1. Introduction 2. Importance and applications of cell and tissue-based in vitro models for drug permeability screening in early stages of drug development 3. Cell-based in vitro culture models for drug permeability studies: Immortalized and primary isolated cells 4. Tissue-based in vitro and ex vivo models for drug permeability studies 5. Miniaturized models for drug permeability studies 6. Complex models for drug permeability studies 7. Correlation between cell and tissue-based models for drug permeability screening with in vivo situation: Modeling and functional extrapolation 8. Artificial intelligence and machine learning-assisted data analysis from permeability studies 9. Conclusions