title: Mathematical models of skin permeability: an overview.
abstract: Mathematical models of skin permeability play an important role in various fields including prediction of transdermal drug delivery and assessment of dermal exposure to industrial chemicals. Extensive research has been performed over the last several decades to yield predictions of skin permeability to various molecules. These efforts include the development of empirical approaches such as quantitative structure-permeability relationships and porous pathway theories as well as the establishment of rigorous structure-based models. In addition to establishing the necessary mathematical framework to describe these models, efforts have also been dedicated to determining the key parameters that are required to use these models. This article provides an overview of various modeling approaches with respect to their advantages, limitations and future prospects.
authors.affiliation: Department of Chemical Engineering, University of California, Santa Barbara, CA 93106, United States. samir@engineering.ucsb.edu
authors.forename: Samir
authors.initials: S
authors.lastname: Mitragotri
authors.forename: Yuri G
authors.initials: YG
authors.lastname: Anissimov
authors.forename: Annette L
authors.initials: AL
authors.lastname: Bunge
authors.forename: H Frederick
authors.initials: HF
authors.lastname: Frasch
authors.forename: Richard H
authors.initials: RH
authors.lastname: Guy
authors.forename: Jonathan
authors.initials: J
authors.lastname: Hadgraft
authors.forename: Gerald B
authors.initials: GB
authors.lastname: Kasting
authors.forename: Majella E
authors.initials: ME
authors.lastname: Lane
authors.forename: Michael S
authors.initials: MS
authors.lastname: Roberts
mesh_terms: D004058:Diffusion; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D008962:Models, Theoretical; D010539:Permeability; D021281:Quantitative Structure-Activity Relationship; D012867:Skin / Q000378:metabolism*