Development of 3-(4-Chlorophenyl)-1-(phenethyl)urea Analogues as Allosteric Modulators of the Cannabinoid Type-1 Receptor: RTICBM-189 is Brain Penetrant and Attenuates Reinstatement of Cocaine-Seeking Behavior

We have shown that CB₁ receptor negative allosteric modulators (NAMs) attenuated the reinstatement of cocaine-seeking behaviors in rats. In an effort to further define the structure-activity relationships and assess the druglike properties of the 3-(4-chlorophenyl)-1-(phenethyl)urea-based CB₁ NAMs that we recently reported, we introduced substituents of different electronic properties and sizes to the phenethyl group and evaluated their potency in CB₁ calcium mobilization, cAMP, and GTPγS assays. We found that 3-position substitutions such as Cl, F, and Me afforded enhanced CB₁ potency, whereas 4-position analogues were generally less potent. The 3-chloro analogue (31, RTICBM-189) showed no activity at >50 protein targets and excellent brain permeation but relatively low metabolic stability in rat liver microsomes. Pharmacokinetic studies in rats confirmed the excellent brain exposure of 31 with a brain/plasma ratio K_p of 2.0. Importantly, intraperitoneal administration of 31 significantly and selectively attenuated the reinstatement of the cocaine-seeking behavior in rats without affecting locomotion.

Interdependent allosteric free fatty acid receptor 2 modulators synergistically induce functional selective activation and desensitization in neutrophils

The non-activating allosteric modulator AZ1729, specific for free fatty acid receptor 2 (FFAR2), transfers the orthosteric FFAR2 agonists propionate and the P2Y₂R specific agonist ATP into activating ligands that trigger an assembly of the neutrophil superoxide generating NADPH-oxidase. The homologous priming effect on the propionate response and the heterologous receptor cross-talk sensitized ATP response mediated by AZ1729 are functional characteristics shared with Cmp58, another non-activating allosteric FFAR2 modulator. In addition, AZ1729 also turned Cmp58 into a potent activator of the superoxide generating neutrophil NADPH-oxidase, and in agreement with the allosteric modulation concept, the effect was reciprocal in that Cmp58 turned AZ1729 into a potent activating allosteric agonist. The activation signals down-stream of FFAR2 when stimulated by the two interdependent allosteric modulators were biased in that, unlike for orthosteric agonists, the two complementary modulators together triggered an activation of the NADPH-oxidase, but not any transient rise in the cytosolic concentration of free calcium ions (Ca²⁺). Furthermore, following AZ1729/Cmp58 activation, the signaling by the desensitized FFAR2s was functionally selective in that the orthosteric agonist propionate could still induce a transient rise in intracellular Ca²⁺. The novel neutrophil activation and receptor down-stream signaling pattern mediated by the two cross-sensitizing allosteric FFAR2 modulators represent a new regulatory mechanism that controls receptor signaling.

Discovery and Characterization of a Cellular Potent Positive Allosteric Modulator of the Polycomb Repressive Complex 1 Chromodomain, CBX7

Polycomb-directed repression of gene expression is frequently misregulated in human diseases. A quantitative and target-specific cellular assay was utilized to discover the first potent positive allosteric modulator (PAM) peptidomimetic, UNC4976, of nucleic acid binding by CBX7, a chromodomain methyl-lysine reader of Polycomb repressive complex 1. The PAM activity of UNC4976 resulted in enhanced efficacy across three orthogonal cellular assays by simultaneously antagonizing H3K27me3-specific recruitment of CBX7 to target genes while increasing non-specific binding to DNA and RNA. PAM activity thereby reequilibrates PRC1 away from H3K27me3 target regions. Together, our discovery and characterization of UNC4976 not only revealed the most cellularly potent PRC1-specific chemical probe to date, but also uncovers a potential mechanism of Polycomb regulation with implications for non-histone lysine methylated interaction partners.

Design, Synthesis, and Characterization of Ogerin-Based Positive Allosteric Modulators for G Protein-Coupled Receptor 68 (GPR68)

G protein-coupled receptor 68 (GPR68) is an understudied orphan G protein-coupled receptor (GPCR). It is expressed most abundantly in the brain, potentially playing important roles in learning and memory. Pharmacological studies with GPR68 have been hindered by lack of chemical tools that can selectively modulate its activity. We previously reported the first small-molecule positive allosteric modulator (PAM), ogerin (1), and showed that 1 can potentiate proton activity at the GPR68-G_s pathway. Here, we report the first comprehensive structure-activity relationship (SAR) study on the scaffold of 1. Our lead compound resulted from this study, MS48107 (71), displayed 33-fold increased allosteric activity compared to 1. Compound 71 demonstrated high selectivity over closely related proton GPCRs and 48 common drug targets, and was bioavailable and brain-penetrant in mice. Thus, our SAR study has resulted in an improved GPR68 PAM for investigating the physiological and pathophysiological roles of GPR68 in vitro and in vivo.

Diarylureas Containing 5-Membered Heterocycles as CB1 Receptor Allosteric Modulators: Design, Synthesis, and Pharmacological Evaluation

Allosteric modulators have attracted significant interest as an alternate strategy to modulate CB₁ receptor signaling for therapeutic benefits that may avoid the adverse effects associated with orthosteric ligands. Here we extended our previous structure-activity relationship studies on the diarylurea-based CB₁ negative allosteric modulators (NAMs) by introducing five-membered heterocycles to replace the 5-pyrrolidinylpyridinyl group in PSNCBAM-1 (1), one of the first generation CB₁ allosteric modulators. Many of these compounds had comparable potency to 1 in blocking the CB₁ agonist CP55,940 stimulated calcium mobilization and [³⁵S]GTP-γ-S binding. Similar to 1, most compounds showed positive cooperativity by increasing [³H]CP55,940 binding, consistent with the positive allosteric modulator (PAM)-antagonist mechanism. Interestingly, these compounds exhibited differences in ability to increase specific binding of [³H]CP55,940 and decrease binding of the antagonist [³H]SR141716. In saturation binding studies, only increases in [³H]CP55,940 B_max, but not K_d, were observed, suggesting that these compounds stabilize low affinity receptors into a high affinity state. Among the series, the 2-pyrrolyl analogue (13) exhibited greater potency than 1 in the [³⁵S]GTP-γ-S binding assay and significantly enhanced the maximum binding level in the [³H]CP5,5940 binding assay, indicating greater CB₁ receptor affinity and/or cooperativity.

