Collision coupling, crosstalk, and compartmentalization in G-protein coupled receptor systems: can a single model explain disparate results?

The collision coupling model describes interactions between receptors and G-proteins as first requiring the molecules to find each other by diffusion. A variety of experimental data on G-protein activation have been interpreted as suggesting (or not) the compartmentalization of receptors and/or G-proteins in addition to a collision coupling mechanism. In this work, we use a mathematical model of G-protein activation via collision coupling but without compartmentalization to demonstrate that these disparate observations do not imply the existence of such compartments. In experiments with GTP analogs (commonly GTPγS), the extent of G-protein activation is predicted to be a function of both receptor number and the rate of GTP analog hydrolysis. The sensitivity of G-protein activation to receptor number is shown to be dependent upon the assay used, with the sensitivity of phosphate production assays (GTPase) >GTPγS-binding assays >cAMP inhibition assays. Finally, the amount of competition or crosstalk between receptor species activating the same type of G-proteins is predicted to depend on receptor and G-protein number, but in some (common) experimental regimes this dependence is expected to be minimal. Taken together, these observations suggest that the collision coupling model, without compartments of receptors and/or G-proteins, is sufficient to explain a variety of observations in literature data.     

Spatial modeling of dimerization reaction dynamics in the plasma membrane: Monte Carlo vs. continuum differential equations

Bimolecular reactions in the plasma membrane, such as receptor dimerization, are a key signaling step for many signaling systems. For receptors to dimerize, they must first diffuse until a collision happens, upon which a dimerization reaction may occur. Therefore, study of the dynamics of cell signaling on the membrane may require the use of a spatial modeling framework. Despite the availability of spatial simulation methods, e.g., stochastic spatial Monte Carlo (MC) simulation and partial differential equation (PDE) based approaches, many biological models invoke well-mixed assumptions without completely evaluating the importance of spatial organization. Whether one is to utilize a spatial or non-spatial simulation framework is therefore an important decision. In order to evaluate the importance of spatial effects a priori, i.e., without performing simulations, we have assessed the applicability of a dimensionless number, known as second Damköhler number (Da), defined here as the ratio of time scales of collision and reaction, for 2-dimensional bimolecular reactions. Our study shows that dimerization reactions in the plasma membrane with Da ∼> 0.1 (tested in the receptor density range of 10²–10⁵/μm²) require spatial modeling. We also evaluated the effective reaction rate constants of MC and simple deterministic PDEs. Our simulations show that the effective reaction rate constant decreases with time due to time dependent changes in the spatial distribution of receptors. As a result, the effective reaction rate constant of simple PDEs can differ from that of MC by up to two orders of magnitude. Furthermore, we show that the fluctuations in the number of copies of signaling proteins (noise) may also depend on the diffusion properties of the system. Finally, we used the spatial MC model to explore the effect of plasma membrane heterogeneities, such as receptor localization and reduced diffusivity, on the dimerization rate. Interestingly, our simulations show that localization of epidermal growth factor receptor (EGFR) can cause the diffusion limited dimerization rate to be up to two orders of magnitude higher at higher average receptor densities reported for cancer cells, as compared to a normal cell.     

The coreceptor CD2 uses plasma membrane microdomains to transduce signals in T cells

The interaction between a T cell and an antigen-presenting cell (APC) can trigger a signaling response that leads to T cell activation. Prior studies have shown that ligation of the T cell receptor (TCR) triggers a signaling cascade that proceeds through the coalescence of TCR and various signaling molecules (e.g., the kinase Lck and adaptor protein LAT [linker for T cell activation]) into microdomains on the plasma membrane. In this study, we investigated another ligand–receptor interaction (CD58–CD2) that facilities T cell activation using a model system consisting of Jurkat T cells interacting with a planar lipid bilayer that mimics an APC. We show that the binding of CD58 to CD2, in the absence of TCR activation, also induces signaling through the actin-dependent coalescence of signaling molecules (including TCR-ζ chain, Lck, and LAT) into microdomains. When simultaneously activated, TCR and CD2 initially colocalize in small microdomains but then partition into separate zones; this spatial segregation may enable the two receptors to enhance signaling synergistically. Our results show that two structurally distinct receptors both induce a rapid spatial reorganization of molecules in the plasma membrane, suggesting a model for how local increases in the concentration of signaling molecules can trigger T cell signaling.     

