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

Document Type

Article

Publication Date

10-1-2007

Abstract

The integral transform technique was implemented to solve a mathematical model developed for percutaneous drug absorption. The model included repeated application and removal of a patch from the skin. Fick's second law of diffusion was used to study the transport of a medicinal agent through the vehicle and subsequent penetration into the stratum corneum. Eigenmodes and eigenvalues were computed and introduced into an inversion formula to estimate the delivery rate and the amount of drug in the vehicle and the skin. A dynamic programming algorithm calculated the optimal doses necessary to achieve a desired transdermal flux. The analytical method predicted profiles that were in close agreement with published numerical solutions and provided an automated strategy to perform therapeutic drug monitoring and control. © 2007 Elsevier Inc. All rights reserved.

Identifier

34548591509 (Scopus)

Publication Title

Mathematical Biosciences

External Full Text Location

https://doi.org/10.1016/j.mbs.2007.03.009

ISSN

00255564

PubMed ID

17490691

First Page

593

Last Page

607

Issue

2

Volume

209

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