Studies of macromolecular heterogeneous associations involving cross-linking: a re-examination of the ovalbumin-lysozyme system

A system is considered in which a multivalent acceptor interacts with a bivalent ligand in solution to form an array of complexes via multiple binding and cross-linking reactions. With the use of reacted site probability functions expressions are derived in terms of a site binding constant which are of potential use in the interpretation of sedimentation equilibrium and binding results obtained with such systems. Their potential use is explored in relation to results obtained on the interacting ovalbumin-lysozyme system at pH 6.80, ionic strength 0.02. A comparison is made of this interpretation with that based on an interaction pattern involving only multiple binding of ligand in the absence of cross-linking effects. While both interpretations quantitatively describe certain results, it is shown, by invoking further experimental observations on apparent weight-average molecular weight and precipitation behavior, that the more favored interpretation is that involving the operation of a spectrum of forces leading to a large array of ovalbumin-lysozyme complexes, including those of the cross-linked type. It is stressed that the particular ovalbumin-lysozyme system is but one example of interaction between oppositely charged macromolecules and therefore that the derived equations may find wider application to such systems and those known to involve more specific cross-linking interactions.     

Ligand loading at the surface of an optical biosensor and its effect upon the kinetics of protein–protein interactions

Optical biosensors are finding increasing use in the determination of kinetic and equilibrium constants for a variety of biomolecular interactions. Usually these biosensors require one biomolecule, the ligand, to be covalently attached to a hydrogel matrix which itself is bonded to the sensing surface. The ligands partner, the ligate, then binds from solution resulting in a measurable change in response which the instrument records as a function of time. Although in many cases, optical biosensors are used in order to obtain parameters that relate to interactions in solution, it is becoming clear that measurements involving the interaction of ligate with immobilized ligands on surfaces require careful experimental design. Here we report on how the density of ligand loading within the hydogel matrix affects the measured interaction kinetics. It is found that crowding of ligand within this matrix results in a significant reduction in the measured association rate constant, with a corresponding effect in the calculated overall affinity. However, measurements at low ligand loadings show association rate constants that are comparable to those measured in solution. Clearly, where this comparison is required, it is important to perform measurements under such conditions. © 1997 John Wiley & Sons, Ltd.     

Ligand/receptor internalization: a spectroscopic analysis and a comparison of ligand binding, cellular response, and internalization by human neutrophils

We have compared the kinetics of the responses of neutrophils to the kinetics of ligand-receptor interaction and internalization, using as a model ligand the fluoresceinated hexapeptide N-CHO-Nle-Leu-Phe-Nle-Tyr-Lys-Fluorescein (Nle, norleucine). Cellular responses, ie, membrane depolarization, enzyme (elastase) secretion, and superoxide anion (O-2) generation, are all initiated within 10 sec of the exposure of cells to stimulus. In the cases of membrane depolarization and secretion (in cytochalasin B-treated cells), full responses are elicited by binding which occurs within 15 sec of peptide addition. Ligand binding and internalization have been analyzed over the same time frame with new spectroscopic techniques. The association of ligand and receptor is monitored using an antibody to fluorescein. The antibody to fluorescein specifically quenches the ligand which is in solution, but receptor-bound ligand is inaccessible to the antibody. The internalization of the receptor-bound ligand is monitored by the accessibility of the fluoresceinated peptide to quenching by an external pH change (7.4 leads to 4.0). Ligand which is either outside or on the cell surface is instantaneously quenched while intracellular peptide (or intracellular fluorescein derived from fluorescein diacetate) is only slowly quenched. No internalization is observed until 1 min after binding begins and internalization proceeds at a rate of up to 5,000 receptors/min/cell following a near optimal stimulatory ligand concentration (approximately 1 nM) while the occupied receptors are being cleared from the surface. A comparison of the kinetics of internalization and the cellular responses suggests that internalization of the ligand is too slow to be involved in the triggering of the cellular responses.     

Autocrine ligand binding to cell receptors. Mathematical analysis of competition by solution "decoys".

