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A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross-Krook (BGK) collision term to solve the convection-diffusion equation (CDE). A simulation was carried out in different ranges of the value of bound γ, which is related to skin capillary clearance and the volume of diffusion during a percutaneous absorption process. When a typical drug is used on the skin, the value of γ corresponds to the amount of drug absorbed by the blood and the absorption of the drug added to the skin. The effect of γ was studied for when the region of skin contact is a line segment on the skin surface.
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Safdari et al. (2019) studied this question.
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