Quantitative in vitro to in vivo extrapolation of tissues toxicity

•We develop several mechanistic dose–response models.•We insist on the development of systems biology models for predictive toxicology.•We couple a systems biology model with a PBPK model.•Understanding in vitro pharmacokinetics is therefore a key step in QIVIVE.•We develop tools to predict the variability of drug effects across human individuals. Predicting repeated-dosing in vivo drug toxicity from in vitro testing and omics data gathering requires significant support in bioinformatics, mathematical modeling and statistics. We present here the major aspects of the work devoted within the framework of the European integrated Predict-IV to pharmacokinetic modeling of in vitro experiments, physiologically based pharmacokinetic (PBPK) modeling, mechanistic models of toxicity for the kidney and brain, large scale dose–response analyses methods and biomarker discovery tools. All of those methods have been applied to various extent to the drug datasets developed by the project’s partners. Our approach is rather generic and could be adapted to other drugs or drug candidates. It marks a successful integration of the work of the different teams toward a common goal of predictive quantitative in vitro to in vivo extrapolation.