Abstract
In recent years, the combination of computational modeling and experiments has become a useful tool that is proving increasingly powerful for explaining biological complexity. As computational power is increasing, scientists are able to explore ever more complex models in finer detail and to explain very complex real world data. This work provides an overview of one-, two- and three-dimensional diffusion models for penetration into mammalian skin. Besides diffusive transport this includes also binding of substances to skin proteins and metabolism. These models are based on partial differential equations that describe the spatial evolution of the transport process through the biological barrier skin. Furthermore, the work focuses on analytical and numerical techniques for this type of equations such as discretization schemes or homogenization (upscaling) techniques. Finally, the work compares different geometry models with respect to the permeability.
Original language | English (US) |
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Pages (from-to) | 191-207 |
Number of pages | 17 |
Journal | Advanced Drug Delivery Reviews |
Volume | 65 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2013 |
Externally published | Yes |
Keywords
- Brick-and-mortar
- Cuboid
- Drug diffusion
- Geometry models
- Homogenization
- Mathematical modeling
- Numerical simulation
- Skin
- Stratum corneum
- Tetrakaidekahedra
ASJC Scopus subject areas
- Pharmaceutical Science