Mathematical analysis of concentration-response relationships. Method for the evaluation of the ED50 and the number of binding sites per receptor molecule using the logit transformation.
The mathematical analysis of concentration-response relationships is performed by means of the mass law and the drug-receptor theory. It is demonstrated that the calculation of the median effective dose (ED50), which is decisive for the pharmacological characterisation of a certain drug, may only be effected by means of the logit transformation. In addition, it is shown that this transformation is most suitable to evaluate in a mathematically simple way the number of drug binding sites of the receptor molecule.
D001665:Binding Sites; D004305:Dose-Response Relationship, Drug; D008433:Mathematics; D008954:Models, Biological; D011955:Receptors, Drug / Q000378:metabolism*
D011955:Receptors, Drug