In memory of Norman Bowery (1944-2016)

This article is in memory of Professor Norman Bowery (1944-2016). Norman was a pharmacologist who spent most of his career researching the pharmacology of γ-aminobutyric acid (GABA). He discovered a novel metabotropic receptor subtype, GABA_B, that is pharmacologically, and structurally different from the original ionotropic receptor now designated as GABA_A. In his research he also studied the neurotransmitters glutamate and substance P, two molecules whose release in parts of the spinal cord is inhibited by baclofen a GABA_B receptor agonist. Norman was interested in the therapeutic potential of interacting with the GABA_B receptor, in particular spasticity, pain and absence epilepsy.

Detailed Characterization of the In Vitro Pharmacological and Pharmacokinetic Properties of N-(2-Hydroxybenzyl)-2,5-Dimethoxy-4-Cyanophenylethylamine (25CN-NBOH), a Highly Selective and Brain-Penetrant 5-HT2A Receptor Agonist

Therapeutic interest in augmentation of 5-hydroxytryptamine_2A (5-HT_2A) receptor signaling has been renewed by the effectiveness of psychedelic drugs in the treatment of various psychiatric conditions. In this study, we have further characterized the pharmacological properties of the recently developed 5-HT₂ receptor agonist N-2-hydroxybenzyl)-2,5-dimethoxy-4-cyanophenylethylamine (25CN-NBOH) and three structural analogs at recombinant 5-HT_2A, 5-HT_2B, and 5-HT_2C receptors and investigated the pharmacokinetic properties of the compound. 25CN-NBOH displayed robust 5-HT_2A selectivity in [³H]ketanserin/[³H]mesulergine, [³H]lysergic acid diethylamide and [³H]Cimbi-36 binding assays (K_i^2C/K_i^2A ratio range of 52-81; K_i^2B/K_i^2A ratio of 37). Moreover, in inositol phosphate and intracellular Ca²⁺ mobilization assays 25CN-NBOH exhibited 30- to 180-fold 5-HT_2A/5-HT_2C selectivities and 54-fold 5-HT_2A/5-HT_2B selectivity as measured by Δlog(R_max/EC₅₀) values. In an off-target screening 25CN-NBOH (10 μM) displayed either substantially weaker activity or inactivity at a plethora of other receptors, transporters, and kinases. In a toxicological screening, 25CN-NBOH (100 μM) displayed a benign acute cellular toxicological profile. 25CN-NBOH displayed high in vitro permeability (P_app = 29 × 10^-6 cm/s) and low P-glycoprotein-mediated efflux in a conventional model of cellular transport barriers. In vivo, administration of 25CN-NBOH (3 mg/kg, s.c.) in C57BL/6 mice mice produced plasma and brain concentrations of the free (unbound) compound of ∼200 nM within 15 minutes, further supporting that 25CN-NBOH rapidly penetrates the blood-brain barrier and is not subjected to significant efflux. In conclusion, 25CN-NBOH appears to be a superior selective and brain-penetrant 5-HT_2A receptor agonist compared with (±)-2,5-dimethoxy-4-iodoamphetamine (DOI), and thus we propose that the compound could be a valuable tool for future investigations of physiologic functions mediated by this receptor.

Allosteric Modulation: An Alternate Approach Targeting the Cannabinoid CB1 Receptor

The cannabinoid CB1 receptor is a G protein coupled receptor and plays an important role in many biological processes and physiological functions. A variety of CB1 receptor agonists and antagonists, including endocannabinoids, phytocannabinoids, and synthetic cannabinoids, have been discovered or developed over the past 20 years. In 2005, it was discovered that the CB1 receptor contains allosteric site(s) that can be recognized by small molecules or allosteric modulators. A number of CB1 receptor allosteric modulators, both positive and negative, have since been reported and importantly, they display pharmacological characteristics that are distinct from those of orthosteric agonists and antagonists. Given the psychoactive effects commonly associated with CB1 receptor agonists and antagonists/inverse agonists, allosteric modulation may offer an alternate approach to attain potential therapeutic benefits while avoiding inherent side effects of orthosteric ligands. This review details the complex pharmacological profiles of these allosteric modulators, their structure-activity relationships, and efforts in elucidating binding modes and mechanisms of actions of reported CB1 allosteric modulators. The ultimate development of CB1 receptor allosteric ligands could potentially lead to improved therapies for CB1-mediated neurological disorders.

Structure-activity relationships of substituted 1H-indole-2-carboxamides as CB1 receptor allosteric modulators

A series of substituted 1H-indole-2-carboxamides structurally related to compounds Org27569 (1), Org29647 (2) and Org27759 (3) were synthesized and evaluated for CB1 allosteric modulating activity in calcium mobilization assays. Structure-activity relationship studies showed that the modulation potency of this series at the CB1 receptor was enhanced by the presence of a diethylamino group at the 4-position of the phenyl ring, a chloro or fluoro group at the C5 position and short alkyl groups at the C3 position on the indole ring. The most potent compound (45) had an IC₅₀ value of 79 nM which is ∼2.5 and 10 fold more potent than the parent compounds 3 and 1, respectively. These compounds appeared to be negative allosteric modulators at the CB1 receptor and dose-dependently reduced the Emax of agonist CP55,940. These analogs may provide the basis for further optimization and use of CB1 allosteric modulators.

International Union of Basic and Clinical Pharmacology. XC. multisite pharmacology: recommendations for the nomenclature of receptor allosterism and allosteric ligands

Allosteric interactions play vital roles in metabolic processes and signal transduction and, more recently, have become the focus of numerous pharmacological studies because of the potential for discovering more target-selective chemical probes and therapeutic agents. In addition to classic early studies on enzymes, there are now examples of small molecule allosteric modulators for all superfamilies of receptors encoded by the genome, including ligand- and voltage-gated ion channels, G protein-coupled receptors, nuclear hormone receptors, and receptor tyrosine kinases. As a consequence, a vast array of pharmacologic behaviors has been ascribed to allosteric ligands that can vary in a target-, ligand-, and cell-/tissue-dependent manner. The current article presents an overview of allostery as applied to receptor families and approaches for detecting and validating allosteric interactions and gives recommendations for the nomenclature of allosteric ligands and their properties.