Autocrine ligands have been demonstrated to regulate cell proliferation, cell adhesion, and cell migration in a number of different systems and are believed to be one of the underlying causes of malignant cell transformation. Binding of these ligands to their cellular receptors can be compromised by diffusive transport of ligand away from the secreting cell. Exogenous addition of antibodies or solution receptors capable of competing with cellular receptors for these autocrine ligands has been proposed as a means of inhibiting autocrine-stimulated cell behavioral responses. Such "decoys" complicate cellular binding by offering alternative binding targets, which may also be capable of aiding or abating transport of the ligand away from the cell surface. We present a mathematical model incorporating autocrine ligand production and the presence of competing cellular and solution receptors. We elucidate effects of key system parameters including ligand diffusion rate, binding rate constants, cell density, and secretion rate on the ability of solution receptors to inhibit cellular receptor binding. Both plated and suspension cell systems are considered. An approximate analytical expression relating the key parameters to the critical concentration of solution "decoys" required for inhibition is derived and compared to the numerical calculations. We find that in order to achieve essentially complete inhibition of surface receptor binding, the concentration of decoys may need to be as much as four to eight orders of magnitude greater than the equilibrium disociation constant for ligand binding to surface receptors.     

Competition between solution and cell surface receptors for ligand. Dissociation of hapten bound to surface antibody in the presence of solution antibody.

We present a joint theoretical and experimental study on the effects of competition for ligand between receptors in solution and receptors on cell surfaces. We focus on the following experiment. After ligand and cell surface receptors equilibrate, solution receptors are introduced, and the dissociation of surface bound ligand is monitored. We derive theoretical expressions for the dissociation rate and compare with experiment. In a standard dissociation experiment (no solution receptors present) dissociation may be slowed by rebinding, i.e., at high receptor densities a ligand that dissociates from one receptor may rebind to other receptors before separating from the cell. Our theory predicts that rebinding will be prevented when S much greater than N2Kon/(16 pi 2D a4), where S is the free receptor site concentration in solution, N the number of free surface receptor sites per cell, Kon the forward rate constant for ligand-receptor binding in solution, D the diffusion coefficient of the ligand, and a the cell radius. The predicted concentration of solution receptors needed to prevent rebinding is proportional to the square of the cell surface receptor density. The experimental system used in these studies consists of a monovalent ligand, 2,4-dinitrophenyl (DNP)-aminocaproyl-L-tyrosine (DCT), that reversibly binds to a monoclonal anti-DNP immunoglobulin E (IgE). This IgE is both a solution receptor and, when anchored to its high affinity Fc epsilon receptor on rat basophilic leukemia (RBL) cells, a surface receptor. For RBL cells with 6 x 10(5) binding sites per cell, our theory predicts that to prevent DCT rebinding to cell surface IgE during dissociation requires S much greater than 2,400 nM. We show that for S = 200-1,700 nM, the dissociation rate of DCT from surface IgE is substantially slower than from solution IgE where no rebinding occurs. Other predictions are also tested and shown to be consistent with experiment.     

Waves on the cell surface

A new theoretical model is presented which describes dynamics of interaction between the plasmic membrane, cell cortex and cytoplasmic liquid. Analysis of the equation system describing this interaction has shown that besides the uniform solution (corresponding to a flat cell surface) there exists the stable autowave solution (corresponding to standing or running harmonic waves along the cell surface). The latter solution can be related to the experimentally observed waves moving along the cell surface.     

Antibody interaction with a membrane-bound fluorescent ligand on synthetic lipid vesicles

The interaction of membrane-bound ligand with bivalent and monovalent fragments of monoclonal antibody was studied by fluorescence and precipitation analysis using synthetic lipid vesicles. The ligand N epsilon-[5-(dimethylamino)-naphthyl-1-sulfonyl]lysine was linked to the hydrophobic anchor dipalmitoylphosphatidylethanolamine and ranged between 0.01 and 1 mol% of the membrane components. The effects of cholesterol on the specific interaction were observed over the range of 0-50 mol%. A precipitation assay was developed to evaluate various factors related to the cross-linking of small unilamellar vesicles by bivalent antibody. The cholesterol content was critical for this process as demonstrated by the increased efficiency of precipitation over the range of 0-40 mol% of this component. Fluorescence analysis yielded the parallel finding of increased accessibility of the ligand to the antibody with greater cholesterol content. Increased surface density of the ligand also was found to enhance the intervesicle interaction. Finally, a comparison of the kinetics by fluorescence analysis of the binding of monovalent and bivalent fragments indicated that the bivalent interaction involved primarily the cross-linking of vesicles in accord with published findings of the interaction of monoclonal antibody with cell membrane antigens.     

