The mobile receptor hypothesis and “cooperativity” of hormone binding. Application to insulin

The mobile receptor hypothesis has been proposed to describe the process by which hormone receptor binding initiates a biological response; it states that receptors, which can diffuse independently in the plane of the membrane, reversibly associate with effectors to regulate their activity. The affinity for effector is greater when the receptor is occupied by hormone.A mathematical expression of the mobile receptor hypothesis is used to show that: (1) The predicted kinetics of hormone receptor binding may be indistinguishable from “negative cooperativity”. (2) Receptor occupancy and biological response may be coupled in a non-linear fashion.By choosing specific parameters, most of the existing data on insulin binding and biological responses can be explained in terms of the mobile receptor hypothesis. Thus, the following are easily explained: (1) A single homogeneous receptor may appear kinetically to be composed of two classes (of high and low affinity) of receptors. (2) Occupancy of the apparent class of high affinity receptors is related linearly to the biological response. (3) The same receptor in different tissues may appear to have different affinity. (4) The binding of different biologically active insulin analogues may exhibit different degrees of “cooperatively.” These considerations may also be pertinent to intepretations of other hormone-receptor systems and of various ligand-macromolecule interactions.     

The mobile receptor hypothesis and "cooperativity" of hormone binding. Application to insulin.

The mobile receptor hypothesis has been proposed to describe the process by which hormone receptor binding initiates a biological response; it states that receptors, which can diffuse independently in the plane of the membrane, reversibly associate with effectors to regulate their activity. The affinity for effector is greater when the receptor is occupied by hormone. A mathematical expression of the mobile receptor hypothesis is used to show that: (1) The predicted kinetics of hormone receptor binding may be indistinguishable from "negative cooperativity." (2) Receptor occupancy and biological response may be coupled in a non-linear fashion. By choosing specific parameters, most of the existing data on insulin binding and biological responses can be explained in terms of the mobile receptor hypothesis. Thus, the following are easily explained: (1) A single homogeneous receptor may appear kinetically to be composed of two classes (of high and low affinity) of receptors. (2) Occupancy of the apparent class of high affinity receptors is related linearly to the biological response. (3) The same receptor in different tissues may appear to have different affinity. (4) The binding of different biologically active insulin analogues may exhibit different degrees of "cooperativity." These considerations may also be pertinent to interpretations of other hormone-receptor systems and of various ligand-macromolecule interactions.     

Analysis and Application of an Equilibrium Model forin vitroBioassay Systems with Three Components: Receptor, Hormone and Hormone-Binding-Protein

A simple theoretical framework is presented for bioassay studies using three componentin vitrosystems. An equilibrium model is used to derive equations useful for predicting changes in biological response after addition of hormone-binding-protein or as a consequence of increased hormone affinity. Sets of possible solutions for receptor occupancy and binding protein occupancy are found for typical values of receptor and binding protein affinity constants. Unique equilibrium solutions are dictated by the initial condition of total hormone concentration. According to the occupancy theory of drug action, increasing the affinity of a hormone for its receptor will result in a proportional increase in biological potency. However, the three component model predicts that the magnitude of increase in biological potency will be a small fraction of the proportional increase in affinity. With typical initial conditions a two-fold increase in hormone affinity for its receptor is predicted to result in only a 33% increase in biological response. Under the same conditions an 11-fold increase in hormone affinity for receptor would be needed to produce a two-fold increase in biological potency. Some currently used bioassay systems may be unrecognized three component systems and gross errors in biopotency estimates will result if the effect of binding protein is not calculated. An algorithm derived from the three component model is used to predict changes in biological response after addition of binding protein toin vitrosystems. The algorithm is tested by application to a published data set from an experimental study in anin vitrosystem (Limet al., 1990,Endocrinology127,1287–1291). Predicted changes show good agreement (within 8%) with experimental observations.     

