Mathematical modeling of drug delivery from cylindrical implantable devices

Abstract

A mechanistic mathematical model applicable to the controlled dispersed‐drug release from cylindrical device such as implantable drug delivery system was derived. Analytical solutions based on the pseudosteady state approximation are derived taken account an exact external medium volume. The model prediction is accurate when the initial drug load is higher than the drug solubility in the polymer. The results obtained are compared with the analytical solutions available in the literature. The equations are corroborated by comparison with experimental profiles reported in the literature for sink conditions and non sink conditions. The evolution of concentration distribution profiles is compared for different volume of external medium. A reduction in the volume of the external solution leads to an increase in the concentration on the surface of the device, which determines decreases in the release of drug. One criterion for determining whether the volume of external solution should be considered for the prediction of drug release from cylindrical devices is established. This criterion is based on establishing a maximum percentage error allowed in the values of amount of drug released. The usefulness of the model is focused in the design of implant for controlled release of drug into a small volume of external medium of release. Copyright © 2014 John Wiley & Sons, Ltd.

Experimental and mathematical approaches for drug delivery for the treatment of wet age-related macular degeneration

“…Often diffusion-controlled release models assume perfect sink conditions (infinite external medium). However, Ibarra et al [ 111 ] developed a mathematical model for predicting drug release from single-layer cylindrical implantable devices that incorporated an exact volume of the external medium as a parameter. The model assumptions included unswellable and nonerodible polymer, homogeneous initial drug distribution, initial drug load greater than drug solubility in the device, constant diffusion coefficient, and pseudosteady state approximation.…”