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

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

Receptor dissociation constants and the information entropy of membranes coding ligand concentration

The binding of ligands to receptor proteins embedded in cell membranes drives cellular responses that involve either second messenger cascades or directly gated ion channels. It is known that a single class of receptor proteins expresses approximately 98% of its graded response to ligand concentrations over four orders of magnitude, where the response is measured by the equilibrium proportion of bound ligand-receptor complexes. This four-decadic concentration range is centered on a logarithmic scale around logK, where K is the dissociation constant defined by the ratio of ligand-receptor unbinding (k-) to binding (k+) rates. Remarkably, this four-decadic concentration range is intrinsic to all homogeneous ligand-receptor (or, equivalently, enzyme-substrate) systems. Thus, adapting the sensitivity of cell membranes to narrower or wider ranges of ligand concentrations, respectively, requires multivalent receptors or heterogeneous populations of receptors. Here we use a normalized Shannon-Weaver measure of information entropy to represent the efficiency of coding over given concentrations for membranes containing a population of univalent receptors with a specified distribution of dissociation constants, or a homogeneous population of strongly cooperative multivalent receptors. Assuming a specified level of resolution in the response of cellular or neural systems downstream from the membrane that 'read' the ligand concentration 'code', we calculate the range of concentrations over which the coding efficiency of the membrane itself is maximized. Our results can be used to hypothesize the number of receptor types associated with the membranes of particular cells. For example, from data in the literature, we conclude that the response of most general olfactory sensory neurons can be explained in terms of a homogeneous population of receptor proteins, while the response of pheromone sensory neurons is satisfactorily explained by the presence of two types of membrane receptor protein with pheromone-binding dissociation constants that have values at least one to two orders of magnitude apart.     

Reply to Claudio Cobelli and Gianna Toffolo,identifiability from parameter bounds. Structural and numerical aspects. Math. Biosci. 71:237–243 (1984)

We present an analysis of receptor mediated endocytosis which includes the following elements: ligand binding to receptors, interaction of the ligand-receptor complex with coated pits, internalization of coated pit contents, recycling of receptors, and degradation of ligand. The model accounts quantitatively for epidermal growth factor binding and clustering in coated pits at 4°C, for its internalization and degradation at 37°C, and for EGF receptor down-regulation. Steady state analysis of the model indicates that the slope and intercept of a Scatchard plot are functions of the kinetic parameters of the endocytic loop and do not necessarily reflect the affinity and number of receptors in metabolically active cells. Moreover, the model predicts that for homogeneous receptors, a Scatchard plot can be either linear or nonlinear, depending on the concentration of proteins in coated pits which interact with ligand-receptor complexes. A slight generalization of the model in which phorbol ester-receptor complexes compete with EGF-receptor complexes for the same coated pit proteins provides a quantitative explanation for the loss of the high affinity portion of the EGF Scatchard plot subsequent to preincubation with phorbol esters. This explanation leads to the prediction of a local homology between a portion of the phorbol ester receptor sequence and a portion of the EGF receptor sequence.     

A Tunable Coarse-Grained Model for Ligand-Receptor Interaction

Cell-surface receptors are the most common target for therapeutic drugs. The design and optimization of next generation synthetic drugs require a detailed understanding of the interaction with their corresponding receptors. Mathematical approximations to study ligand-receptor systems based on reaction kinetics strongly simplify the spatial constraints of the interaction, while full atomistic ligand-receptor models do not allow for a statistical many-particle analysis, due to their high computational requirements. Here we present a generic coarse-grained model for ligand-receptor systems that accounts for the essential spatial characteristics of the interaction, while allowing statistical analysis. The model captures the main features of ligand-receptor kinetics, such as diffusion dependence of affinity and dissociation rates. Our model is used to characterize chimeric compounds, designed to take advantage of the receptor over-expression phenotype of certain diseases to selectively target unhealthy cells. Molecular dynamics simulations of chimeric ligands are used to study how selectivity can be optimized based on receptor abundance, ligand-receptor affinity and length of the linker between both ligand subunits. Overall, this coarse-grained model is a useful approximation in the study of systems with complex ligand-receptor interactions or spatial constraints.     