Receptor-ligand binding in the cell-substrate contact zone: a quantitative analysis using CX3CR1 and CXCR1 chemokine receptors

Receptor-ligand binding analyses have generally used soluble components to measure thermodynamic binding constants. In their biological context, adhesion receptors bind to an immobile ligand and the binding reaction is confined to the cell-substrate contact zone. We have developed a new procedure based on the spinning disk technology to measure the number of receptor-ligand bonds in the contact zone. Application of this methodology to the CX3CR1-fractalkine and the CXCR1-IL-8 receptor-ligand systems demonstrated that the level of binding to an immobilized ligand is reduced by several orders of magnitude in comparison to solution binding. A comparison of the solution binding and contact zone binding constants shows that the effect of ligand immobilization was similar for each system. In contrast, although the CXCR1-IL-8 bond had the higher affinity, the average bond strength was only 10% of that for the CX3CR1 bond. Because fractalkine can be expressed as a cell surface-bound protein, CX3CR1 has been proposed to function as an adhesion receptor. The higher bond strength suggests that the bond architecture has also evolved to serve an adhesion function.     

An automated continuous-flow dynamic dialysis technique for investigating protein-ligand binding

An automated, continuous-flow dynamic dialysis technique has been developed to investigate protein-ligand binding. The method depends on a comparison of the diffusion of the low molecular mass ligand, in the presence and absence of protein, through a semipermeable membrane. The ligand passes from the sample compartment of a dialysis cell into the sink compartment through which a constant flow of eluting buffer is maintained. Digitized spectrophotometric determinations of the ligand concentration in the eluting buffer at successive, equally spaced time intervals, punched onto paper tape, provide the primary data (normally about 1000 data points). A mathematical treatment of the data based on a model of the diffusion system, whereby the protein-ligand binding isotherm may be evaluated, is discussed. The validity of the method is demonstrated from studies of the binding of phenol red to bovine serum albumin (BSA) at 15, 20, and 25°C. The method yields a large number of points on the binding isotherm (usually several hundred) which, in terms of a Scatchard model, provide values for the number of binding sites on the BSA molecule and binding constants for the phenol red-BSA interaction. The results obtained are consistent with values reported in the chemical literature but which are based on much scantier data.     

Activation-induced cell death: the controversial role of Fas and Fas ligand in immune privilege and tumour counterattack

Activation-induced cell death (AICD) is the process by which cells undergo apoptosis in a controlled manner through the interaction of a death factor and its receptor. Programmed cell death can be induced by a number of physiological and pathological factors including Fas (CD95)-Fas ligand (FasL/CD95L) interaction, tumour necrosis factor (TNF), ceramide, and reactive oxygen species (ROS). Fas is a 48-kDa type I transmembrane protein that belongs to the TNF/nerve growth factor receptor superfamily. FasL is a 40-kDa type II transmembrane protein that belongs to the TNF superfamily. The interaction of Fas with FasL results in a series of signal transductions which initiate apoptosis. The induction of apoptosis in this manner is termed AICD. Activation-induced cell death and Fas-FasL interactions have been shown to play significant roles in immune system homeostasis. In this review the involvement of Fas and Fas ligand in cell death, with particular reference to the T cell, and the mechanism(s) by which they induce cell death is described. The role of AICD in immune system homeostasis and the controversy surrounding the role of FasL in immune privilege, inflammation, and so-called tumour counterattack is also discussed.     

Thermodynamic model of cooperativity in a dimeric protein: unique and independent parameters formulation.

A model of the cooperative interaction of ligand binding to a dimeric protein is presented based upon the unique and independent parameters (UIP) thermodynamic formulation (Gutheil and McKenna, Biophys. Chem. 45 (1992) 171-179). The analysis is developed from an initial model which includes coupled conformational and ligand binding equilibria. This completely general model is then restricted to focus on conformationally mediated cooperative interactions between the ligands and the expressions for the apparent ligand binding constant and the apparent ligand-ligand interaction constant are derived. The conditions under which there is no cooperative interaction between the ligands are found as roots to a polynomial equation. Consideration of the distribution of species among the various conformational states in this general model leads to a set of inequalities which can be represented as a two dimensional plot of boundaries. By superimposing a contour plot of the value of the apparent ligand-ligand interaction constant over the plot of boundaries a complete graphical representation of this system is achieved similar to a phase diagram. It is found that the parameter space homologous to Koshland-Nemethy-Filmer type of model is most consistent with both positive and negative cooperativity in this model. The maximal amount of positive and negative cooperativity are found to be simple functions of Kc, the equilibrium constant associated with the change of a subunit and ligand from the unligated to ligated conformation. It is shown that under certain limiting conditions the apparent allosteric interaction between ligands is equal to the conformational interaction between subunits. The methods presented are generally applicable to the theoretical analysis of thermodynamic interactions in complex systems.     

