Geodesic
Theoretical Hyperbolic Model of a Partial Agonism: Explicit Formulas for Affinity, Efficacy and Amplification
Serdica Journal of Computing, Tome 5 (2011) no. 4, pp. 333-358.

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The quantitative analysis of receptor-mediated effect is based on experimental concentration-response data in which the independent variable, the concentration of a receptor ligand, is linked with a dependent variable, the biological response. The steps between the drug–receptor interaction and the subsequent biological effect are to some extent unknown. The shape of the fitting curve of the experimental data may give some in-sights into the nature of the concentration–receptor–response (C-R-R) mechanism. It can be evaluated by non-linear regression analysis of the experimental data points of the independent and dependent variables, which could be considered as a history of the interaction between the drug and receptors. However, this information is not enough to evaluate such important parameters of the mechanism as the dissociation constant (affinity) and efficacy. There are two ways to provide more detailed information about the C-R-R mechanism: (i) an experimental way for obtaining data with new or
Keywords: Model, Agonist, Affinity, Efficacy, Amplification, Receptor 
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Milanov, Peter; Pencheva, Nevena. Theoretical Hyperbolic Model of a Partial Agonism: Explicit Formulas for Affinity, Efficacy and Amplification. Serdica Journal of Computing, Tome 5 (2011) no. 4, pp. 333-358. http://geodesic.mathdoc.fr/item/SJC_2011_5_4_a2/