Resistance to receptor-mediated degradation of a murine epidermal growth factor analogue (EGF-Val-47) potentiates its mitogenic activity

In most cell types two classes of epidermal growth factor (EGF) receptors can be found: a major class that binds EGF with relatively low affinity and a minor class that binds with very high affinity. Structure-function studies have shown that mutations at amino acid 47 in the EGF molecule severely reduce its affinity for the EGF receptor but do not cause preferential binding to one or the other subclass of receptors. Using three EGF derivatives with a mutation at amino acid 47 (Ser-47, Leu-37-Tyr-47, and Val-47), we have investigated the relative contribution of the two receptor subclasses to the EGF-dependent mitogenic response. We show that mitogenicity correlates exclusively with occupancy of the high-affinity receptor and that full occupancy of this subclass is required for maximal stimulation. In addition we demonstrate that for the EGF-Val-47 analogue this requirement can be abrogated and half-maximal biological activity reached with a high-affinity receptor occupancy of only 8%. While the rate of internalization did not significantly differ between EGF-Val-47 and native mEGF, the analogue was much more resistant to degradation by cellular proteases and, after binding and receptor-mediated internalization, was released into the medium predominantly in an intact form. We propose that the increased mitogenicity of EGF-Val-47 is due to its prolonged half-life, resulting in continued occupancy of the high-affinity EGF receptor.     

Probing the structure-function relationship of nerve growth factor

We compared the receptor binding, antigenicity, biological activation, and cell-mediated proteolytic degradation properties of mouse nerve growth factor (mNGF) and human NGF (hNGF). The affinity of hNGF toward human NGF-receptor is greater than that of mNGF, but the affinity of mNGF toward rat NGF-receptor is greater than that of hNGF. Thus, the specificity of the interaction between NGF and its receptor resides both on the NGF and on its receptor. Using a group of anti-NGF monoclonal antibodies that competitively inhibit the binding of NGF to receptor, sites differing between mNGF and hNGF were detected. Together, these results indicate that the sites on hNGF and mNGF, responsible for binding to NGF-receptor, are similar but not identical. In comparing the relative abilities of mNGF and hNGF to stimulate a biological response in PC12 cells, we observed that mNGF was better at stimulating neurite outgrowth than was hNGF, consistent with the differences observed for receptor binding affinity. However, the ED₅₀ for biological activation is approximately 100-fold lower than theK _d for receptor occupancy, and, thus, the dose-response curve is not consistent with a simple activation proportional to receptor occupancy. The data are consistent with a model requiring a low-level threshold occupancy of NGF-receptor (K _d=10^–9 M) in order to stimulate full biological activity. Finally, we observed the degradation of NGF by PC12 cells. We found that the NGF molecule is significantly degraded via a receptor-mediated uptake mechanism. Together, the data provide insight into regions of the NGF molecule involved in contacts with the receptor leading to formation of the NGF: NGF-receptor complex. Additionally, they establish the link between occupancy of receptor and biological activation and the requirement for receptor-mediated uptake in order to degrade NGF proteolytically in cultured PC12 cells.     

General thermodynamic considerations of receptor interactions.

Assuming that the biological response is directly proportional to the fractional degree of receptor occupancy, the mathematical relationships between free ligand concentration, receptor occupation and biological activity are developed for a number of equilibrium models. The models considered include simple 1:1 binding with and without conformational changes in the receptor, the coupled binding of two distinct effectors to a single macromolecule, and a system involving indirect coupling between two effectors that bind to two distinct components of the receptor system. This latter model is elaborated into the concept of a domain of receptor-enzyme pairs such that occupation of a single receptor may activate the entire domain of enzymes. This model can explain discrepancies between activation and binding isotherms as has been found with some beta-adrenergic agonist-sensitive adenylate cyclase systems.     