Biased signalling and allosteric machines: new vistas and challenges for drug discovery

Seven transmembrane receptors (7TMRs) are nature's prototype allosteric proteins made to bind molecules at one location to subsequently change their shape to affect the binding of another molecule at another location. This paper attempts to describe the divergent 7TMR behaviours (i.e. third party allostery, receptor oligomerization, biased agonism) observed in pharmacology in terms of a homogeneous group of allosteric behaviours. By considering the bodies involved as a vector defined by a modulator, conduit and guest, these activities can all be described by a simple model of functional allostery made up of the Ehlert allosteric model and the Black/Leff operational model. It will be shown how this model yields parameters that can be used to characterize the activity of any ligand or protein producing effect through allosteric interaction with a 7TMR.

Ligand detection in the allosteric world

Historically, traditional screening for ligands has been optimized to detect standard orthosteric agonists and antagonists. However, with increasing emphasis on cellular functional screens, more allosteric ligands are being discovered as potential drugs. In addition, there are theoretical reasons (increased selectivity, better control of physiological systems, separate control of affinity and efficacy) allosteric ligands may be preferred therapeutic chemical targets. These factors may make it desirable to design high-throughput screens to specifically detect functionally allosteric ligands. This article discusses the unique features of allosteric ligands as drugs as well as the special conditions that should be considered to optimize a high-throughput screen toward the detection of allosteric drugs. Finally, the likelihood of detecting allosteric ligands that have direct effects on cells (either conventional agonism or functionally selective effects) is discussed as well as the optimization of detection of such ligands in screening assays.

'7TM receptor allostery: putting numbers to shapeshifting proteins

Protein allosterism is the change in protein reactivity at one site arising from a molecule binding on the protein at another site. Although allosterism traditionally has been discussed in terms of affinity changes of receptors, the increasing use of functional pharmacological assays makes it mandatory to consider effects on both the affinity and the efficacy. Antagonism of agonist response can occur allosterically by reduction of affinity and/or efficacy but the antagonist will have different properties depending on which of these is primarily affected. This paper discusses the collective behaviors of seven transmembrane (7TM) receptors as allosteric systems that have a modulator (ligand or protein) that interacts and transmits information through a conduit (receptor) to a guest (either other ligand, interacting protein or cytosolic protein). Such receptor allostery can be discussed as vectorial transfers of information from ligand-binding domains ('classical' modulator allosterism) to the cytosol (functional selectivity) and along the plane of the membrane (receptor dimerization).

Cellular assays as portals to seven-transmembrane receptor-based drug discovery

As technology advances to the point at which various behaviours of seven-transmembrane (7TM) receptors (also known as G protein-coupled receptors (GPCRs)) can be observed individually, it is clear that, rather than being 'on-off' switches, 7TM receptors are more akin to 'microprocessors' of information. This has introduced the phenomenon of functional selectivity, whereby certain ligands initiate only portions of the signalling mechanisms mediated by a given receptor, which has opened new horizons for drug discovery. The need to discover new 7TM receptor-ligand behaviours and quantify the effect of the drug on these complex systems, to guide medicinal chemistry, puts the pharmacological assay into the spotlight. This Perspective outlines the return to whole-system assays from reductionist recombinant systems, and discusses how the efficacy of a drug is linked to the particular assay used to observe its effects. It also highlights how these new assays are adding value to the drug discovery process.

The relative activity of "function sparing" HIV-1 entry inhibitors on viral entry and CCR5 internalization: is allosteric functional selectivity a valuable therapeutic property?

Six allosteric HIV-1 entry inhibitor modulators of the chemokine (C-C motif) receptor 5 (CCR5) receptor are compared for their potency as inhibitors of HIV-1 entry [infection of human osteosarcoma (HOS) cells and peripheral blood mononuclear cells (PBMC)] and antagonists of chemokine (C-C motif) ligand 3-like 1 [CCL3L1]-mediated internalization of CCR5. This latter activity has been identified as a beneficial action of CCL3L1 in prolonging survival after HIV-1 infection ( Science 307: 1434-1440, 2005 ). The allosteric nature of these modulators was further confirmed with the finding of a 58-fold (HOS cells) and 282-fold (PBMC) difference in relative potency for blockade of CCL3L1-mediated internalization versus HIV-1 entry. For the CCR5 modulators, statistically significant differences in this ratio were found for maraviroc, vicriviroc, aplaviroc, Sch-C, TAK652, and TAK779. For instance, although TAK652 is 13-fold more potent as an HIV-1 inhibitor (over blockade of CCL3L1-mediated CCR5 internalization), this ratio of potency is reversed for Sch-C (22-fold more potent for CCR5-mediated internalization over HIV-1 entry). Quantitative analyses of the insurmountable antagonism of CCR5 internalization by these ligands suggest that all of them reduce the efficacy of CCL3L1 for CCR5 internalization. The relatively small magnitude of dextral displacement accompanying the depression of maximal responses for aplaviroc, maraviroc and vicriviroc suggests that these modulators have minimal effects on CCL3L1 affinity, although possible receptor reserve effects obscure complete interpretation of this effect. These data are discussed in terms of the possible benefits of sparing natural CCR5 chemokine function in HIV-1 entry inhibition treatment for AIDS involving allosteric inhibitors.

Seven transmembrane receptors as nature's prototype allosteric protein: de-emphasizing the geography of binding

The article in this issue by Redka et al. (p. 834) illustrates some interesting interactions between classified orthosteric (bind to the same recognition site as endogenous agonist) and allosteric (bind to a different site) ligands. Of particular interest are the methods used to deal with an obfuscating factor in these kinds of studies, namely the propensity of seven transmembrane receptors to form dimers and thus demonstrate allosteric effects through binding at the orthosteric site. The judicious use of kinetics to detect and quantify allosteric action also is demonstrated. The various unique properties of allosteric modulators are discussed in the context of the increasing prevalence of allosteric ligands as investigational drugs.

Pharmacological onomastics: what's in a name?

Drugs are named for their primary receptor target and overt action (agonism, antagonism) but the observation of multiple or collateral efficacies emanating from drugs activating a single receptor target is posing a challenge for drug classification and nomenclature. With increasing abilities to detect alteration in cellular function has come the identification of efficacies that are not necessarily manifest in obvious changes in cell response. Specifically, some agonists selectively activate cellular pathways, demonstrate phenotypic behaviour associated with cell type and some antagonists actively induce receptor internalization without activation. In addition, the effects of allosteric modulators can be linked to the nature of the co-binding ligand posing a similar complication in classification and naming. Thus, accurate labels for this new generation of selective drugs may require identification of receptor partners (G-protein type, beta-arrestin) or pathway or, in the case of allosteric modulators, identification of co-binding ligands. The association of distinct phenotypic behaviours with molecules opens the opportunity to better associate clinical effects with distinct pharmacological properties.

