This paper proposes a simple procedure for selecting sampling time points and sample allocation which reduce the mean square error or area under the curve (AUC) approximated by the trapezoidal approximation. It can generate desirable time points and allocation through an iterative scheme. The methodology is applicable to AUC estimation as well as other functional forms of serial plasma concentrations. The appropriate application of this procedure can lead to more efficient pharmacokinetic study designs.
KatzDD'ArgenioDZ. Experimental design for estimating integral by numerical quadrature with applications to pharmacokinetic studies. Biometrics. Sept 1983;39.
2.
PiegorschWWBailerAJ. Optimal design allocation for estimating area under curves for studies employing destructive sampling. J Pharm Biopharm.1989;17(4).
3.
AtkinsonACChalonerKHerzbergAMJuritzJ. Optimal experimental designs for properties of a compartmental model. Biometrics. June 1993;49.