Mathematical modelling of percutaneous absorption

This review examines recent progress made in the field of modelling and predicting percutaneous absorption. It describes initial qualitative modelling and how quantitative approaches were pioneered and then developed, particularly in the context of the analysis of specific subsets of data. It then focuses on recent developments, including non-linear modelling and discusses recommendations in model construction, development and validation, suggesting that some models do not fit proposed guidelines.

Quantifying mathematically the process of percutaneous absorption has been achieved by the development of quantitative structure-permeability relationships that produce a specific functional output, in the form of a mathematical relationship relating the properties of a molecule to its skin permeability. More recent research has focused on novel methods, including artificial neural networks and Machine Learning, but also on the nature and quality of the models produced by examining the methods and data used for their construction.Figure optionsDownload high-quality image (170 K)Download as PowerPoint slideHighlights
► Significant progress has been made in modelling mathematically percutaneous absorption since 1990.
► A wide range of methods, including regression and Machine Learning techniques, have been employed.
► Significant development of models is dependent on the nature and quality of the experimental data.
► Some models are beginning to gain regulatory approval in limited circumstances.
► However not all models due to the methods used in their construction may be suitable for such purposes.