Ebasal / δ (constitutive activity %)
n (transducer slope)
R (receptor reserve)
Stimulus response
Receptor occupancy
Summary
DruglogKiεEC50Emax
Notes
Black & Leff (1983); extended for inverse agonism

R in this model is adjustable for illustrative purposes only. Keep log R = 0 for quantitative use.

L (≈2.0% basal)
n (transducer slope)
R (receptor reserve)
Name
log Ki (M)
αA (intrinsic efficacy)
log Ki (M)
β (Drug B intrinsic efficacy)
[B] concentration series
Lowest log[B] (M)
Log increment
Number of [B] curves
4
Stimulus response
Receptor occupancy (Drug A)
Summary
CurveEC50EmaxDR
Schild plot
Notes
Curve shape
Graph title
X-axis label
X-axis range
Y-axis label
Y-axis range
Maximum
Minimum
Slope
Position
Potency
Maximum
Minimum
Additional curves
0
Association x-axis range
Dissociation x-axis range
log kon (k1, M−1min−1)
log koff (k2, min−1)
KD = 10 nM
log [L*] (M)
[L*] concentration series
Log interval
Number of concentrations
3
Association
Dissociation
Summary
Notes

If you have suggestions for papers to add to this list or additional comments/context you think should be added to any paper descriptions, please email admin@pharmexplorer.app