Pharmacological regulation of insulin secretion in MIN6 cells through the fatty acid receptor GPR40: identification of agonist and antagonist small molecules

1. Long chain fatty acids have recently been identified as agonists for the G protein-coupled receptors GPR40 and GPR120. Here, we present the first description of GW9508, a small-molecule agonist of the fatty acid receptors GPR40 and GPR120. In addition, we also describe the pharmacology of GW1100, a selective GPR40 antagonist. These molecules were used to further investigate the role of GPR40 in glucose-stimulated insulin secretion in the MIN6 mouse pancreatic beta-cell line. 2. GW9508 and linoleic acid both stimulated intracellular Ca2+ mobilization in human embryonic kidney (HEK)293 cells expressing GPR40 (pEC50 values of 7.32+/-0.03 and 5.65+/-0.06, respectively) or GPR120 (pEC50 values of 5.46+/-0.09 and 5.89+/-0.04, respectively), but not in the parent HEK-293 cell line. 3. GW1100 dose dependently inhibited GPR40-mediated Ca2+ elevations stimulated by GW9508 and linoleic acid (pIC50 values of 5.99+/-0.03 and 5.99+/-0.06, respectively). GW1100 had no effect on the GPR120-mediated stimulation of intracellular Ca2+ release produced by either GW9508 or linoleic acid. 4. GW9508 dose dependently potentiated glucose-stimulated insulin secretion in MIN6 cells, but not in primary rat or mouse islets. Furthermore, GW9508 was able to potentiate the KCl-mediated increase in insulin secretion in MIN6 cells. The effects of GW9508 on insulin secretion were reversed by GW1100, while linoleic acid-stimulated insulin secretion was partially attenuated by GW1100. 5. These results add further evidence to a link between GPR40 and the ability of fatty acids to acutely potentiate insulin secretion and demonstrate that small-molecule GPR40 agonists are glucose-sensitive insulin secretagogues.

Peptide, Peptidomimetic and Small-molecule Drug Discovery Targeting HIV-1 Host-cell Attachment and Entry through gp120, gp41, CCR5 and CXCR4+

This review highlights selected examples of peptide, peptidomimetic and small-molecule drug discovery targeting HIV-1 to advance novel anti-HIV pharmaceuticals that inhibit initial stages of the viral cycle; namely, attachment and entry. Some of these approaches have culminated in the development of peptide-based drugs, while other have exploited peptides as enabling tools toward the identification of small-molecule lead compounds. Both of these conceptually different approaches have facilitated lead optimization of molecules with complementary and often surprising anti-HIV pharmacological properties, supporting their role in pharmaceutical development. Furthermore, such molecules enabled mechanistic elucidation of viral attachment and entry and provided additional insights toward achieving the desired drug profile.

Quantitation in receptor pharmacology

The activity of drugs on receptors can be visualized in appropriate systems. However, for comparisons of activity to be made, these effects must be quantified. The common currency for this quantitation is the dose-response curve. Thus, the shape, location (along the concentration axis), and maximal asymptote of dose-response curves are used to quantify drug activity and comparisons to mathematical models of receptors are made to describe mechanism of action. This review cites examples of where these quantitative procedure yield information beyond what is readily apparent through observation of the data and thus support the use of quantitative methods to maximize the information gained from experiments.

Uncovering biases in high throughput screens of G-protein coupled receptors

The ability of high throughput membrane binding assays to detect ligands for G-protein coupled receptors was examined using mathematical models. Membrane assay models were developed using the extended ternary complex model (Samama et al., 1993) as a basis. Ligand binding to whole cells was modeled by adding a G-protein activation step. Results show that inverse agonists bind more slowly and with a lower affinity to receptors in the membrane binding assay than to receptors in whole cells, causing the membrane assay to miss pharmaceutically important inverse agonists. Assay modifications to allow detection of inverse agonists are discussed. Finally, kinetic binding data are shown to provide information about ligand efficacy. This work demonstrates the utility of mathematical modeling in detecting biases in drug-screening assay, and also in suggesting techniques to correct those biases.

Protean effects of a natural peptide agonist of the G protein-coupled secretin receptor demonstrated by receptor mutagenesis

G protein-coupled receptors initiate signaling cascades after associating with heterotrimeric G proteins. This is typically initiated by agonist binding, but can also occur spontaneously, particularly in receptors bearing distinct missense mutations. Two such mutations in the parathyroid hormone receptor are associated with constitutive activity, manifesting clinically as Jansen's metaphyseal chondroplasia. We introduce analogous mutations separately and together into the secretin receptor to explore their impact on another family member. Constructs were expressed transiently in COS cells, and had binding and signaling (cAMP generation) studied. Each construct was processed appropriately to lead to cell surface expression and signaling. Secretin bound to the wild-type receptor with two affinity states recognized, 1% of sites in the high affinity state (Ki = 0.5 +/- 0.1 nM) and 99% in the low affinity state (Ki = 23 +/- 3 nM). Mutant receptor binding best fit a single affinity state, having values for Ki of 5 +/- 1 nM (H156R), 8 +/- 1 nM (T322P) and 6 +/- 1 nM (H156R/T322P), with each of these demonstrating a shift to higher affinity than the predominent low affinity state of the wild-type receptor. Each mutant receptor expressed small to moderate constitutive activity, with basal levels of cAMP activity greater than control (P < .01): H156R, 1.4-fold; T322P, 4.5-fold and H156R/T322P, 6.8-fold. The level of basal activity of even the most active construct was only 15% of the maximal response of wild-type receptor. Although each of the single site mutants responded to secretin by increasing their cAMP levels in a concentration-dependent manner, the dual mutant decreased its cAMP in response to hormone (EC50 = 13 nM). Thus, a natural agonist had become an inverse agonist at this unique construct. Because this could reflect reduced normal coupling with Gs or increased aberrant coupling with Gi, the mechanism was further explored using pertussis toxin and a stable analogue of GTP. Although ligand-binding determinants were retained in the dual receptor mutant, the conformation of this receptor upon secretin binding effected a reduction in its basal coupling with Gs, thereby resulting in inverse agonism.

