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Three-Dimensional Mathematical Analysis Of The Diffusion Of Reactive Hormone From A Transdermal Drug Patch

—The characteristics of percutaneous absorption have widely emerged as important in medical treatment and pharmacological purposes. Drug patches are an effective tool in medical care and criminal justice systems collecting specific doses of substances in a body through sweating and in delivering prescribed medicine into a body through the skin. This simple method has caused a high user-popularity of drug patches across a wide range of applications. In this study, two-and three-dimensional mathematical modellings of drug patch adhesives on human skin are investigated. As the governing equation, the Helmholtz equation has been solved using the separation of variables method along with the least-squares technique to properly obtain closure for non-homogeneous boundary conditions of the problem. The effects of the important parameters involving the number of terms, the Damköhler number, and the length of the computational domain on the concentration of the mass diffusion and its differential versus the depth of skin, are discussed in-depth for different planes on the skin and skin thickness depth. The results reveal that when the aspect ratio is increased, the two-dimensional problem is changed into a one-dimensional problem, particularly when L ≫ a .