ACM Transactions on Mathematical Software (TOMS)
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
Computer Methods and Programs in Biomedicine
Computer Methods and Programs in Biomedicine
Design of experiments for bivariate binary responses modelled by Copula functions
Computational Statistics & Data Analysis
PopED: An extended, parallelized, nonlinear mixed effects models optimal design tool
Computer Methods and Programs in Biomedicine
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The design of pharmacokinetic and pharmacodynamic experiments concerns a number of issues, among which are the number of observations and the times when they are taken. Often a model is used to describe these data and the pharmacokinetic-pharmacodynamic behavior of a drug. Knowledge of the data analysis model at the design stage is beneficial for collecting patient data for parameter estimation. A number of criteria for model-oriented experiments, which maximize the information content of the data, are available. In this paper we present a program, Popdes, to investigate the D-optimal design of individual and population multivariate response models, such as pharmacokinetic-pharmacodynamic, physiologically based pharmacokinetic, and parent drug and metabolites models. A pre-clinical and clinical pharmacokinetic-pharmacodynamic model describing the concentration-time profile and effect of an oncology compound in development is used for illustration.