Numerical simulation and stability study of skin drug delivery via polymeric microneedles

Document Type : Research Paper

Authors

Department of Mathematics and Computer Science, Faculty of Basic Sciences, Salman Farsi University of Kazerun, Kazerun, Iran.

Abstract

Drug delivery through reservoir-based microneedle has become highly important owing to its non-invasiveness and the ability to deliver a wide range of drugs. In this paper, we consider a system of partial differential equations to describe the transport of bounded drug, free drug and water in the reservoir, microneedle, skin and blood vessel. The system of equations is completed with interface boundary conditions, initial and boundary conditions. Additionally, the initial and boundary value problem is studied from an analytical point of view for stability, and from a numerical point of view for qualitative behaviour. Finally, it is shown that the results agree well with the experimental data.

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Articles in Press, Accepted Manuscript
Available Online from 04 July 2026
  • Receive Date: 16 October 2023
  • Revise Date: 06 June 2026
  • Accept Date: 04 July 2026