A mathematical model for analysis of pharmacologically induced changes in the kinetics of cardiac muscle

A mathematical model of the isometric contraction of cardiac muscle is developed and utilized to characterize the inotropic and lusitropic effects of cardioactive compounds in isolated guinea pig left atria. In contrast to metrics that are based on minima and maxima of an isometric twitch and its derivative function, the entire time course of the twitch is used to quantify the kinetics of the contraction-relaxation cycle. The model relates observed tension to a time-dependent activation function that describes generation of internal force and a coupling function that determines mechanical response to the activation function. The model is structured so that it is suitable for nonlinear curve fitting to observed data. Results obtained using the model for fitting experimental data from tissues treated with different classes of cardioactive compounds agree with more qualitative results presented by other authors. Experiments using the model to fit data over an extended (90 min) time course revealed differences in the kinetic profiles of milrinone and forskolin. Computer simulations that demonstrate the effect of each model parameter on twitch kinetics are presented, and the relationships between the model and other theoretical and empirical models of cardiac muscle are discussed. The mathematical model is useful to enable a more quantitative understanding of the kinetics of cardiac muscle contraction and relaxation and identify compounds that may be selective for inotropic or lusitropic effects.

The cubic ternary complex receptor-occupancy model. III. resurrecting efficacy

Early work in pharmacology characterized the interaction of receptors and ligands in terms of two parameters, affinity and efficacy, an approach we term the bipartite view. A precise formulation of efficacy only exists for very simple pharmacological models. Here we extend the notion of efficacy to models that incorporate receptor activation and G-protein coupling. Using the cubic ternary complex model, we show that efficacy is not purely a property of the ligand-receptor interaction; it also depends upon the distributional details of the receptor species in the native receptor ensemble. This suggests a distinction between what we call potential efficacy (a vector) and realized efficacy (a scalar). To each receptor species in the native receptor ensemble we assign a part-worth utility; taken together these utilities comprise the potential efficacy vector. Realized efficacy is the expectation of these part-worth utilities with respect to the frequency distribution of receptor species in the native receptor ensemble. In the parlance of statistical decision theory, the binding of a ligand to a receptor ensemble is a random prospect and realized efficacy is the utility of this prospect. We explore the implications that our definition of efficacy has for understanding agonism and in assessing the legitimacy of the bipartite view in pharmacology.

Use of resampling techniques to estimate the variance of parameters in pharmacological assays when experimental protocols preclude independent replication: an example using Schild regressions

Estimates of variance in pharmacological assays are usually made by repeating the experiment with different tissues. Biological factors, such as the inability to wash a drug from tissue, may preclude the type of replication that is appropriate for the statistics of interest. For example, in Schild regressions, replication is usually done at each concentration of antagonist. In some test systems, replication of dose-response curves is not possible. For example, some persistent agonists cannot be removed from tissues after exposure, while in other systems, rapid desensitization severely alters tissue sensitivity to repeated challenge with agonist. In this paper, we demonstrate how a statistical resampling method, bootstrapping, can be used to derive estimates of the confidence intervals for pA2, pKB, and slope from Schild plots. This method utilizes the speed of the computer to estimate variance by repeatedly resampling the data. The advantage to this method is that it can be used for many different experimental designs. For a data set obtained from a Schild regression of atenolol antagonism of isoproterenol in the guinea pig left atrium, bootstrap estimates of confidence limits were calculated for cases where dose ratios were derived from the same tissue and randomly paired tissues. These estimates showed good agreement with estimates obtained using conventional analytical methods, thus suggesting that this method may be useful in practice.

Physiological effects of inverse agonists in transgenic mice with myocardial overexpression of the beta 2-adrenoceptor

G-protein-coupled receptors are thought to have an inactive conformation (R), requiring an agonist-induced conformational change for receptor/G-protein coupling. But new evidence suggests a two-state model in which receptors are in equilibrium between the inactive conformation (R), and a spontaneously active conformation (R*) that can couple to G protein in the absence of ligand (Fig. 1). Classic agonists have a high affinity for R* and increase the concentration of R*, whereas inverse agonists have a high affinity for R and decrease the concentration of R*. Neutral competitive antagonists have equal affinity for R and R* and do not displace the equilibrium, but can competitively antagonize the effects both of agonists and of inverse agonists. The lack of suitable in vivo model systems has restricted the evidence for the existence of inverse agonists to computer simulations and in vitro systems. We have used a transgenic mouse model in which there is such marked myocardial overexpression of beta 2-adrenoceptors that a significant population of spontaneously activated receptor (R*) is present, inducing a maximal response without agonist. We show that the beta 2-adrenoceptor ligand ICI-118,551 functions as an inverse agonist, providing evidence supporting the existence of inverse agonists and validating the two-state model of G-protein-coupled receptor activation.

Tissue response as a functional discriminator of receptor heterogeneity: effects of mixed receptor populations on Schild regressions

A model is described that predicts the behavior of competitive antagonists in tissues with more than one receptor mediating response. The receptor stimuli for two receptor types are summed and processed, via a cellular stimulus-response mechanism, into tissue response. The primary receptor is described by a standard Langmurian isotherm, and a secondary receptor input with a variable maximal strength, for which the agonist has variable sensitivity, is added. The prediction of drug effects in this system does not depend on the way in which the two stimuli are combined or on the absolute magnitudes of the parameters used to make the calculations. The model is maximally flexible, in that no pharmacological significance is put on the magnitudes of the inputs from the secondary receptor system (i.e., they can vary with either agonist intrinsic efficacy, receptor number, or efficiency of stimulus-response coupling). The theoretical Schild regressions for selective antagonists in two-receptor systems are calculated for various secondary receptor inputs. These regressions generally are curvilinear whenever the secondary receptor significantly contributes to agonist response. These calculated data also indicate that minor variations in biological input from secondary receptor systems would obscure curvature in the Schild regression and result in a seemingly linear regression with a slope of less than unity. However, further calculations indicate three possible ways to use Schild analysis to detect receptor heterogeneity in tissues. One indicator of receptor heterogeneity is a change in the slope of the dose-response curve for the agonist in the presence of a selective antagonist. A second indicator would be a marked heteroscedasticity of errors in the Schild regression, i.e., the magnitude of the standard errors in the ordinate values would depend upon the concentration of the antagonist. A third, and most experimentally accessible, aspect of heterogeneous receptor systems predicts that changes in the overall sensitivity of organ response mechanisms will differentially alter the relative strength of two receptor inputs. This would be observed as a change in the potency of an antagonist. Under these circumstances, differences in the stimulus-response characteristics of a tissue would result in a change in the Schild regression for a selective antagonist. These concepts are discussed in terms of the use of Schild analysis in functional systems for the detection of physiologically relevant mixtures of receptors and the possible advantages over biochemical binding data.

