Mathematical modeling of simultaneous drug release and in vivo absorption.

The attention of this review is focussed on the mathematical modeling of the simultaneous processes of drug release and absorption/distribution/metabolism/elimination (ADME processes) following different administration routes. Among all of them, for their clinical importance, the oral, transdermal and local delivery are considered. The bases of the presented mathematical models are shown after the discussion of the most relevant phenomena characterising the particular administration route considered. Then, model performances are compared to experimental evidences in order to evaluate their reliability and soundness. The most important conclusion of this review is that despite the complexity of the problem involved in the description of the fate of the drugs after their administration, the scientific community is close to the solution as witnessed by the various interesting and promising approaches here presented about the oral, transdermal and local administration routes.