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.
Azhdari, E. and Emami, A. (2026). Numerical simulation and stability study of skin drug delivery via polymeric microneedles. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2026.58857.2494
MLA
Azhdari, E. , and Emami, A. . "Numerical simulation and stability study of skin drug delivery via polymeric microneedles", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2026.58857.2494
HARVARD
Azhdari, E., Emami, A. (2026). 'Numerical simulation and stability study of skin drug delivery via polymeric microneedles', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2026.58857.2494
CHICAGO
E. Azhdari and A. Emami, "Numerical simulation and stability study of skin drug delivery via polymeric microneedles," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2026.58857.2494
VANCOUVER
Azhdari, E., Emami, A. Numerical simulation and stability study of skin drug delivery via polymeric microneedles. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2026.58857.2494