Biphasic dose-response curves to arecoline in rat atria-mediation by a single promiscuous receptor or two receptor subtypes?

Arecoline produces a biphasic response in rat left atria, i.e., a depression of basal inotropy at low doses and a positive inotropic effect at higher doses. These present studies were designed to determine whether it can be shown that the two separate responses to arecoline are mediated by two distinct cell surface muscarinic receptors. The antagonists scopolamine, 4-DAMP and AF-DX 116 produced apparent simple competitive antagonism of the negative responses to arecoline. Schild analysis was used to measure the equilibrium dissociation constant of the antagonist-receptor complex for antagonism of this response to arecoline by these antagonists. In atria from rats treated with pertussis toxin, the negative inotropy to arecoline was abolished and only the positive inotropic effects were observed. The antagonism of the positive inotropic response to arecoline by these antagonists was studied separately in atria from rats treated with pertussis toxin by the Schild technique. The pKB estimates made from the Schild regressions indicated no evidence to suggest that the two responses to arecoline (negative and positive inotropy) were mediated by two separate receptors in rat left atria. These data are discussed in terms of a single muscarinic receptor in this tissue mediating these two responses by interaction with two G-proteins in the same cell membrane. These data also are discussed in terms of the use of agonist potency ratios for the classification of receptors.

The relative efficiency of beta adrenoceptor coupling to myocardial inotropy and diastolic relaxation: organ-selective treatment for diastolic dysfunction

The relative effects of drugs which elevate cytosolic cyclic AMP on inotropy and diastolic relaxation (lusitropy) of guinea pig atria were quantified in vitro. There was a temporal difference between these responses in that inotropy reached peak response considerably faster than lusitropy. Also, although the relaxation response was sustained to an elevated steady state, the inotropic responses to beta adrenoceptor agonists were transient and returned to base line over 90 min. However, the inotropic responses to forskolin and dibutyryl cyclic AMP (cAMP) were sustained. For all of the drugs tested, the lusitropic response was at least 4 times more sensitive than the inotropic response (i.e., the concentration response curve for relaxation was shifted to the left of the curve for inotropy). In the case of beta adrenoceptor agonists, these differences were greater, presumably because of the fading inotropic response over 90 min. It was found that although high efficacy beta adrenoceptor agonists such as isoproterenol (and the direct activator of adenylate cyclase forskolin) produced both inotropy and lusitropy, lower efficacy agonists produced predominant lusitropy. The low efficacy agonist prenalterol produced insignificant inotropy but 60% maximal lusitropy. These data were modeled mathematically by a "differential coupling model" which assumed that a uniform cytosolic level of elevated cAMP activated two biochemical processes of differing sensitivity. Thus, the lusitropic response (phosphorylation of phospholamban) was coupled more efficiently to the cAMP response than the inotropic response (phosphorylation of calcium channels). A second model ("differential messenger concentration model") which calculated the effects of a compartmentalization of cAMP concentration within the cardiac cell by restricted diffusion and/or selective degradation by phosphodiesterases also was used.(ABSTRACT TRUNCATED AT 250 WORDS)

Promiscuous or heterogeneous muscarinic receptors in rat atria? I. Schild analysis with simple competitive antagonists

Carbachol has been shown to produce a biphasic response in rat left atria. At low concentrations, carbachol depresses basal inotropy, while at high doses a positive inotropic effect is observed. The negative inotropic response can be selectively eliminated by pretreatment of rats with pertussis toxin. The aim of these studies was to determine whether or not evidence could be obtained to show that different muscarinic receptors produced these different biochemical responses to the agonist carbachol. Schild analysis was used to measure the equilibrium dissociation constant of the antagonist-receptor complex for antagonism of the negative inotropy to carbachol by atropine, scopolamine 4-diphenylacetoxy-N-methylpiperidine methiodide (4-DAMP) and AF-DX 116. The antagonism of the positive inotropic response to carbachol by these antagonists was studied in atria from rats pretreated with pertussis toxin where the negative inotropy was nearly completely abolished. In general, it was found that the antagonists did not produce simple competitive blockade of the positive inotropy but rather a nominal shift to the right of the dose-response curves followed by a depression of maximal responses. However, it was found that when pA2 or pKb values could be calculated, they coincided with those determined for the antagonism of the negative inotropy to carbachol. The conclusion drawn from these experiments was that no evidence was obtained to disprove the null hypothesis that a common receptor, interacting with two G-proteins, mediates these two effects of carbachol in rat left atria. The implications of these data for the classification of drug receptors with agonists is discussed.

Promiscuous or heterogeneous muscarinic receptors in rat atria? II. Antagonism of responses to carbachol by pirenzepine

Carbachol produces both negative and positive inotropy in rat left atria. It is not clear whether these two effects are mediated by two separate cell surface muscarinic receptors or a single receptor interacting with two coupling proteins in the cell membrane. Pirenzepine, known to selectively block some biochemical muscarinic responses, was used in this study to block the biphasic response to carbachol in rat left atria. The negative inotropy to carbachol was blocked by pirenzepine, and Schild analysis indicated a -log dissociation constant (pKb) for the pirenzepine-receptor complex of 6.2. However, the Schild analysis may have been complicated by positive inotropy observed with pirenzepine. This positive inotropic effect was sensitive to blockade by other muscarinic antagonists. In atria from rats pretreated with pertussis toxin, carbachol produced a positive inotropic effect. Schild analysis with pirenzepine for antagonism of this response indicated a -log equilibrium dissociation constant for the pirenzepine-receptor complex of 6.7, significantly different from that for antagonism of negative inotropy. This ostensibly suggested a difference in the receptors mediating these responses. In view of the possible complicating effects of the positive inotropic effects of pirenzepine in this assay, an alternative method for the measurement of pirenzepine affinity was utilized. Resultant analysis was used to measure the pKb for pirenzepine antagonism of negative inotropy to carbachol. This method had the advantage of cancelling the positive inotropy to pirenzepine. Under these circumstances, pirenzepine had a pKb of 6.9, a value not significantly different from for antagonism of the positive inotropy to carbachol. The relevance of these findings is discussed in terms of a single promiscuous muscarinic receptor or heterogeneous receptors in this tissue. These data do not support the hypothesis that two separate receptors mediate these two effects.