Roles of protein ubiquitination and degradation kinetics in biological oscillations

Protein ubiquitination and degradation play important roles in many biological functions and are associated with many human diseases. It is well known that for biochemical oscillations to occur, proper degradation rates of the participating proteins are needed. In most mathematical models of biochemical reactions, linear degradation kinetics has been used. However, the degradation kinetics in real systems may be nonlinear, and how nonlinear degradation kinetics affects biological oscillations are not well understood. In this study, we first develop a biochemical reaction model of protein ubiquitination and degradation and calculate the degradation rate against the concentration of the free substrate. We show that the protein degradation kinetics mainly follows the Michaelis-Menten formulation with a time delay caused by ubiquitination and deubiquitination. We then study analytically how the Michaelis-Menten degradation kinetics affects the instabilities that lead to oscillations using three generic oscillation models: 1) a positive feedback mediated oscillator; 2) a positive-plus-negative feedback mediated oscillator; and 3) a negative feedback mediated oscillator. In all three cases, nonlinear degradation kinetics promotes oscillations, especially for the negative feedback mediated oscillator, resulting in much larger oscillation amplitudes and slower frequencies than those observed with linear kinetics. However, the time delay due to protein ubiquitination and deubiquitination generally suppresses oscillations, reducing the amplitude and increasing the frequency of the oscillations. These theoretical analyses provide mechanistic insights into the effects of specific proteins in the ubiquitination-proteasome system on biological oscillations.     

Mechanism for ordered receptor binding by human prolactin

Prolactin, a lactogenic hormone, binds to two prolactin receptors sequentially, the first receptor binding at site 1 of the hormone followed by the second receptor binding at site 2. We have investigated the mechanism by which human prolactin (hPRL) binds the extracellular domain of the human prolactin receptor (hPRLbp) using surface plasmon resonance (SPR) technology. We have covalently coupled hPRL to the SPR chip surface via coupling chemistries that reside in and block either site 1 or site 2. Equilibrium binding experiments using saturating hPRLbp concentrations show that site 2 receptor binding is dependent on site 1 receptor occupancy. In contrast, site 1 binding is independent of site 2 occupancy. Thus, sites 1 and 2 are functionally coupled, site 1 binding inducing the functional organization of site 2. Site 2 of hPRL does not have a measurable binding affinity prior to hPRLbp binding at site 1. After site 1 receptor binding, site 2 affinity is increased to values approaching that of site 1. Corruption of either site 1 or site 2 by mutagenesis is consistent with a functional coupling of sites 1 and 2. Fluorescence resonance energy transfer (FRET) experiments indicate that receptor binding at site 1 induces a conformation change in the hormone. These data support an "induced-fit" model for prolactin receptor binding where binding of the first receptor to hPRL induces a conformation change in the hormone creating the second receptor-binding site.     

Thrombin receptors define responsiveness of cholesterol-modified platelets

The microviscosity of human platelet membranes was changed by incubating platelets with liposomes containing various ratios of cholesterol and lecithin. Binding of 125I-thrombin to the modified platelets was measured together with platelet aggregation and secretion. In cholesterol-normal platelets (mole ratio of cholesterol to phospholipid (C:PL) = 0.553; eta = 2.40 poise), weighted nonlinear least squares curve fitting indicated that a model involving two classes of sites was adequate to describe the binding isotherm (K1 = 8.3 X 10(8) M-1; R1 = 150 sites/platelet; K2 = 6.4 X 10(6) M-1; R2 = 16,000 sites/platelet). In cholesterol-enriched platelets (C:PL = 0.857; eta = 3.05 poise), the apparent affinities for the two classes of sites decreased to 55 and 53%, respectively, while the binding capacities increased to 170 and 160%, respectively. In contrast, in the cholesterol-depleted platelets (C:PL = 0.435; eta = 2.03 poise), the affinities increased to 220 and 180%, respectively, while the binding capacities decreased to 53 and 46%, respectively. In cholesterol-enriched, cholesterol-normal, and cholesterol-depleted platelets, the thrombin concentrations required for half-maximal aggregation were 0.17, 0.35, and 0.52 nM, respectively, while the values for half-maximal secretion of [14C]serotonin were 0.17, 0.40, and 0.55 nM, respectively. Plots of receptor occupancy versus biological response showed that maximum response in cholesterol-enriched, cholesterol-normal, and cholesterol-depleted platelets occurred with occupancy of 30, 50, and 70% of the high affinity sites, respectively. In all three treatment groups, occupancy of 40-50 high affinity sites results in 50% aggregation. These results show that (i) modification of platelet membrane microviscosity results in changes in the number and affinity of both high and low affinity thrombin receptors, (ii) the change in receptor number rather than affinity is the determinant for platelet responsiveness, and (iii) the changes in membrane microviscosity do not appear to alter the coupling between occupied receptor and subsequent bioresponse.     

