2021-03-262017-06-030098644515635201WOS;000404269100007SCOPUS;2-s2.0-85034598594http://hdl.handle.net/10784/27347A two-dimensional diffusion model was developed to predict the absorption of chemicals in humans following dermal contact. A firstorder evaporation rate equation was applied to the skin surface while a perfect-sink boundary condition was imposed at the stratum corneum/viable epidermis interface. Initially, there was a certain amount of the substance present within the stratum corneum at the end of the exposure period. Laplace transform techniques were implemented to solve the governing equations and to derive an expression for the time elapsed before reaching 90% of the final amount of chemical absorbed by the body. This index was 0.43, 2.67, 6.91, and 36.9 h for ethanol, diphenylamine, p-nitroaniline, and benzyl butyl-phthalate, respectively. Simulations show that surface evaporation is important for highly volatile compounds. A large fraction of the amount of poorly volatile compounds, available in the skin after exposure, was absorbed into the bloodstream. © Taylor & Francis Group, LLC.https://v2.sherpa.ac.uk/id/publication/issn/0098-6445Closed form solutionsControlled releaseCumulative amountCylindrical matricesDesign parametersEffective timeOrifice diametersPharmaceutical agentsPolymeric matricesRelease profilesSimplified expressionsSimulationSmall HoleTime constantsTop surfaceTransfer and diffusion coefficientsTransform-based methodsTransport phenomenaTwo dimensional modelTwo-dimensional solutionsDiffusionDrug deliveryMathematical modelsTwo dimensionalLaplace transformsarticle2021-03-26Simon, LaurentOspina, Juan10.1080/00986445.2017.1306519