Theoretical effects of single and multiple transducer receptor coupling proteins on estimates of the relative potency of agonists

A mathematical model is presented that simulates the steady state kinetics of agonists interacting with a promiscuous receptor. The model system consists of a single receptor that forms a ternary complex with either of two transducer proteins (G proteins). At a given agonist concentration, the concentrations of the two ternary complexes are determined by the relative quantities of the two G proteins and the ratio of the dissociation constants for the two ternary complexes. Accordingly, the potency of an agonist is dependent upon the relative quantities of the G proteins. If receptors are truly promiscuous and if the distribution of G proteins varies with tissue type, then the agonist potency ratio would be tissue dependent as well as receptor dependent. Experimental data from literature studies are reviewed in the context of the promiscuous receptor model, and implications of the model regarding pharmacologic classification of receptors are discussed.

Challenges for receptor theory as a tool for drug and drug receptor classification

Increased understanding in the field of receptor pharmacology, born of the sophisticated techniques now available to us, has confounded rather than simplified the problem of receptor classification. The International Union of Pharmacology (IUPHAR) is currently sponsoring a Receptor Nomenclature Committee whose aims are to recommend a rational system of classification, a formidable task given the complexity and volume of data in the literature (agonist/antagonist potencies, coupling mechanisms, primary structures, etc.) that will need to be incorporated. The Committee's chairman, Terry Kenakin, outlines here the limitations of classical receptor theory for drug receptor classification and suggests that any functional classification system must take into account not only affinity and intrinsic efficacy but also, at the very least, parameters relating to the transducing properties of receptors. If this is not done, then receptor classification data obtained from studies with agonists and antagonists may be different and lead to confusion.

Classification of phenoxybenzamine/prazosin-resistant contractions of rat spleen to norepinephrine by Schild analysis: similarities and differences to postsynaptic alpha-2 adrenoceptors

The striking resistance of norepinephrine contractions of rat splenic strips to antagonism by the selective alpha-1 adrenoceptor antagonist prazosin was examined by Schild analysis. Prazosin was a simple competitive antagonist of contractions to phenylephrine indicating that this tissue possesses alpha-1 adrenoceptors. In contrast, the Schild regression for prazosin, with norepinephrine as the agonist, was nonlinear and had an overall slope of 0.24. These data indicated that norepinephrine activated a prazosin-resistant adrenoceptor in this tissue. As a working hypothesis, it was assumed that the prazosin-resistant receptor was an alpha-2 adrenoceptor; the concomitant addition of yohimbine, in concentrations below those required to block alpha-1 adrenoceptors, converted the atypical Schild regression for prazosin (norepinephrine as agonist) to a linear regression identical with that found for antagonism of phenylephrine responses. Selective alkylation of alpha-1 adrenoceptors with phenoxybenzamine (POB) eliminated responses to phenylephrine but not those to norepinephrine. After POB-alkylation and in the presence of a concentration of prazosin that was sufficient to produce a profound blockade of alpha-1 adrenoceptors, a response to norepinephrine remained. It was determined that the POB/prazosin-resistant response most likely was mediated by a homogeneous population of receptors by the finding that the Schild regressions for both yohimbine and idazoxan were identical with respect to slope and elevation when either norepinephrine or cobefrin were utilized as agonists, i.e., a difference in the regressions for these antagonists would be expected if the two agonists activated a heterogeneous receptor population.(ABSTRACT TRUNCATED AT 250 WORDS)

A method to assess concomitant cardiac phosphodiesterase inhibition and positive inotropy

The ability of positive inotropic drugs to inhibit phosphodiesterase was assessed by observance of the potentiation of inotropic responses to the low intrinsic efficacy beta-adrenoceptor partial agonist prenalterol. Previous studies have shown that an increase in tissue stimulus response capability, as is produced for beta-adrenoceptors by blockade of phosphodiesterase, produces an increase in the maximal response to beta-adrenoceptor partial agonists. Using this principle, we tested cardiotonic drugs on normal and prenalterol-pretreated guinea pig left atria and compared the resulting inotropic responses statistically. Prenalterol pretreatment did not potentiate inotropic responses to methoxamine and CaCl2 and blocked (in accordance with beta-adrenoceptor occupation by a low-efficacy partial agonist) responses to norepinephrine (NE), tyramine, and to a certain extent ouabain. This latter finding was attributed to a low-level catecholamine-release by ouabain in this tissue. The inotropic responses to the phosphodiesterase inhibitors isobutylmethylxanthine (IBMX), theophylline, and enprophylline were greatly potentiated. Similarly, the responses to the cardiotonic drugs (known also to be inhibitors of phosphodiesterase) milrinone, amrinone, and fenoximone were potentiated. Positive inotropy to the cardiotonic drug sulmazole was not significantly potentiated by this procedure, indicating that in this tissue sulmazole may produce inotropic responses by other mechanisms as well. In general, this simple assay may be useful to detect blockade of cardiac phosphodiesterase concomitant with positive inotropy. Although a causal relationship between the PDE inhibition and positive inotropy may not be made from these data, knowledge of PDE blockade may still be useful in the assessment of inotropic mechanism and propensity for toxic side effects.

Measurement of antagonist affinity for purine receptors of drugs producing concomitant phosphodiesterase blockade: the use of pharmacologic resultant analysis

It was observed experimentally that both theophylline and isobutylmethylxanthine (IBMX) produced surmountable antagonism of the agonist effects of 2-chloroadenosine on purine receptors in rat vas deferens and guinea pig atria. In the case of IBMX, there was a statistically significant difference between the Schild regressions in the two tissues, ostensibly indicating a possible purine receptor heterogeneity with respect to the binding of this antagonist. However, the analysis was complicated by the fact that both theophylline and IBMX produced positive inotropic responses in guinea pig atria (presumably by inhibition of cardiac phosphodiesterase), making the calculation of dose ratios subjective and ambiguous. To determine whether the phosphodiesterase blocking property of theophylline and IBMX was interfering with the observation of purine receptor antagonism in guinea pig atria, a new technique described as pharmacologic resultant analysis was utilized to measure the purine receptor blocking properties of theophylline and IBMX in guinea pig atria in the presence of phosphodiesterase blockade. Based on the principle of additive dose ratios for two antagonists competing for one receptor, pharmacologic resultant analysis measures the effects of a test antagonist (in this case theophylline or IBMX) on the competitive blockade of a reference antagonist; for these studies, the reference antagonist was 8-sulfophenyltheophylline. Under these circumstances, the direct effects of the test antagonist (positive inotropy) are expressed throughout the experiment and cancel with the normal null methods used for measurement of competitive antagonism. Using this technique, it was found that the potencies of both theophylline and IBMX on the purine receptors in rat vas deferens and guinea pig atria were identical. The use of this method in the delineation of multiple drug activities is discussed.