Receptor-mediated endocytosis of epidermal growth factor by hepatocytes in the perfused rat liver: ligand and receptor dynamics

We have used biochemical and morphological techniques to demonstrate that hepatocytes in the perfused liver bind, internalize, and degrade substantial amounts of murine epidermal growth factor (EGF) via a receptor-mediated process. Before ligand exposure, about 300,000 high-affinity receptors were detectable per cell, displayed no latency, and co-distributed with conventional plasma membrane markers. Cytochemical localization using EGF coupled to horseradish peroxidase (EGF-HRP) revealed that the receptors were distributed along the entire sinusoidal and lateral surfaces of hepatocytes. When saturating concentrations of EGF were perfused through a liver at 35 degrees C, ligand clearance was biphasic with a rapid primary phase of 20,000 molecules/min per cell that dramatically changed at 15-20 min to a slower secondary phase of 2,500 molecules/min per cell. During the primary phase of uptake, approximately 250,000 molecules of EGF and 80% of the total functional receptors were internalized into endocytic vesicles which could be separated from enzyme markers for plasma membranes and lysosomes on sucrose gradients. The ligand pathway was visualized cytochemically 2-25 min after EGF-HRP internalization and a rapid transport from endosomes at the periphery to those in the Golgi apparatus-lysosome region was observed (t 1/2 approximately equal to 7 min). However, no 125I-EGF degradation was detected for at least 20 min. Within 30 min after EGF addition, a steady state was reached which lasted up to 4 h such that (a) the rate of EGF clearance equaled the rate of ligand degradation (2,500 molecules/min per cell); (b) a constant pool of undegraded ligand was maintained in endosomes; and (c) the number of accessible (i.e., cell surface) receptors remained constant at 20% of initial values. By 4 h hepatocytes had internalized and degraded 3 and 2.3 times more EGF, respectively, than the initial number of available receptors, even in the presence of cycloheximide and without substantial loss of receptors. All of these results suggest that EGF receptors are internalized and that their rate of recycling to the surface from intracellular sites is governed by the rate of entry of ligand and/or receptor into lysosomes.     

Membrane order and molecular dynamics associated with IgE receptor cross-linking in mast cells

Cholesterol-rich microdomains (or "lipid rafts") within the plasma membrane have been hypothesized to exist in a liquid-ordered phase and play functionally important roles in cell signaling; however, these microdomains defy detection using conventional imaging. To visualize domains and relate their nanostructure and dynamics to mast cell signaling, we use two-photon (760 nm and 960 nm) fluorescence lifetime imaging microscopy and fluorescence polarization anisotropy imaging, with comparative one-photon anisotropy imaging and single-point lifetime and anisotropy decay measurements. The inherent sensitivity of ultrafast excited-state dynamics and rotational diffusion to the immediate surroundings of a fluorophore allows for real-time monitoring of membrane structure and organization. When the high affinity receptor for IgE (FcepsilonRI) is extensively cross-linked with anti-IgE, molecules associated with cholesterol-rich microdomains (e.g., saturated lipids (the lipid analog diI-C(18) or glycosphingolipids)) and lipid-anchored proteins coredistribute with cross-linked IgE-FcepsilonRI. We find an enhancement in fluorescence lifetime and anisotropy of diI-C(18) and Alexa 488-labeled IgE-FcepsilonRI in the domains where these molecules colocalize. Our results suggest that fluorescence lifetime and, particularly, anisotropy permit us to correlate the recruitment of lipid molecules into more ordered domains that serve as platforms for IgE-mediated signaling.     