Effects of ouabain and isoproterenol on potassium influx in the turkey erythrocyte. Quantitative relation to ligand binding and cyclic AMP generation

Studies have been carried out in the turkey erythrocyte to examine: (1) the influence of external K+ concentration on both [3H]ouabain binding and the sensitivity of potassium influx to inhibition by ouabain and (2) the quantitative relation between beta-adrenergic receptor site occupancy, agonist-directed cyclic AMP generation and potassium influx rate. Both [3H]ouabain binding and the ability of ouabain to inhibit potassium influx are markedly reduced at increasing external K+ concentrations, and at each K+ concentration the concentrations of ouabain required for half-maximal binding to the erythrocyte membrane and for half-maximal inhibition of potassium influx are identical. Both basal and isoproterenol-stimulated potassium influx rise with increasing external K+ concentrations. In contrast to basal potassium influx, which is 50-70% inhibitable by ouabain, the isoproterenol-stimulated component of potassium influx is entirely insensitive to ouabain. At all concentrations of K+, inhibition of basal potassium influx by ouabain is linear with ouabain binding, indicating that the rate of transport per unoccupied ouabain binding site is unaffected by simultaneous occupancy of other sites by ouabain. Similarly, the rate of isoproterenol-stimulated cyclic AMP synthesis is directly proportional to beta-adrenergic receptor occupany over the entire concentration-response relationship for isoproterenol, showing that at all levels of occupancy beta-adrenergic receptor sites function independently of each other. Analysis of the relation of catecholamine-dependent potassium transport to the number of beta-adrenergic receptor sites occupied indicates an extremely sensitive physiological system, in which 50%-maximal stimulation of potassium transport is achieved at less than 3% receptor occupancy, corresponding to fewer than ten occupied receptors per cell.     

Effects of ouabain and isoproterenol on potassium influx in the turkey erythrocyte: Quantitative relation to ligand binding and cyclic AMP generation

Studies have been carried out in the turkey erythrocyte to examine: (1) the influence of external K⁺ concentration on both [³H]ouabain binding and the sensitivity of potassium influx to inhibition by ouabain and (2) the quantitative relation between β-adrenergic receptor site occupancy, agonist-directed cyclic AMP generation and potassium influx rate. Both [³H]ouabain binding and the ability of ouabain to inhibit potassium influx are markedly reduced at increasing external K⁺ concentrations, and at each K⁺ concentration the concentrations of ouabain required for half-maximal binding to the erythrocyte membrane and for half-maximal inhibition of potassium influx are identical. Both basal and isoproterenol-stimulated potassium influx rise with increasing external K⁺ concentrations. In contrast to basal potassium influx, which is 50–70% inhibitable by ouabain, the isoproterenol-stimulated component of potassium influx is entirely insensitive to ouabain. At all concentrations of K⁺, inhibition of basal potassium influx by ouabain is linear with ouabain binding, indicating that the rate of transport per unoccupied ouabain binding site is unaffected by simultaneous occupancy of other sites by ouabain. Similarly, the rate of isoproterenol-stimulated cyclic AMP synthesis is directly proportional to β-adrenergic receptor occupancy over the entire concentration-response relationship for isoproterenol, showing that at all levels of occupancy β-adrenergic receptor sites function independently of each other.Analysis of the relation of catecholamine-dependent potassium transport to the number of β-adrenergic receptor sites occupied indicates an extremely sensitive physiological system, in which 50%-maximal stimulation of potassium transport is achieved at less than 3% receptor occupancy, corresponding to fewer than ten occupied receptors per cell.     