Influential Papers in Pharmacology
Langley, J.N. (1905)On the reaction of cells and of nerve-endings to certain poisons — Journal of Physiology, 33, 374–413
One of the first statements of a receptor theory, through experiments observing antagonism and acute desensitization. States clearly that the observations must be mediated by a "receptive substance" located on muscles, that produce actions in response to drugs in the absence of innervation.
Hill, A.V. (1909)The mode of action of nicotine and curari, determined by the form of the contraction curve and the method of temperature coefficients — Journal of Physiology, 39, 361–373
Math describing sigmoidal dose-response functions.
Clark, A.J. (1926)The antagonism of acetylcholine by atropine — Journal of Physiology, 61, 547–556
Established the law of mass action as the basis for drug-receptor interactions. See also: Cushny 1914, Broom & Clark 1923, and Gaddum 1926.
Gaddum, J.H. (1937)The quantitative effects of antagonist drugs — Journal of Physiology, 89, 7P–9P
Summates work from the previous decade (see: Clark 1926, Gaddum 1926, Clark 1927, Mendez 1928, and Nanda 1930) and derives the first formal equation for competitive antagonism.
Schild, H.O. (1949)pAx and competitive drug antagonism — British Journal of Pharmacology, 4, 277–280
Expands upon previous work to introduce the concept of pA2 and using Schild regression to quantitatively characterize interactions with antagonists. See also: Schild 1947 and Arunlakshana & Schild 1959.
Stephenson, R.P. (1956)A modification of receptor theory — British Journal of Pharmacology, 11, 379–393
Introduces efficacy, separating affinity from intrinsic activity. Demonstrates that an agonist need not fully occupy the receptors to produce a maximal response and that different drugs may have varying capacities to initiate a response and consequently occupy different proportions of the receptors when producing equal responses (partial agonism).
Furchgott, R.F. (1966)The use of beta-haloalkylamines in the differentiation of receptors and in the determination of dissociation constants of receptor-agonist complexes — Advances in Drug Research, 3, 21–55
Introduces the receptor inactivation method for independently determining agonist affinity and efficacy. See also: Furchgott & Bursztyn 1967.
Colquhoun, D. (1973)The relationship between classical and cooperative models for drug action — In: Drug Receptors (H.P. Rang, ed.), Macmillan
A thorough review and comparison of binding theories and the coupling of receptor binding with a functional response.
Cheng, Y. & Prusoff, W.H. (1973)Relationship between the inhibition constant (Ki) and the concentration of inhibitor which causes 50 percent inhibition (IC50) of an enzymatic reaction — Biochemical Pharmacology, 22, 3099–3108
Derives the Cheng-Prusoff equation, which converts IC50 values from competition binding experiments to Ki by correcting for radioligand concentration and affinity.
De Lean, A., Stadel, J.M., & Lefkowitz, R.J. (1980)A ternary complex model explains the agonist-specific binding properties of the adenylate cyclase-coupled beta-adrenergic receptor — Journal of Biological Chemistry, 255, 7108–7117
Introduced the ternary complex model, adding an "additional membrane component" to existing two-state models to account for receptor interactions with signaling proteins.
Black, J.W. & Leff, P. (1983)Operational models of pharmacological agonism — Proceedings of the Royal Society B, 220, 141–162
Introduces the operational model of pharmacological agonism, a stimulus-response coupling framework that relates drug-receptor occupancy to tissue response through a transducer function. Formalizes efficacy as τ (the transducer ratio), separating it from affinity and providing a quantitative basis for comparing partial and full agonists. One of the most influential models in experimental pharmacology.
Motulsky, H.J. & Mahan, L.C. (1984)The kinetics of competitive radioligand binding predicted by the law of mass action — Molecular Pharmacology, 25, 1–9
Establishes equations defining the binding kinetics of two ligands at a competitive site.
Ehlert, F.J. (1985)The relationship between muscarinic receptor occupancy and adenylate cyclase inhibition in the rabbit myocardium — Molecular Pharmacology, 28, 410–421
Experimental illustration of the ternary complex model, demonstrates that addition of GTP alters agonist binding and that the magnitude of this effect is proportional to agonist efficacy.
Samama, P. et al. (1993)A mutation-induced activated state of the beta2-adrenergic receptor — Journal of Biological Chemistry, 268, 4625–4636
Provided the first strong evidence for constitutive receptor activity, prompting extension of existing models to include receptor isomerization. Promotes further study on the molecular nature of receptor activation.
Leff, P. (1995)The two-state model of receptor activation — Trends in Pharmacological Sciences, 16, 89–97
Summarizes the two-state model and expands its interpretation in the context of constitutive activity.
Kenakin, T. (1995)Agonist-receptor efficacy II: Agonist trafficking of receptor signals — Trends in Pharmacological Sciences, 16, 232–238
Discusses instances of what eventually becomes known as functional selectivity or biased agonism, and evaluates how these findings may or may not fit within existing frameworks of receptor theory.
Hall, D.A. (2000)Modeling the functional effects of allosteric modulators at pharmacological receptors: An extension of the two-state model of receptor activation — Molecular Pharmacology, 58, 1412–1423
Extends the two-state model to incorporate allosteric modulators, deriving equations for how modulators shift both agonist affinity and the basal active-state equilibrium.
Ehlert, F.J. (2005)Analysis of allosterism in functional assays — Journal of Pharmacology and Experimental Therapeutics, 315, 740–754
Quantitative analysis of allosteric interactions in functional systems.
Colquhoun, D. (2009)Binding, gating, affinity and efficacy: The interpretation of structure-activity relationships for agonists and of the effects of mutating receptors — British Journal of Pharmacology, 125, 924–947
Review that revisits models of binding and efficacy and their application to modern pharmacological methods, particularly experiments involving mutated receptors.
Kenakin, T. & Christopoulos, A. (2013)Signalling bias in new drug discovery: Detection, quantification and therapeutic impact — Nature Reviews Drug Discovery, 12, 205–216
Thorough review on biased agonism, how it can be measured, and how it might be applied to drug discovery, in the context of receptor theory models.
n (transducer slope)
R (receptor reserve)
Name
log KA (M)
εA (intrinsic efficacy, %)
t – time after agonist addition (min)
Name
log KB (M)
log koff (min−1)
[B] concentration series
Lowest log[B] (M)
Log increment
Number of [B] curves
4
Stimulus response
Receptor occupancy (Drug A)
Summary
CurveEC50EmaxDR
Schild plot
Notes
Paton & Rang (1965); Kenakin, Jenkinson, & Watson (2006)
Individual drugs
Drug interactions
Binding kinetics
Hypothetical data generator
Resources
Colorblind mode
Hypothetical data generator
Resources
Bugs, feedback, or suggestions?
About