Mathematical Modeling of Recursive Drug Delivery with Diffusion, Equilibrium, and Convection Coupling

Rosaura Hernandez-Montelongo, Javiera Salazar-Araya, Jacobo Hernandez-Montelongo and Juan Paulo Garcia-Sandoval
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Rosaura Hernandez-Montelongo: Department of Translational Bioengineering, University of Guadalajara, Guadalajara 44430, Mexico
Javiera Salazar-Araya: Department of Physical and Mathematical Sciences, Catholic University of Temuco, Temuco 4813302, Chile
Jacobo Hernandez-Montelongo: Department of Physical and Mathematical Sciences, Catholic University of Temuco, