The Application of Non-Linear Auto-Regressive Moving Average with Exogenous Input (Narmax) to Modelling the Absorption Across Human Skin

Cronin and Schultz commented that biological processes were seldom linear in nature and that modelling of such processes was unlikely to be successful without the consideration of non-linearity when constructing models. Non-linear models are sometimes prone to overfitting, resulting in modelling the error present in the data. As skin permeability datasets are constructed from numerous literature sources, often using diverse experimental protocols, past considerations of non-linear modelling have been understandably cautious but, ultimately, reasonable, and have included substantial revisions and modifications to linear models in attempts to explain permeability at the extremes of datasets.