Structure analysis of bone morphogenetic protein-2 type I receptor complexes reveals a mechanism of receptor inactivation in juvenile polyposis syndrome

Bone morphogenetic proteins regulate many developmental processes during embryogenesis as well as tissue homeostasis in the adult. Signaling of bone morphogenetic proteins (BMPs) is accomplished by binding to two types of serine/threonine kinase transmembrane receptors termed type I and type II. Because a large number of ligands signal through a limited number of receptors, ligand-receptor interaction in the BMP superfamily is highly promiscuous, with a ligand binding to various receptors and a receptor binding many different BMP ligands. In this study we investigate the interaction of BMP-2 with its two high affinity type I receptors, BMP receptors IA (BMPR-IA) and BMPR-IB. Interestingly, 50% of the residues in the BMP-2 binding epitope of the BMPR-IA receptor are exchanged in BMPR-IB without a decrease in binding affinity or specificity for BMP-2. Our structural and functional analyses show that promiscuous binding of BMP-2 to both type I receptors is achieved by inherent backbone and side-chain flexibility as well as by variable hydration of the ligand-receptor interface enabling the BMP-2 surface to adapt to different receptor geometries. Despite the high degree of amino acid variability found in BMPR-IA and BMPR-IB binding equally to BMP-2, three single point missense mutations in the ectodomain of BMPR-IA cannot be tolerated. In juvenile polyposis syndrome these mutations have been shown to inactivate BMPR-IA. On the basis of our biochemical and biophysical analyses, we can show that the mutations, which are located outside the ligand binding epitope, alter the local or global fold of the receptor, thereby inactivating BMPR-IA and causing a loss of the BMP-2 tumor suppressor function in colon epithelial cells.     

Epidermal growth factor receptors

EGF-Rs are cell membrane glycoproteins of wide distribution. They have not yet been fully characterized or purified but are probably molecules of 170-190,000 mol. wt. in most cells. The growth factor EGF binds and will saturate cell surface receptors with a KA of about 5 X 10(9) M-1 although a receptor class with an affinity in excess of 10(10) M-1 has been detected in some cells. The number of receptors on a cell does not determine the level of its response. Some cell types have receptors which bind EGF, but with no mitogenic response. The ways in which receptor affinity and/or number is modulated are described. This and other evidence is reviewed in a search for a suitable model of a mechanism of action on the cell, which best fits the current data. There is ample evidence that EGF binds to the receptor; that ligand-receptor complexes cluster or aggregate; and then are internalized and degraded, but evidence for a direct connection between internalization and the subsequent mitogenic response is lacking. Good correlations between internalization and mitogenic responses have been observed and developed into a theory of endocytic activation, but there is a body of evidence which cannot be accommodated by this theory. Instead, an alternative model is suggested.     

Quantitative analysis of ligand-receptor interactions in physiological experiments

In isolated smooth muscles of the sea cucumber, the rat intestine, vas deferens and portal vein, and in chick embryonic amnion, contractile responses of smooth muscles to transmitters and their agonists were described with two equations: p = (Pm.A(n))/(EC50n + A(n)) [7] or p = [(Pm1.An1)/(EC50(1)n1 + An1)] + [(Pm2.An2)/(EC50(2)n2 + An2)] [8]. The findings reveal a possibility of ligand-receptor interaction according to several models: a single receptor pool with n = 1 or n not equal to 1; two receptor pools in the same effector system with n1 = n2 or n1 not equal to n2.     

FGF2 effects in periosteal fibroblasts bearing the FGFR2 receptor Pro253 Arg mutation

AIM: A growing number of mutations mapped in the receptor gene for fibroblast growth factor have been implicated in several cranial development disorders including the Apert and Crouzon syndromes. The present paper investigated cellular mechanisms underlying Apert phenotype, by analyzing the effects of FGF2 in primary cultures of Apert periosteal fibroblasts carrying the FGFR2 Pro253Arg mutation. RESULTS: FGF2 administration significantly decreased extracellular matrix production in mutant cells by stimulating degradative enzymatic activities. Gene expression analysis revealed that decorin and biglycan, two proteoglycans involved in collagen fibrillogenesis, were more expressed in mutant cells and down-regulated by FGF2. FGF2 receptor binding showed little differences in high affinity receptor counts between mutant and wild-type cells, while we showed for the first time that low affinity receptors are significantly fewer in mutant cells. Differences were found in Crouzon syndrome, where both high and low affinity receptor counts were up-regulated. CONCLUSIONS: The different mutation and low affinity receptor regulation in mutant receptors support the hypothesis that the impact on the activity of the ligand-receptor complex could allow distinct modes of FGF2 activation in Apert and Crouzon syndromes, which interfere with the FGFR2 signalling cascade.     