Tec kinase Itk forms membrane clusters specifically in the vicinity of recruiting receptors

The Tec family of tyrosine kinases transduces signals from antigen and other receptors in cells of the hematopoietic system. In particular, interleukin-2 inducible T cell kinase (Itk) plays an important role in modulating T cell development and activation. Itk is activated by receptors via a phosphatidylinositol 3-kinase-mediated pathway, which results in recruitment of Itk to the plasma membrane via its pleckstrin homology domain. We show here that membrane localization of Itk results in the formation of clusters of at least two molecules within 80 A of each other, which is dependent on the integrity of its pleckstrin homology domain. By contrast, the proline-rich region within the Tec homology domain, SH3 or SH2 domains, or kinase activity were not required for this event. More importantly, these clusters of Itk molecules form in distinct regions of the plasma membrane as only receptors that recruit phosphatidylinositol 3-kinase reside in the same membrane vicinity as the recruited Itk. Our results indicate that Itk forms dimers in the membrane and that receptors that recruit Itk do so to specific membrane regions.     

Spatial regulation and the rate of signal transduction activation

Of the many important signaling events that take place on the surface of a mammalian cell, activation of signal transduction pathways via interactions of cell surface receptors is one of the most important. Evidence suggests that cell surface proteins are not as freely diffusible as implied by the classic fluid mosaic model and that their confinement to membrane domains is regulated. It is unknown whether these dynamic localization mechanisms function to enhance signal transduction activation rate or to minimize cross talk among pathways that share common intermediates. To determine which of these two possibilities is more likely, we derive an explicit equation for the rate at which cell surface membrane proteins interact based on a Brownian motion model in the presence of endocytosis and exocytosis. We find that in the absence of any diffusion constraints, cell surface protein interaction rate is extremely high relative to cytoplasmic protein interaction rate even in a large mammalian cell with a receptor abundance of a mere two hundred molecules. Since a larger number of downstream signaling events needs to take place, each occurring at a much slower rate than the initial activation via association of cell surface proteins, we conclude that the role of co-localization is most likely that of cross-talk reduction rather than coupling efficiency enhancement.     

Quantitative aspects of a unified model of diffusion mediated receptor--cyclase coupling.

A quantitative model is presented of diffusion mediated coupling of adenylate cyclase to multivalent plasma membrane receptors which accounts for a wide range of phenomena including non linear occupation-activation plots with either positive or negative second derivatives, spare receptors, silent receptors, and negative and positive binding cooperativity. A non linear least square fit of the predicted equation for cyclase activation to available data predicts translational diffusion coefficients in the range of (10(-10) - 10(-11))cm2/s.     

Induction of caveolae in the apical plasma membrane of Madin-Darby canine kidney cells

In this paper, we have analyzed the behavior of antibody cross-linked raft-associated proteins on the surface of MDCK cells. We observed that cross-linking of membrane proteins gave different results depending on whether cross-linking occurred on the apical or basolateral plasma membrane. Whereas antibody cross-linking induced the formation of large clusters on the basolateral membrane, resembling those observed on the surface of fibroblasts (Harder, T., P. Scheiffele, P. Verkade, and K. Simons. 1998. J. Cell Biol. 929-942), only small ( approximately 100 nm) clusters formed on the apical plasma membrane. Cross-linked apical raft proteins e.g., GPI-anchored placental alkaline phosphatase (PLAP), influenza hemagglutinin, and gp114 coclustered and were internalized slowly ( approximately 10% after 60 min). Endocytosis occurred through surface invaginations that corresponded in size to caveolae and were labeled with caveolin-1 antibodies. Upon cholesterol depletion the internalization of PLAP was completely inhibited. In contrast, when a non-raft protein, the mutant LDL receptor LDLR-CT22, was cross-linked, it was excluded from the clusters of raft proteins and was rapidly internalized via clathrin-coated pits.Since caveolae are normally present on the basolateral membrane but lacking from the apical side, our data demonstrate that antibody cross-linking induced the formation of caveolae, which slowly internalized cross-linked clusters of raft-associated proteins.     