Hormone-induced conformational changes in the hepatic insulin receptor

The insulin receptor can exist in either a lower or a higher affinity state. Hormone binding alters the equilibrium between the two states of the insulin receptor, favoring the formation of that of higher affinity (Corin, R.E., and Donner, D.B. (1982), J. Biol. Chem. 257, 104-110). After brief or extended incubations with hormone, during which the fraction of higher affinity receptors increased, 125I-insulin was covalently coupled to the alpha subunits of its receptor using disuccinimidyl suberate. Some 125I-insulin remained bound to higher affinity receptors after dissociation of hormone from lower affinity sites. This hormone could also be covalently coupled to the alpha subunit of the receptor. During extended incubations between 125I-insulin and liver plasma membranes, components of the receptor were cleaved to yield degradation products of 120,000 and 23,000 Da. The significance of this process remains undetermined. Unoccupied insulin receptors were cleaved by trypsin to produce fragments of 94,000 and 37,000 Da which remained membrane-bound and could be covalently coupled to 125I-insulin. Trypsin treatment after binding yielded an additional receptor fragment of 64,000 Da. As the incubation time between 125I-insulin and membranes was lengthened, components of the receptor became progressively less sensitive to trypsin. Higher affinity binding sites isolated after release of rapid dissociating insulin were less sensitive to trypsin than were mixtures of higher and lower affinity receptors. These observations suggest that hormone binding produces two conformational changes (alterations of tryptic lability) in the hepatic insulin receptor. The first change is rapid and exposes parts of the receptor to tryptic degradation. The second, slower conformational change renders the receptor less sensitive to trypsin and occurs with the same time course as the increase of receptor affinity mediated by site occupancy.     

Endocytosis of follicle-stimulating hormone by ovarian granulosa cells: analysis of hormone processing and receptor dynamics

Suspensions of freshly isolated rat granulosa cells were used to study endocytosis and processing of radioiodinated ovine follicle-stimulating hormone (I-oFSH) and to analyze the dynamics of its receptor. Ovine FSH was iodinated to a specific activity of 26 microCi/micrograms as determined by radioreceptor self-displacement assays with maximum specific binding to excess membrane receptors of 46%. Radiolabeled oFSH was judged biologically equivalent to the unlabeled hormone since I-oFSH shows saturation-binding kinetics and stimulates steroidogenesis in a similar dose-related manner to unlabeled oFSH. Experiments designed to study the extent and time course of degradation involved continuous exposure of isolated granulosa cells to I-oFSH. Saturation of membrane receptors was achieved within 1.5 h of incubation, and internalization of FSH occurred in a linear manner for up to 6 h. The rate of internalization was equivalent to 2,780 FSH molecules/cell/h. Degradation of FSH became apparent after 6 h of incubation and increased to 86% of total cellular-associated radioactivity at 22 h. FSH degradation was inhibited by 100 microM chloroquine or 0.45 mM leupeptin. The measurement of cell surface I-oFSH binding in the combined presence of 100 microM chloroquine and 0.5 mM cycloheximide was unchanged for up to 22 h of incubation. This and other receptor binding data suggest that there is no reutilization of FSH receptors. Scatchard analyses of 4 degrees C binding assays on intact cells indicated that a two-site model best fit the data with association constants of K11 = 1.44 (+/- .42) X 10(10) and K12 = 4.35 (+/- .91) X 10(8). Receptor binding and activation studies for progesterone production yielded ED50s of 270 pM and 7.7 pM, respectively, and also indicated that 20% receptor occupancy is sufficient to stimulate maximal progesterone production. We conclude that after the initial binding event, FSH is endocytosed very slowly and is subsequently shuttled to the lysosomal compartment for degradation. The retarded rate of endocytosis may relate to novel pathways of hormone processing.     