Analysis of some "insoluble" problems of determining the binding parameters of ligand-receptor interaction and methods of their solving

Some problems of the estimation of the parameters of ligand-receptor interaction (affinity, rate constants, valency, etc.) were considered. It was demonstrated that not only the Scatchard plot but also Klotz plot could be used for determining the parameters of ligand-receptor interaction for two types of binding sites of different affinity. A new approach and new coordinate systems for the estimation of the parameters of ligand-receptor interaction were suggested. It was shown that for the estimation of the affinity of putative monovalent antibodies by ELISA various equations, which are more precise and convenient than the Friguet et al. equations, could be obtained by the transformation of mass action law equation. The problem solution for the estimation by ELISA the affinity of two types of bivalent antibodies with different affinity and their concentrations for the case of the mixture of these antibodies was also suggested. The application of the proposed coordinate of dilution allows to solve the problem of determination of the parameters of ligand-receptor interaction (including antigen-antibody system) for the pre-existing ligand-receptor mixture without their preliminary separation and purification. This approach is especially important for the cases when the receptor is not stable enough to be isolated in the intact form from this mixture. It was shown that the well-known phenomenon of the prozone often observed under the titration of serum antibodies by the method of agglutination may get a mathematical explanation. Analytical solution of the problem of determining the velocity constant and the amount of the end product of the first order irreversible and reversible reaction kinetics was suggested, despite the fact that the process is described by the system of irrational equations. Mehods of asymptotic solution of transcendental irrational equations which describe the dynamics of reactions which mechanisms are subject to the so-called heterogeneous, successive, or competitive models have been considered. These methods permit the finding of the reaction rate constants and the amount of the end product, if the kinetics of the transformation of either initial, or end product of the reaction is known.     

Chimeric G Proteins Allow a High-Throughput Signaling Assay of Gi-Coupled Receptors

G-protein-coupled receptors are a major target for potential therapeutics; yet, a large number of these receptors couple to the Gi pathway, generating signals that are difficult to detect. We have combined chimeric G proteins, automated sample handling, and simultaneous 96-well fluorometric imaging to develop a high-throughput assay system for Gi signaling. The chimeric G proteins alter receptor coupling so that signaling can occur through Gq and result in mobilization of intracellular calcium stores. An automated signaling assay device, the fluorometric imaging plate reader (FLIPR), can simultaneously measure this response in real time in 96-well microplates, allowing two people to process more than 10,000 points per day. We used the chimeric G protein/FLIPR system to characterize signaling by the Gi-coupled human opioid receptors. We show that the mu, delta, and kappa opioid receptors and the related nociceptin receptor, ORL1, each couple to Galphaqi5, Galphaqo5, and Galpha16 (Galphaqi5 and Galphaqo5 refer to Galphaq proteins containing the five carboxyl-terminal amino acids from Galphai and Galphao, respectively) and that different receptor/G protein combinations show different levels of maximal activation. We tested 31 opioid ligands for agonist activity at the opioid receptors (124 ligand-receptor combinations); all 31 activated at least one receptor type, and several activated multiple receptors with differing potencies. This high-throughput assay could be useful for dissecting the complex ligand-receptor relationships that are common in nature.     

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.     

