Two-dimensional transport analysis of transdermal drug absorption with a non-perfect sink boundary condition at the skin-capillary interface



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A transient percutaneous drug absorption model was solved in two dimensions. Clearance of the topically-applied pharmaceutical occured at the skin-capillary boundary. Timolol penetration profiles in the dermal tissue were produced revealing concentration gradients in the directions normal and parallel to the skin surface. Ninety-eight percent of the steady-state flux was reached after 85. h or four time constants. The analytical solution procedure agreed with published results. As the clearance rate increased relative to diffusion, the delivery rate and amount of drug absorbed into the bloodstream increased while the time to reach the equilibrium flux decreased. Researchers can apply the closed-form expressions to simulate the process, estimate key parameters and design devices that meet specific performance requirements. © 2013 Elsevier Inc.


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Closed-form expression, Concentration gradients, Penetration profiles, Percutaneous absorption, Percutaneous drug absorption, Performance requirements, Solution procedure, Time constants, Laplace transforms, Partial differential equations, Tissue, Two dimensional, timolol, absorption, blood, boundary condition, diffusion, drug, equation, Laplace transform, skin, article, blood flow, capillary, concentration (parameters), controlled study, drug absorption, drug clearance, drug delivery system, drug diffusion, drug transport, equipment design, mathematical model, performance, skin, steady state, transdermal drug administration, Administration, Cutaneous, Capillaries, Models, Biological, Skin, Skin Absorption, Timolol