A probabilistic approach to the single-point, single-dose problem

A general probabilistic approach is applied to the single-point, single-dose method for estimating individual infusion rates and serum drug concentrations. By using transformations of probability density functions, the effects of variations in the elimination rate constant upon pharmacokinetic variables may be studied and optimal sampling times may be chosen. Although this study treats the case of error-free sampling in a single-compartment model with a normal distribution of rate constants, the methods presented can be extended to more general situations.