剪切流动法研究表面固定化配基与目标分子的相互作用力

基于剪切流动腔技术,以微球作为受力载体,设计了一套可用于研究表面固定化配基与目标分子特异性相互作用力的实验和分析方法,并以人免疫球蛋白 G (human IgG) 和羊抗人免疫球蛋白 G (goat anti-human IgG) 分别作为模型配基和模型目标分子进行了研究 . 基于平面 Poiseuille 层流模型设计了流场参数,以数值计算结果验证了设计的合理性 . 使用牛血清白蛋白 (BSA) 作为非特异性对照,判断微球与基片表面的结合力来自配基和目标分子的生物特异性相互作用,并由进一步的目标分子灭活对比实验确认了这一结论 . 实验观察到微球与基片表面的结合力受到配基面密度的影响,说明发生结合的是多对而非单对蛋白质分子 . 将 95 ％的微球被剥离时对应的壁面剪切率设定为临界剪切率,由大量实验结果拟合得到了临界剪切率与配基面密度间的定量关系 . 在受力分析模型中,考虑到多分子的结合,以及分子键位置不同造成的力臂长度的差异,最终计算得到单对配基与目标分子的平均结合力约为 342pN.     

Stopped-flow studies of guanine binding by calf spleen purine nucleoside phosphorylase

The binding of guanine to calf spleen purine nucleoside phosphorylase at 20 degrees C, in 20 mM Hepes-NaOH buffer, pH 7.0, at several ionic strength between 5 and 150 mM was investigated using a stopped-flow spectrofluorimeter. The kinetic transients registered after mixing a protein solution with ligand solutions of different concentrations were simultaneously fitted by several association reaction models using nonlinear least-squares procedure based on numerical integration of the chemical kinetic equations appropriate for given model. It is concluded that binding of a guanine molecule by each of the binding sites is a two-step process and that symmetrical trimeric calf spleen purine nucleoside phosphorylase represents a system of (identical) interacting binding sites. The interaction is visible through relations between the rate constants and non-additivity of changes in "molar" fluorescence for different forms of PNP-guanine complexes. It is also probable that electrostatic effects in guanine binding are weak, which indicates that it is the neutral form of the ligand which is bound and dissociated by PNP molecule.     

A dynamical model for receptor-mediated cell adhesion to surfaces in viscous shear flow

We present a dynamical model for receptor-mediated cell adhesion to surfaces in viscous shear flow when the surfaces are coated with ligand molecules complementary to receptors in the cell membrane. This model considers the contact area between the cell and the surface to be a small, homogeneous region that mediates the initial attachment of the cell to the surface. Using a phase plane analysis for a system of nonlinear ordinary differential equations that govern the changes in free receptor density and bond density within the contact area with time, we can predict the conditions for which adhesion between the cell and the surface will take place. Whether adhesion occurs depends on values of dimensionless quantities that characterize the interaction of the cell and its receptors with the surface and its ligand, such as the bond formation rate, the receptor-ligand affinity, the fluid mechanical force, the receptor mobility, and the contact area. A key result is that there are two regimes in which different chemical and physical forces dominate: a rate-controlled high affinity regime and an affinity-controlled low affinity regime. Many experimental observations, including the effects of temperature and receptor mobility on adhesiveness, can be explained by understanding which of these regimes is appropriate. We also provide simple approximate analytical solutions, relating adhesiveness to cell and surface properties as well as fluid forces, which allow convenient testing of model predictions by experiment.     

Real-time kinetic analysis of hCG–monoclonal antibody interaction using radiolabeled hCG probe: presence of two forms of Ag–mAb complex as revealed by solid phase dissociation studies

Real-time kinetics of ligand–ligate interaction has predominantly been studied by either fluorescence or surface plasmon resonance based methods. Almost all such studies are based on association between the ligand and the ligate. This paper reports our analysis of dissociation data of monoclonal antibody-antigen (hCG) system using radio-iodinated hCG as a probe and nitrocellulose as a solid support to immobilize mAb. The data was analyzed quantitatively for a one-step and a two-step model. The data fits well into the two-step model. We also found that a fraction of what is bound is non-dissociable (tight-binding portion (TBP)). The TBP was neither an artifact of immobilization nor does it interfere with analysis. It was present when the reaction was carried out in homogeneous solution in liquid phase. The rate constants obtained from the two methods were comparable. The work reported here shows that real-time kinetics of other ligand–ligate interaction can be studied using nitrocellulose as a solid support.     