The collisional limit: an important consideration for membrane-associated enzymes and receptors

Because of the proximity of many bound receptors or enzymes, a membrane surface may become uniformly reactive so that every collision between a ligand and the membrane particle results in a binding or catalytic event. At this limit (the collisional limit), the reaction rate depends on membrane particle (cell) concentration and is independent of receptor concentration. Many receptor systems display properties that satisfy the requirements of a collisionally limited reaction. These include the presence of many receptors per cell. The filling of only a few of these receptors often generates the maximum cellular response, and the remaining receptors have been referred to as spare receptors. However, many receptors are needed to produce the collisional limit, and spare receptors may represent nature's evolution toward a reaction that provides the maximum rate as well as the maximum sensitivity to a ligand. Since receptors or enzymes provided on small membrane fragments will not function at the collisional limit, properties of reconstituted enzymes or receptors may not be extrapolated to the physiological situation. The use of normal bimolecular kinetic or equilibrium equations is inappropriate for reactions limited by collision and can give unusual results that lead to inappropriate conclusions. Determination of whether the collisional limit applies to a membrane-bound system is important for understanding its properties and those of the physiological circumstance.     

G proteins control diverse pathways of transmembrane signaling

Hormones, neurotransmitters, and autacoids interact with specific receptors and thereby trigger a series of molecular events that ultimately produce their biological effects. These receptors, localized in the plasma membrane, carry binding sites for ligands as diverse as peptides (e.g., glucagon, neuropeptides), lipids (e.g., prostaglandins), nucleosides and nucleotides (e.g., adenosine), and amines (e.g., catecholamines, serotonin). These receptors do not interest directly with their respective downstream effector (i.e., an ion channel and/or an enzyme that synthesizes a second messenger); rather, they control one or several target systems via the activation of an intermediary guanine nucleotide-binding regulatory protein or G protein. G proteins serve as signal transducers, linking extracellularly oriented receptors to membrane-bound effectors. Traffic in these pathways is regulated by a GTP (on)-GDP (off) switch, which is regulated by the receptor. The combination of classical biochemistry and recombinant DNA technology has resulted in the discovery of many members of the G protein family. These approaches, complemented in particular by electrophysiological experiments, have also identified several effectors that are regulated by G proteins. We can safely assume that current lists of G proteins and the functions that they control are incomplete.     

Inhibition of serotonin 5-hydroxytryptamine2c receptor function through heterodimerization: receptor dimers bind two molecules of ligand and one G-protein

Although dimerization appears to be a common property of G-protein-coupled receptors (GPCRs), it remains unclear whether a GPCR dimer binds one or two molecules of ligand and whether ligand binding results in activation of one or two G-proteins when measured using functional assays in intact living cells. Previously, we demonstrated that serotonin 5-hydroxytryptamine2C (5-HT2C) receptors form homodimers (Herrick-Davis, K., Grinde, E., and Mazurkiewicz, J. (2004) Biochemistry 43, 13963-13971). In the present study, an inactive 5-HT(2C) receptor was created and coexpressed with wild-type 5-HT2C receptors to determine whether dimerization regulates receptor function and to determine the ligand/dimer/G-protein stoichiometry in living cells. Mutagenesis of Ser138 to Arg (S138R) produced a 5-HT2C receptor incapable of binding ligand or stimulating inositol phosphate (IP) signaling. Confocal fluorescence imaging revealed plasma membrane expression of yellow fluorescent protein-tagged S138R receptors. Expression of wild-type 5-HT2C receptors in an S138R-expressing stable cell line had no effect on ligand binding to wild-type 5-HT2C receptors, but inhibited basal and 5-HT-stimulated IP signaling as well as constitutive and 5-HT-stimulated endocytosis of wild-type 5-HT2C receptors. M1 muscarinic receptor activation of IP production was normal in the S138R-expressing cells. Heterodimerization of S138R with wild-type 5-HT2C receptors was visualized in living cells using confocal fluorescence resonance energy transfer (FRET). FRET was dependent on the donor/acceptor ratio and independent of the receptor expression level. Therefore, inactive 5-HT2C receptors inhibit wild-type 5-HT2C receptor function by forming nonfunctional heterodimers expressed on the plasma membrane. These results are consistent with a model in which one GPCR dimer binds two molecules of ligand and one G-protein and indicate that dimerization is essential for 5-HT receptor function.     

