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Updated: May 26, 2026

Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
Application of the Refined Integral Method in the mathematical modeling of drug delivery from one-layer torus-shaped
Ignacio M Helbling1, Juan C D Ibarra, Julio A Luna
1Laboratorio de Química Fina, Instituto de Desarrollo Tecnológico para Industria Química, Universidad Nacional del Litoral and Consejo Nacional de Investigaciones Científicas y Técnicas, CCT CONICET-SANTA FE, Ruta Nacional 168, Paraje El Pozo, 3000 Santa Fe, Argentina. ihelbling@santafe-conicet.gov.ar
Abstract:
A mathematical modeling of controlled release of drug from one-layer torus-shaped devices is presented. Analytical solutions based on Refined Integral Method (RIM) are derived. The validity and utility of the model are ascertained by comparison of the simulation results with matrix-type vaginal rings experimental release data reported in the literature. For the comparisons, the pair-wise procedure is used to measure quantitatively the fit of the theoretical predictions to the experimental data. A good agreement between the model prediction and the experimental data is observed. A comparison with a previously reported model is also presented. More accurate results are achieved for small A/C(s) ratios.
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