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Application of numerical methods for diffusion-based modeling of skin permeation.
Adv Drug Deliv Rev 2013 Feb; 65(2):208-220
The application of numerical methods for mechanistic, diffusion-based modeling of skin permeation is reviewed. Methods considered here are finite difference, method of lines, finite element, finite volume, random walk, cellular automata, and smoothed particle hydrodynamics. First the methods are briefly explained with rudimentary mathematical underpinnings. Current state of the art numerical models are described, and then a chronological overview of published models is provided. Key findings and insights of reviewed models are highlighted. Model results support a primarily transcellular pathway with anisotropic lipid.
Skin; Skin-absorption; Mathematical-models; Models; Hydrodynamics; Diffusion-analysis; Author Keywords: Transdermal drug delivery; Stratum corneum; Unit cell problem; Finite difference method; Method of lines; Finite element method; Finite volume method; Random walk; Cellular automata; Smoothed particle hydrodynamics
H. Frederick Frasch, Health Effects Laboratory Division, National Institute for Occupational Safety and Health, 1095 Willowdale Road, Morgantown, WV 26505
Issue of Publication
Advanced Drug Delivery Reviews