Repeated applications of a transdermal patch: Analytical solution and optimal control of the delivery rate

DOI10.1016/j.mbs.2007.03.009zbMath1126.92028OpenAlexW2113566997WikidataQ51008431 ScholiaQ51008431MaRDI QIDQ2466552

Yanyan Li

Publication date: 15 January 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2007.03.009

zbMATH Keywords

integral transform techniquepercutaneous absorption

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Dynamic programming (90C39) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items

Two-dimensional transport analysis of transdermal drug absorption with a non-perfect sink boundary condition at the skin-capillary interface, Fractional derivatives in the diffusion process in heterogeneous systems: the case of transdermal patches, Coupled vehicle-skin models for drug release, Timely drug delivery from controlled-release devices: dynamic analysis and novel design con\-cepts

Cites Work

• Unified solutions of heat diffusion in a finite region involving a surface film of finite heat capacity
• A repeated-dose model of percutaneous drug absorption
• An analytical solution for percutaneous drug absorption: application and removal of the vehicle
• Optimal control of one-dimensional partial differential algebraic equations with applications
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