Sulfhydryl Reagents Alter Epidermal Growth Factor Receptor Affinity and Association with the Cytoskeleton

Abstract

Sulfhydryl (SH) reagents are known to influence the characteristics of many ligand-receptor systems. The SH reagent N-ethylmaleimide has been demonstrated to interact with EGF receptors, and to inhibit EGF receptor kinase activity. The data presented in this paper concern the effect of SH reagents on two intriguing features of the EGF receptor system, namely the presence of low and high affinity EGF binding sites, and the interaction of EGF receptors with the cytoskeleton. SH reagents were observed to induce a disappearance of high, but not low, affinity EGF receptors from the cell surface, and an increase in receptor-cytoskeleton interaction. Comparison of the effects of membrane-permeant and membrane-impermeant SH reagents on wild type and structurally modified EGF receptors suggested that sulfhydryl groups on the cytoplasmic, rather than the extracellular, receptor domain are involved. This indicates that the cytoplasmic domain of the EGF receptor plays a role in the high affinity binding of EGF, and in the interaction of EGF receptors with the cytoskeleton. Experiments with an anti-EGF receptor antibody that specifically blocks the binding of EGF to low affinity receptors indicated that EGF induces a shift in the EGF receptor from low to high affinity. SH reagents probably affect EGF binding by inhibiting this EGF-induced receptor conversion.     

Necessary conditions for a minimal model of receptor to show adaptive response over a wide range of levels of stimulus

Sensory systems respond to temporal changes in the stimulus and adapt to the new level when it persists, this pattern of response being maintained in a wide range of levels of stimulus. Here we use a simple model of adaptation developed by Segel et al. (J. Theor. Biol. 120 (1986) 151-179) and extended by Hauri and Ross (Biophys. J. 68 (1995) 708-722) to study the conditions in which it shows wide range of response. The model consists of a receptor that switches between a variable number of states, either by mass action law or by covalent modification. Using a global optimization procedure, we have optimized the adaptive response of the alternatives of the model with different number of states. We find that it is impossible to obtain a wide range of response if the receptor switches between states following mass-action laws, irrespective of the number of states. Instead, a wide range (of five orders of magnitude of ligand concentration) can be obtained if the receptor switches between several states by irreversible covalent modification, in agreement with previous models. Therefore, in this model, expenditure of energy to maintain a large number of covalent modification cycles operating outside equilibrium is necessary to achieve a wide range of response. The optimal values of the parameters present similar patterns to those reported for specific receptors, but there is no quantitative agreement. For instance, ligand affinity varies several orders of magnitude between the different states of the receptor, what is unlikely to be fulfilled by real systems. To see if the minimal model can show adaptive response and range with quantitatively plausible parameter values a sub-optimal receptor was studied, finding that adaptive response of high intensity can still be obtained in at least three orders of magnitude.     

The structural basis for kainoid selectivity at AMPA receptors revealed by low-mode docking calculations

The kainoids are a class of excitatory and excitotoxic pyrrolidine dicarboxylates that act at ionotropic glutamate receptors. The kainoids bind kainate receptors with high affinity and, while binding affinity is lower at AMPA (alpha-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid) receptors, they are active in functional assays at this receptor subtype as well. However, kainoids are only partial agonists at AMPA receptors. Currents evoked by kainoids have been described as either slowly desensitizing, partially desensitizing, or non-desensitizing. Recently acquired X-ray crystal structures of the ligand binding domain of the iGluR2, AMPA sensitive receptor suggest that differences in ligand-receptor interactions may influence functional properties of an agonist. In an effort to identify important ligand-receptor interactions of various kainoids, we have conducted a series of low-mode docking searches of AMPA agonists in the iGluR2 binding domain. Kainic acid exhibited alternate low-lying geometries, with loss of hydrogen bonds to domain 2, which may represent a dissociation route not available to other kainoids. The most potent of the kainoids are capable of forming hydrogen bonding interactions that span the two domains of the receptor. In particular, a hydrogen bond between the domoic acid C6' carboxylic acid and Ser652 may prevent a peptide bond rotation that is associated with the desensitized state of the receptor.     

Heparin differentially regulates the interaction of fibroblast growth factor-4 with FGF receptors 1 and 2.

