing secretion of mediators and endocytosis of opsonized particles, FcRs are involved in the regulation of antibody production, both as integral membrane proteins and as soluble molecules released from the cell surface. Most FcRs belong to the same family of proteins as their ligands (immunoglobulin superfamily). This review contains recent data obtained by use of monoclonal antibodies and cloning studies on FcRs and FcR-like molecules. The importance of fine specificity of receptor binding site(s)--that of the conformation of FcRs and their ligands in triggering signaling mechanisms--is analyzed. The regulatory function of membrane-bound and -released FcRs; the correlation between cell cycle, FcR expression, and release; as well as the possible mechanisms of these phenomena are discussed.

Detection of a high-affinity binding site for the globular head regions of the C1q complement protein on a human diploid fibroblast subtype

A cultured fibroblast subtype with growth and synthetic properties expected of cells residing in healing wounds and in inflammatory lesions binds the Clq component of complement with a functional affinity much higher than that of the remaining cell population. In this study we examined the optimal conditions that favor the interaction between purified 125I-labeled Clq and this cell subtype, following its isolation from the parent culture using a cell sorter, and assessed the biologic consequences of binding. Binding of 125I-Clq to the cell surface is specific, saturable and reversible. It is maximal between pH 5.5 and 8.5 at an ionic strength of mu = 0.10 and decreases as a function of increasing salt concn, with half saturation near physiologic ionic strength. Scatchard analysis of binding data indicates a single class of sites with an average association constant in the order of 1.5 x 10(9)/M and an average number of 2.5 x 10(6) binding sites per cell. Unlabeled globular fragments of Clq inhibit intact 125I-Clq binding by 64%, while unlabeled collagen-like fragments have no effect. Thus it appears that binding of Clq to this high-affinity site is mediated by a region of the globular domain of the molecule. Only the fibroblast subtype with binding sites for the globular domain of Clq appear to have the capacity to induce non-immune activation of the classical complement cascade, as assessed by the generation of C4a and C4d fragments in normal AB serum following exposure to the cells. This activation may generate products that account for a previously reported complement mitogenicity for fibroblasts.

Activation of complement by soluble IgG aggregates and their subsequent interaction with macrophages

The mononuclear phagocyte system (MPS) plays an important role in the removal of both particulate and soluble immunogenic material from the circulation. E.IgG adhere to mononuclear phagocytes if the Fc portion of the IgG can interact with the phagocytes' Fc receptors. Simultaneous sensitization with IgG and C3b enhances the effectiveness of binding and ingestion. If soluble material cannot adhere to the surface of macrophages, it will be endocytosed in vitro via fluid-phase pinocytosis at the concentration that is present in the medium. If the material adheres to the cell's surface via its chemical properties or via specific receptors, it will be selectively concentrated at the cell's surface and endocytosed by an adsorptive pinocytosis. Ingestion of IC via Fc gamma R and C3b depends on the ability of the antibodies to interact with Fc gamma R and their capacity to activate the complement system. IC-bound C3b enhances the adsorptive pinocytosis of IC. Soluble AIgG are also pinocytosed more efficiently when C3b is bound to AIgG. The degree of endocytosis varies with the level of C3b sensitization. The highly effective C3b-mediated pinocytosis can be abolished by treating the macrophages with trypsin to inactivate C3bR. This observation illustrates that C3-mediated pinocytosis can replace Fc-mediated pinocytosis in unstimulated macrophages. Soluble IC and AIgG are removed from the circulation mainly by hepatic Kupffer cells. It seems that the size, the Ag/Ab ratio, the capacity of the IC to bind C1, activate C1, and allow deposition of C3b together with the degree of phagocyte activation determine the degree of binding and subsequent degradation of soluble IC.(ABSTRACT TRUNCATED AT 250 WORDS)

Binding of complement component C1q by rat adipocyte membranes

Human C1q was found to bind to rat adipocyte membranes with an affinity comparable to that for aggregated immunoglobulin. The binding was ionic strength dependent, and modification of arginyl and histidyl residues in C1q abrogated its binding activity. Treatment of the adipocyte membranes with either high ionic strength buffers, EDTA or trypsin had little effect on their C1q-binding activity.

