Iontophoretic transdermal drug delivery: a multi-layered approach

We present a multi-layer mathematical model to describe the transdermal drug release from an iontophoretic system. The Nernst-Planck equation describes the basic convection-diffusion process, with the electric potential obtained by solving the Laplace's equation. These equations are complemente...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical medicine and biology 2017-12, Vol.34 (4), p.559-576
Main Authors: Pontrelli, Giuseppe, Lauricella, Marco, Ferreira, José A, Pena, Gonçalo
Format: Article
Language:English
Subjects:
Administration, Cutaneous
Humans
Iontophoresis
Models, Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a multi-layer mathematical model to describe the transdermal drug release from an iontophoretic system. The Nernst-Planck equation describes the basic convection-diffusion process, with the electric potential obtained by solving the Laplace's 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.
ISSN:1477-8599
1477-8602
DOI:10.1093/imammb/dqw017