Consequences of ligand bivalency in interactions involving particulate receptors: equilibrium and kinetic studies with Sephadex-concanavalin A, butylagarose-phosphorylase b, and Fc receptor-IgG dimer interactions as model systems

Theoretical consideration is given to the interaction of a bivalent ligand with particulate receptor sites, not only from the viewpoint of quantitatively describing the binding behavior but also from that of the kinetics of ligand release upon infinite dilution of a receptor-ligand mixture. In the latter regard, a general expression is derived that describes the time dependence of the amount of ligand bound as a function of two rate constants for the stepwise dissociation of cross-linked ligand-receptor complex and a thermodynamic parameter expressing the initial ratio of singly linked to doubly linked ligand-receptor complexes. An experimental study of the interaction between Sephadex and concanavalin A is then used to illustrate application of this recommended theoretical approach for characterizing the binding behavior and dissociation kinetics of a bivalent ligand for a system in which all ligand-receptor interactions may be described by a single intrinsic association constant. Published results on the interaction of phosphorylase b with butylagarose are also shown to comply with this simplest model of the bivalent ligand hypothesis; but those for the interaction between immunoglobulin G (IgG) dimers and Fc receptors require modification of the model by incorporation of different intrinsic association constants for the successive binding of receptor sites to the bivalent ligand. These results emphasize the need to consider ligand bivalency as a potential phenomenon in studies of interactions between protein ligands and particulate receptors and illustrate procedures by which the effects of ligand bivalency may be identified and characterized.     

Binding kinetics of soluble ligands to transmembrane proteins: comparing an optical biosensor and dynamic flow cytometry

BACKGROUND: The kinetics of protein-protein interactions can be monitored with optical biosensors based on the principles of either surface plasmon resonance or mirror resonance. These methods are straightforward for soluble proteins, but not for proteins inserted in the plasma membrane. METHODS: We monitored with an IASys biosensor system, based on a resonant mirror: (1) the binding of cells to an immobilized ligand, (2) the binding of a soluble ligand to immobilized cells, and (3) the binding of a soluble ligand to immobilized plasma membrane vesicles. For comparison, the kinetics of fluorescent antibody binding to intact cells were measured by dynamic flow cytometry. RESULTS: With an optical biosensor, the useful configuration is the one based on immobilized plasma membrane vesicles. However, signals can be detected only for very abundant binding sites (>10(6) per cell). Dynamic flow cytometry allows the accurate determination of the k(on) and k(off) of antibody binding. The sensitivity of the method is two orders of magnitude better than with an optical biosensor. CONCLUSIONS: Although biosensors constitute a method of choice for measuring the interactions between soluble proteins, they are not well suited for measuring the interaction between soluble proteins and membrane-embedded proteins. On the contrary, flow cytometry is well suited for such an application, when it is used in a dynamic mode.     

Time-dependent ligand current into a saturating cell performing chemoreception

We determine the ligand current into a single spherical cell whose receptors become permanently blocked after binding ligands. Initially the cell is placed in a medium which contains ligands at uniform concentration. The analytical solution for the ligand distribution is obtained in terms of an integral over the solution at the cell surface. For the solution at the cell surface a nonlinear integral equation is derived which is solved numerically. We determine the time-dependent ligand current into the cell and the average number of free receptors in the cell surface as a function of time.     

Co-operative ligand binding in a protein composed of subunits

The mechanism of the co-operative ligand binding in a protein composed of subunits is studied on a realistic assumption that the strain energy due to the ligand binding is stored in weak contacts between the subunits. In a pair of subunits, which is the minimum co-operative unit, two competitive mechanisms operate; the expansion or contraction of the weak contacts results in negative co-operativity, and positive co-operativity can be produced by the alternation of the contacts.Emphasizing the above role of the weak contacts, and taking into account the widespread interaction which correlates the alternation of the contacts in one interface of subunits with that in another interface, we construct a general partition function to describe the co-operative effects in proteins composed of more than two subunits. The partition function thus obtained includes those of the two allosteric models (Monod, Wyman & Changeux, 1965; Koshland, Nemethy & Filmer, 1966) in the two extreme cases of the strength of the widespread interaction.The partition function is applied to the analysis of the molecular mechanism of heme-heme interaction by the curve fitting to the experimental data for hemoglobin solution under various conditions. The comparison of the parameter values thus determined with the molecular structure leads us to one interpretation that the widespread interaction originates from contact connecting three subunits. This interpretation suggests that the strength of the widespread interaction can be changed by modification of an amino acid residue in the intermediate subunit, and that this interaction plays an essential role in the manifestation of the co-operativity. The reduced co-operativity in mutant hemoglobins can also be explained along these lines.