Unraveling the impact of lipid domains on the dimerization processes of single-molecule EGFRs of live cells

Epidermal growth factor receptor (EGFR/ErbB1) is a transmembrane protein that can drive cell growth and survival via the ligand-induced dimerization of receptors. Because dimerization is a common mechanism for signal transduction, it is important to improve our understanding of how the dimerization process and membrane structure regulate signal transduction. In this study, we examined the effect of lipid nanodomains on the dimerization process of EGFR molecules. We discovered that after ligand binding, EGFR molecules may move into lipid nanodomains. The lipid nanodomains surrounding two liganded EGFRs can merge during their correlated motion. The transition rates between different diffusion states of liganded EGFR molecules are regulated by the lipid domains. Our method successfully captures both the sensitivity of single-molecule processes and statistic accuracy of data analysis, providing insight into the connection between the mobile clustering process of receptors and the hierarchical structure of plasma membrane.     

Turing instabilities in a mathematical model for signaling networks

GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to localize in parts of the membranes and to induce cell polarity. As feedback loops contribute to the GTPase cycle and as the coupling between membrane-bound and cytoplasmic processes introduces different diffusion coefficients a Turing mechanism is a natural candidate for this symmetry breaking. We formulate a mathematical model that couples a reaction–diffusion system in the inner volume to a reaction–diffusion system on the membrane via a flux condition and an attachment/detachment law at the membrane. We present a reduction to a simpler non-local reaction–diffusion model and perform a stability analysis and numerical simulations for this reduction. Our model in principle does support Turing instabilities but only if the lateral diffusion of inactivated GTPase is much faster than the diffusion of activated GTPase.     

Analysis of the rate-limiting step in a ligand-cell receptor interaction: the immunoglobulin E system

Theory predicts that the kinetics of simple interactions between a ligand and a receptor bound on the surface of a cell will be affected by the occupancy of receptors on the same cell. In a diffusion-limited reaction the effect will be on the rate of dissociation but not on the rate of association until the cell is virtually saturated with ligand. If the rate of reaction is not diffusion limited, then the opposite holds; i.e., the forward velocities will be proportional to the concentration of vacant receptors, but the reverse reactions will not be. We examined the kinetics of reaction between immunoglobulin E (IgE) and its receptor and clearly demonstrated that the reaction is not diffusion controlled. The substantial (congruent to 30-fold) increase in the forward rate constant observed for the reaction of IgE with solubilized receptors as opposed to cell-bound receptors is therefore not an artifact of calculation. Since the reverse rate constants show little difference, we postulate that the presence of other surface components (rather than conformational differences in the receptor) affects the reaction with the cells. As an aid to the analysis, the theory has been extended so that not only the rate constants but also the entire course of the reaction of ligand with cell receptors can be predicted for diffusion-limited vs. non-diffusion-limited interactions.     

Exclusion of lipid rafts and decreased mobility of CD94/NKG2A receptors at the inhibitory NK cell synapse

CD94/NKG2A is an inhibitory receptor expressed by most human natural killer (NK) cells and a subset of T cells that recognizes human leukocyte antigen E (HLA-E) on potential target cells. To elucidate the cell surface dynamics of CD94/NKG2A receptors, we have expressed CD94/NKG2A-EGFP receptors in the rat basophilic leukemia (RBL) cell line. Photobleaching experiments revealed that CD94/NKG2A-EGFP receptors move freely within the plasma membrane and accumulate at the site of contact with ligand. The enriched CD94/NKG2A-EGFP is markedly less mobile than the nonligated receptor. We observed that not only are lipid rafts not required for receptor polarization, they are excluded from the site of receptor contact with the ligand. Furthermore, the lipid raft patches normally observed at the sites where FcepsilonR1 activation receptors are cross-linked were not observed when CD94/NKG2A was coengaged along with the activation receptor. These results suggest that immobilization of the CD94/NKG2A receptors at ligation sites not only promote sustenance of the inhibitory signal, but by lipid rafts exclusion prevent formation of activation signaling complexes.     