Binding and activation of the first complement component by soluble immune complexes: effect of complex size and composition

The interaction between soluble immune complexes and the first component of complement (C1) was studied. Complexes were prepared from purified bovine thyroglobulin (BTg) or tetanus toxoid (TT) and immunospecific IgG antibodies. Purified human precursor C1 was incubated with dilutions of the preparations, and the inhibition of C1 haemolytic activity was determined as a measure of C1-binding. The activation of C1 was assessed by measuring the amount of C4 consumed by generated C1. The molar antibody/antigen (Ab/Ag) ratio of BTg--anti-BTg mixtures strongly influenced their C1-binding and C1-activating capacities: mixtures with high Ab/Ag ratios were by far the most efficient. On the other hand, the Ab/Ag ratio had only a limited influence on the activity of TT--anti-TT complexes. The effect of complex size was investigated by ultracentrifugation of antibody-antigen mixtures on calibrated sucrose density gradients followed by C1-binding and -activation experiments with the fractions obtained. For both types of immune complex, the C1-binding and -activating capacities increased markedly with increasing complex size. Thus, both the size and the Ab/Ag ratio of soluble immune complexes influence their capacity to activate the classical complement pathway. The effect of the Ab/Ag ratio, however, may also be dependent on the antigen molecule(s) present in the complexes.

The role of non-immune IgG in controlling IgG-mediated effector functions

The majority of evidence supports the conclusion that IgG-dependent effectors respond to antibodies which have been polymerized artificially or by polyvalent antigens, but not to monomeric IgG antibodies. Effectors can distinguish polymerized IgG antibodies from monomeric IgG because they contain multiple receptor units and can interact multivalently with polymerized IgG. However, monomeric IgG is present at very high concns in plasma and interstitial fluids and will inhibit multivalent interactions in vivo between polymerized antibody and effectors. Such inhibition raises the question of how IgG-mediated effector responses could function in vivo. In this review we present a mathematical model which quantitatively predicts how polyvalent ligands interact multivalently with receptors in the presence of excess monovalent ligand. We then show that results from experiments in vitro using such diverse systems as the binding and endocytosis of immune complexes by macrophages, complement-mediated lysis of antibody-coated target cells, and ADCC can be explained qualitatively by the model. We conclude that monomeric IgG does not totally inhibit IgG-mediated effector functions but, rather, raises the threshold of antibody binding which is required to elicit a response. We then consider how non-immune IgG may serve as a homeostatic regulator of IgG-dependent responses, in vivo, perhaps for the purpose of inhibiting responses to low levels of cell-bound IgG autoantibodies.

Membrane fluidity and the probability of complement fixation

We develop a mathematical theory of the role of membrane fluidity in the initiation of the IgG mediated complement cascade. The basic assumption is that C1q must be at least doubly bound to activate C1r, but that once C1q is doubly bound, C1r still requires some mean finite time tau to become enzymatically active. If C1q dissociates during this time interval, C1r cannot be activated. We consider the consequences of the simplest model of fluidity--one in which the difference between "fluid phase" lipids and "non-fluid phase" lipids is to allow protein mobility, but not a change in protein conformation. We show that under these conditions fluidity will effect C1r activation only if the rate of formation of multiply bound C1q is limited by diffusion in the membrane. If diffusion in the membrane is not rate-limiting, then, within the framework of this model, fluidity has no effect whatsoever on C1r activation. Thus, an experimental determination that C1q binding is not rate-limited by diffusion in the surface, but that fluidity does effect activation, would suggest a protein conformational change resulting perhaps from altered lipid composition. If diffusion in the surface does rate limit multiple C1q binding, we predict the possibility of an optimum diffusion coefficient for activation. For suitably chosen and reasonable parameter values this optimum will occur in the range (10(-11) less than or equal to D less than or equal to 10(-8) cm2/sec. We predict further, under these circumstances, a precipitous drop in the probability of activation above the optimum. The abrupt switch from a high probability of activation to essentially no probability of activation suggests the possibility of a very sensitive control mechanism exploitable by relatively small changes in membrane lipid composition.