A Model for Single-Substrate Trimolecular Enzymatic Kinetics

We developed a kinetic model for a single-substrate trimolecular enzymatic system, where a receptor binds and stretches a substrate to expose its cleavage site, allowing an enzyme to bind and cleave it into product. We demonstrated that the general kinetics of the trimolecular enzymatic system is more complex than the Michaelis-Menten kinetics. Under a limiting condition when the enzyme-substrate binding is in fast equilibrium, the enzymatic kinetics of the trimolecular system reduces to the Michaelis-Menten kinetics. In another limiting case when the receptor dissociates negligibly slowly from the substrate, the trimolecular system is simplified to a bimolecular system, which follows the Michaelis-Menten equation if and only if there is no enzyme-substrate complex initially. We applied this model to a particular trimolecular system important to hemostasis and thrombosis, consisting of von Willebrand factor (substrate), platelet glycoprotein Ibα (receptor), and ADAMTS13 (enzyme). Using parameters from independent experiments, our model successfully predicted published data from two single-molecule experiments and fitted/predicted published data from an ensemble experiment.     

Kinetics of gonadotropin binding by receptors of the rat testis. Analysis by a nonlinear curve-fitting method.

The kinetics of the reaction between human chorionic gonadotropin (hCG) and specific gonadotropin receptors in the rat testis were determined at 24 and 37 degrees, over a wide range of hormone concentrations. Hormone concentrations were corrected for the binding activity of the (-125I)hCG tracer preparations. Analysis of the experimental data was performed with an interactive nonlinear curve fitting program, based upon the second-order chemical kinetic differential equation. The mean values for the association rate constant (k1) were 4.7 x 10-7 M-1 min-1 at 24 degrees, and 11.0 x 10-7 M-1 min-1 at 37 degrees. At both temperatures, the values of kl were independent of hormone concentration. Initial dissociation rates were consistent with first order kinetics, with dissociation rate constant (k2) of 1.7 x 10 minus -3 and 4.6 x 10 minus -3 min minus -1 at 24 and 37 degrees, respectively. When studied over longer periods at 24 degrees, the dissociation process appeared to be multiexponential. The kinetics of degradation of (-125I)hCG and receptors were determined at both temperatures, and a mathematical model was developed by modification of the second-order chemical kinetic differential equation to take these factors into account. The application of such a model to hCG kinetic binding data demonstrated that reactant degradation had little significant effect on the derivation of the association rate constant (k1), but caused significant overestimation of the dissociation rate constant (k2) values derived from association experiments. The model was also applied by computer simulation to a theoretical analysis of the effects of degradation of free hormone and receptor sites upon kinetic and steadystate binding data. By this method, the initial velocities of hormone binding were shown to be less affected by degradation than the steady-state levels of hormone-receptor complex. Also, reactant degradation in simulated steady-state experiments caused an underestimate of the apparent equilibrium association constant, but had relatively less effect on the determination of binding site concentration.     

Benzilylcholine mustard and spare receptors in guinea pig ileum

A comparison was made of muscarinic receptor occupancy by the irreversible antagonist benzilylcholine mustard (BCM) as determined from shifts in the dose-response curve to a muscarinic agonist and from 3H-QNB binding to homogenates of BCM-treated tissue. Major discrepancies were found. A low concentration of BCM (3x10-8M/15 min.) produced a parallel dose-response curve shift corresponding to 98-99% receptor occupancy by BCM, whereas 3H-QNB binding revealed only 48% receptor occupancy. Possible origins of this discrepancy are discussed. High concentrations of BCM (5x10-5M, 15 min.) fail to completely alkylate all 3H-QNB binding sites even though response is completely lost. Although significant (64%) recovery of response occurs after prolonged tissue washing (240 min.) this is not accompanied by an increase in 3H-QNB binding. The small fraction (approximately 5%) of sites inaccessible to BCM and with reduced affinity for 3H-QNB may represent a subpopulation of muscarinic receptors.     