Fibroblast growth factor-4 (FGF4), like other FGFs, shares a high affinity for the anionic glycosaminoglycans heparin and heparan sulfate (HS), which in turn enhance FGF-receptor (FGFR) binding and activation. Here we demonstrate using a cell free system that, at low concentrations of heparin, FGF4 binds only to FGFR-2, while much higher heparin levels are required for binding to FGFR-1. Chemical crosslinking of radiolabeled FGF4 to the soluble FGF receptors confirms the preferential formation of FGF4-FGFR-2 complexes under restricted heparin availability, with maximal ligand-receptor interactions at almost 20-fold lower heparin concentrations then those required for the affinity labeling of FGFR-1. In accordance, HS-deficient cells expressing FGFR-2 proliferate in response to FGF4 at extremely low exogenous heparin concentrations, while FGFR-1 expressing cells are completely unresponsive under the same conditions. We suggest that FGFR-2 is the preferred receptor for FGF4 under restricted HS conditions and that the bioavailability of structurally distinct HS motifs may differentially control receptor specificity of FGF4 in vivo.     

Receptor-mediated endocytosis: the intracellular journey of transferrin and its receptor

A variety of ligands and macromolecules enter cells by receptor-mediated endocytosis. Ligands bind to their receptors on the cell surface and ligand-receptor complexes are localized in specialized regions of the plasma membrane called coated pits. Coated pits invaginate and give rise to intracellular coated vesicles containing ligand-receptor complexes which are thus internalized. Transferrin, a major serum glycoprotein which transports iron into cells, enters cells by this pathway. It binds to its receptor on the cell surface, transferrin-receptor complexes cluster in coated pits and are internalized in coated vesicles. Coated vesicles then lose their clathrin coat and fuse with endosomes, an organelle with an internal pH of about 5-5.5. Most ligands dissociate from their receptors in endosomes and they finally end up in lysosomes where they are degraded, while their receptors remain bound to membrane structures and recycle to the cell surface. Transferrin has a different fate: in endosomes iron dissociates from transferrin but apotransferrin remains bound to its receptor because of its high affinity for the receptor at acid pH. Apotransferrin thus recycles back to the plasma membrane still bound to its receptor. When the ligand-receptor complex reaches the plasma membrane or a compartment at neutral pH, apotransferrin dissociates from its receptor with a half-life of 18 s because of its low affinity for its receptor at neutral pH. The receptor is then ready for a new cycle of internalization, while apotransferrin enters the circulation, reloads iron in the appropriate organs and is ready for a new cycle of iron transport.     

Modified yeast cells to investigate the coupling of G protein-coupled receptors to specific G proteins

G protein-coupled receptors (GPCRs) help to regulate the physiology of all the major organ systems. They respond to a multitude of ligands and activate a range of effector proteins to bring about the appropriate cellular response. The choice of effector is largely determined by the interaction of individual GPCRs with different G proteins. Several factors influence this interaction, and a better understanding of the process may enable a more rational approach to identifying compounds that affect particular signalling pathways. A number of systems have been developed for the analysis of GPCRs. All provide useful information, but the genetic amenability and relative simplicity of yeast makes them a particularly attractive option for ligand identification and pharmaceutical screening. Many, but not all, GPCRs are functional in the budding yeast Saccharomyces cerevisiae, and we have developed reporter strains of the fission yeast Schizosaccharomyces pombe as an alternative host. To provide a more generic system for investigating GPCRs, we created a series of yeast-human Galpha-transplants, in which the last five residues at the C-terminus of the yeast Galpha-subunit are replaced with the corresponding residues from different human G proteins. These enable GPCRs to be coupled to the Sz. pombe signalling machinery so that stimulation with an appropriate ligand induces the expression of a signal-dependent lacZ reporter gene. We demonstrate the specificity of the system using corticotropin releasing factor (CRF) and CRF-related peptides on two CRF receptors. We find that different combinations of ligand and receptor activate different Galpha-transplants, and the specificity of the coupling is similar to that in mammalian systems. Thus, CRF signalled through the Gs- and Gi-transplants, consistent with its regulation of adenylate cyclase, and was more active against the CRF-R1A receptor than against the CRF-R2B receptor. In contrast, urocortin II and urocortin III were selective for the CRF-R2B receptors. Furthermore, urocortin, but not CRF, induced signalling through the CRF-R1A receptor and the Gq-transplant. This is the first time that human GPCRs have been coupled to the signalling pathway in Sz. pombe, and the strains described in this study will complement the other systems available for studying this important family of receptors.