Iontophoretic transdermal drug delivery: a multi-layered approach
This work provides a modeling framework for researchers studying transdermal drug delivery, but it is an incremental contribution as it applies existing mathematical methods to a specific application.
The authors developed a multi-layer mathematical model for iontophoretic transdermal drug delivery, solving the coupled Nernst-Planck and Laplace equations with a finite-difference method. Numerical experiments demonstrated drug dynamics under various conditions, but no concrete performance numbers were reported.
We present a multi-layer mathematical model to describe the the transdermal drug release from an iontophoretic system. The Nernst-Planck equation describe the basic convection-diffusion process, with the electric potential obtained by Laplace equation. These equations are complemented with suitable interface and boundary conditions in a multi-domain. The stability of the mathematical problem is discussed in different scenarios and a finite-difference method is used to solve the coupled system. Numerical experiments are included to illustrate the drug dynamics under different conditions.