Glucagon receptors on isolated hepatocytes and hepatocyte membrane vesicles. Discrete populations with ligand- and environment-dependent affinities

Analysis of glucagon and deshistidine glucagon binding to isolated canine hepatocytes and to hepatocyte membrane vesicles (formed by budding of hepatocytes in hypotonic medium) reveals two separate populations of hormone binding sites. Mathematical modeling further shows that the high affinity population represents 1% of the total in all four cases. Although calculated dissociation constants for hormone binding range from 0.2 to 400 nM, whether considering glucagon or deshistidine glucagon binding, or binding to the high affinity or low affinity receptor populations, receptor affinity increases 2- to 100-fold in the environment of the membrane vesicle; concomitant with this alteration in receptor affinity, receptor selectivity for the structure of the native hormone decreases 1.5- to 40-fold in hepatocyte-derived vesicles. Consideration of receptor affinity in relation to receptor number suggests that hepatocyte glucagon binding is distributed about equally between high and low affinity receptor populations at typical portal hormone levels. Nevertheless, consideration of receptor binding in relation to biological activity suggests that the activity of glucagon in inhibiting carbohydrate flux into glycogen is attributable to occupancy of the high affinity receptor population.     

Response of neutrophils to stimulus infusion: differential sensitivity of cytoskeletal activation and oxidant production

The response of human neutrophils to N-formyl peptides were studied under conditions where ligand binding was controlled by infusing a cell suspension with the peptide over a time period comparable to the normal half-time for binding. Receptor occupancy was measured in real time with a fluorescently labeled peptide using flow cytometry. This binding was approximated by a simple reversible model using typical on (7 X 10(8) M- min-1) and off (0.35/min) rate constants and the infusion rates (0.02-0.2 nM/min). Under conditions of stimulus infusion intracellular calcium elevation, superoxide generation, and right angle light scatter and F-actin formation were measured. As the infusion rate was decreased into the range of 10 pM/min, lowering the rate of increase of receptor occupancy to approximately 0.5% per min, the calcium and right angle light scatter responses elongated in time and decreased in magnitude. Superoxide generation decreased below infusion rates of approximately 100 pM/min (occupancy increasing at a rate in the range of 5% per min). This behavior could contribute to differences between chemotactic responses, which appear to require low rates of receptor occupancy over long periods, and bactericidal or inflammatory responses (free radical generation and degranulation), which require bursts of occupancy of several percent of the receptors.     

The binding mechanism of the yeast F1-ATPase inhibitory peptide: role of catalytic intermediates and enzyme turnover

The mechanism of inhibition of yeast mitochondrial F(1)-ATPase by its natural regulatory peptide, IF1, was investigated by correlating the rate of inhibition by IF1 with the nucleotide occupancy of the catalytic sites. Nucleotide occupancy of the catalytic sites was probed by fluorescence quenching of a tryptophan, which was engineered in the catalytic site (beta-Y345W). Fluorescence quenching of a beta-Trp(345) indicates that the binding of MgADP to F(1) can be described as 3 binding sites with dissociation constants of K(d)(1) = 10 +/- 2 nm, K(d2) = 0.22 +/- 0.03 microm, and K(d3) = 16.3 +/- 0.2 microm. In addition, the ATPase activity of the beta-Trp(345) enzyme followed simple Michaelis-Menten kinetics with a corresponding K(m) of 55 microm. Values for the K(d) for MgATP were estimated and indicate that the K(m) (55 microm) for ATP hydrolysis corresponds to filling the third catalytic site on F(1). IF1 binds very slowly to F(1)-ATPase depleted of nucleotides and under unisite conditions. The rate of inhibition by IF1 increased with increasing concentration of MgATP to about 50 mum, but decreased thereafter. The rate of inhibition was half-maximal at 5 microm MgATP, which is 10-fold lower than the K(m) for ATPase. The variations of the rate of IF1 binding are related to changes in the conformation of the IF1 binding site during the catalytic reaction cycle of ATP hydrolysis. A model is proposed that suggests that IF1 binds rapidly, but loosely to F(1) with two or three catalytic sites filled, and is then locked in the enzyme during catalytic hydrolysis of ATP.