ASSOCIATION OF MURINE SPLENOCYTE CD3 COMPLEX TO THE CYTOSKELETON: ABSENCE OF MODULATION BY EXOGENOUS FATTY ACIDS

The cytoplasmic regions of the CD3 complex are presumably involved in signal transduction following ligand—receptor binding. We investigated the effects of incubating either stearic or oleic acid on the association of murine lymphocyte CD3 complex with the cytoskeleton. Both cytochalasin D, an inhibitor of microfilament formation, and W7, an inhibitor of calmodulin, inhibited capping of CD3. The association of CD3 with the cytoskeleton was confirmed by confocal laser scanning microscopy studies, which showed co-localization of the cross-linked CD3 receptors and the membrane attachment proteins ankyrin and fodrin. Although exogenous oleic acid increased plasma membrane fluidity, neither expression nor capping of CD3 receptors was increased. Nonetheless, oleic acid did increase uptake of tritiated thymidine after binding of anti-CD3 antibodies. Lymphoproliferation was progressively inhibited by both cytochalasin D and W7, confirming the importance of intact cytoskeleton for cellular activation.     

Disrupting microtubule network immobilizes amoeboid chemotactic receptor in the plasma membrane

Signaling cascades are initiated in the plasma membrane via activation of one molecule by another. The interaction depends on the mutual availability of the molecules to each other and this is determined by their localization and lateral diffusion in the cell membrane. The cytoskeleton plays a very important role in this process by enhancing or restricting the possibility of the signaling partners to meet in the plasma membrane. In this study we explored the mode of diffusion of the cAMP receptor, cAR1, in the plasma membrane of Dictyostelium discoideum cells and how this is regulated by the cytoskeleton. Single-particle tracking of fluorescently labeled cAR1 using Total Internal Reflection Microscopy showed that 70% of the cAR1 molecules were mobile. These receptors showed directed motion and we demonstrate that this is not because of tracking along the actin cytoskeleton. Instead, destabilization of the microtubules abolished cAR1 mobility in the plasma membrane and this was confirmed by Fluorescence Recovery after Photobleaching. As a result of microtubule stabilization, one of the first downstream signaling events, the jump of the PH domain of CRAC, was decreased. These results suggest a role for microtubules in cAR1 dynamics and in the ability of cAR1 molecules to interact with their signaling partners.     

Transient activation of the NADPH oxidase through Fc gamma RI. Oxidase deactivation precedes internalization of cross-linked receptors

It is well known that Fc gamma R mediate the rapid release of agents of inflammation and, in addition, play an important role in the uptake of stimulatory antibody complexes. Activation of the FcR for human IgG1 (Fc gamma RI) on human monocytic cells triggers a transient activation of the NADPH oxidase. In this study, we tested the possibility that transience of the NADPH oxidase activation might have been the result of rapid internalization of cross-linked Fc gamma RI. Stimulatory receptor moieties were formed by cross-linking Fc gamma RI with receptor-specific mAb that are known to trigger superoxide anion release. The formation of the stimulatory receptor units was determined by quantitating the rate of superoxide anion production through its reduction of cytochrome c. This rate has been found to correlate with the rate of binding of cross-linking antibody and, therefore, the rate of formation of the stimulatory moieties (receptor aggregates). Internalization of cross-linked Fc gamma RI was measured by quantitation of cell-associated FITC-labeled Fc gamma RI-specific mAb resistant to acid elution. We found that cross-linking antibody bound to Fc gamma RI continued to be taken up by the cells well after cessation of oxidase activity. The constant rate of uptake and the differential effect of temperature on these two functions suggested that they are separately regulated. Quantitation of cross-linked receptors that were inactive, i.e., no longer stimulating superoxide anion production, indicated that 50% of internalizable, and therefore cross-linked, Fc gamma RI remained on the surface after oxidase activity had ceased. This evidence of cessation of oxidase activity before the endocytic uptake of mAb/R stimulatory units indicates that the activated state of surface cross-linked Fc gamma RI is of brief duration and that occupation of the receptors by cross-linking-ligand does not sustain the activated state of the receptor. Thus, Fc gamma RI-mediated oxidase activation is temporally limited to the formation of the stimulatory receptor moiety.