The effects on Schild regressions of antagonist removal from the receptor compartment by a saturable process

A theoretical model of the effects of a saturable removal mechanism for an antagonist diffusing into the receptor compartment of a tissue is used to calculate expected deviations in Schild regressions. At concentrations of antagonist which do not saturate the removal mechanism, there can be a deficit of antagonist in the receptor compartment as compared to the concentration of antagonist bathing the tissue. This results in a shift to the right of the Schild regression and a corresponding underestimation of antagonist potency. The model predicts that as the concentration of antagonist exceeds the Km for removal (saturation of the removal process), this concentration deficit is eliminated, resulting in a proportionate increase in antagonist concentration at the receptor and a concomitant increase in receptor antagonism. This results in a steepening of the Schild regression; the slope in the region of saturation is greater than one. Experimental evidence in support of this model was found in studies of the antagonism of responses to bethanechol by atropine in rabbit ileum; this species is known to have an atropinesterase capable of hydrolyzing atropine. The Schild regression for atropine was curvilinear with an overall slope of 1.42 (1.34-1.5) and pKB = 8.5 (8.36-8.8); in the ileum from guinea pigs, a species which does not possess this enzyme, the Schild regression for atropine was linear, had a slope not significantly different from unity (1.1; 0.95-1.2) and a pKb of 9.0 (8.9-9.2). The slope of the regression in rabbit ileum was corrected to unity by the addition of an excess concentration of methylbutyrate, an alternate substrate for atropinesterase.(ABSTRACT TRUNCATED AT 250 WORDS)

An in vitro analysis of purine-mediated renal vasoconstriction in rat isolated kidney

In the rat isolated perfused kidney, 2-chloroadenosine and L-N6-phenyl-isopropyl adenosine (L-PIA) produced a modest vasodilatation. After kidneys had been pretreated with methoxamine (to elevate vascular tone) and forskolin (to activate adenyl cyclase and reduce vascular tone), both purine agonists produced vasoconstriction at low doses and vasodilatation at higher doses. This was consistent with the working hypothesis that vasoconstriction resulted from activation of A1-purinoceptors mediating adenyl cyclase inhibition and vasodilatation from activation of A2-purinoceptors stimulating adenyl cyclase. These kidney preparations also demonstrated a marked potentiation of purine-mediated vasoconstriction in the presence of various concentrations of 8-p-sulpho-phenyltheophylline (8-SPT), a drug reported in the literature to be a competitive antagonist of A1- and A2-purinoceptors. Maximal renal vasoconstriction to 2-chloroadenosine and L-PIA was observed in the presence of 10 mM 8-SPT; the fact that this vasoconstriction was sensitive to the selective A1-receptor antagonist 8-(2-amino-4-chlorophenyl)-1,3-dipropylxanthine (PACPX) and that the order of potency of agonists for this effect was L-PIA greater than 2-chloroadenosine greater than D-PIA greater than N6-ethylcarboxamide adenosine (NECA) was consistent with activation of vascular A1-purinoceptors. While these data are consistent with the hypothesis that purines activate vascular A1- and A2-receptors in the rat isolated kidney, the nature of the results did not allow definitive classification of the receptors mediating the purine effects.

The importance of the alpha-adrenoceptor agonist activity of dobutamine to inotropic selectivity in the anaesthetized cat

Doses of dobutamine (steady-state infusions) required to increase inotropy (as measured by isovolumic indices of contractility) were lower than those required to produce tachycardia in the anaesthetized cat. When compared to isoprenaline, dobutamine produced less tachycardia for common increases in inotropy and thus demonstrated inotropic selectivity in this model. Dobutamine also produced mild pressor effects which were potentiated by beta-adrenoceptor blockade with propranolol. In efforts to define the role of the partial agonist activity of dobutamine for alpha-adrenoceptors in the production of selective inotropy the effects of dobutamine infusions were observed in cats pretreated with the alpha-adrenoceptor antagonist phentolamine. In phentolamine-treated cats dobutamine did not demonstrate inotropic selectivity and showed a relationship between increased inotropy and tachycardia which was not significantly different from that obtained with isoprenaline. In contrast, phentolamine did not change the relationship between isoprenaline-induced tachycardia and increased inotropy. These data suggest that the agonist activity of dobutamine for alpha-adrenoceptors could be responsible for selective inotropy in the anaesthetized cat probably by baroreceptor-mediated reflex modulation of heart rate and/or possible stimulation of inotropic cardiac alpha-adrenoceptors.

Self-cancellation of drug properties as a mode of organ selectivity: the antimuscarinic effects of ambenonium

Ambenonium is known to be an inhibitor of acetylcholinesterase, and recent data have shown this drug to antagonize muscarinic receptors as well. This latter property was confirmed by Schild analyses of ambenonium-induced blockade of responses to bethanechol in guinea-pig ileal longitudinal smooth muscle, taenia caeci, trachea and rat anococcygeus muscle. Statistical analysis showed ambenonium to be a simple competitive antagonist of responses to bethanechol in these tissues with pKB values in each tissue not significantly different from each other (mean pKB = 6.0). However, considerable variability in pKB estimates was encountered when ambenonium was utilized to block responses to acetylcholine. Ambenonium was a less potent antagonist of tissue responses to acetylcholine, and the underestimation in the pKB (as compared to that obtained with bethanechol) could be eliminated by prior treatment of tissues with the acetylcholinesterase inhibitor neostigmine. These data suggested that ambenonium had a dual effect on tissue responses to acetylcholine-producing potentiation by blockade of acetylcholinesterase and concomitant antagonism by blockade of muscarinic receptors. The Schild regressions obtained for ambenonium antagonism of acetylcholine responses formally satisfied criteria for simple competitive antagonism of a homogenous population of receptors (linear regression, slope equal to unity). The fact that these regressions yielded erroneous apparent pKB values suggests how two properties of a drug in one molecule could provide misleading information about drug receptors.(ABSTRACT TRUNCATED AT 250 WORDS)