Abstract: The present invention relates to a method for estimating or predicting anti-tumor activity of a compound and for estimating or predicting the tumor growth in mammals; the estimation comprises a) measuring the tumor weight in time; b) measuring the concentration of the compound in time; c) calculating kinetic parameters of the tumor growth: -a parameter (L0), representative of the portion of tumor cells present at the instant t0=0 that succeeds in taking root and in starting tumor cells proliferation in the mammals; -an index (?0) of the production rate of tumor cells during an exponential phase of tumor growth; -an index (?1) of tumor cells mass produced in the time unit during a linear phase of the tumor growth; and pharmacodynamic parameters: -an index (K1) of tumor cells death rate; -an index (K2) of the potency of the compound; and d) calculating tumor growth curves.

Abstract: A method of estimating the average exposure within a population of subjects to a pharmacological substance, administered according to a given protocol, by estimating the area under the concentration curve (AUC), characterised in that the area under the population concentration curve is estimated by the steps of obtaining measurements of the drug concentrations in each of the subjects at any time during the study, independently from the time when measurements of the drug concentration level in the other subjects are being taken; building a hierarchical stochastic model composed of the population and of the individual levels; determining the posterior probability distribution of the average AUC from the sample data and hence the average population AUC. The exposure of an individual and its precision within the sample of individuals can be determined by determining the posterior probability distribution of the individual AUC from the sample data.