Application of numerical methods for diffusion-based modeling of skin permeation

作者：Frasch H Frederick^*; Barbero Ana M

来源：Advanced Drug Delivery Reviews, 2013, 65(2): 208-220.

DOI：10.1016/j.addr.2012.01.001

• 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

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 transport. Future endeavors would benefit from a fundamental analysis of drug/vehicle/skin interactions. Published by Elsevier B.V.

• 出版日期2013-2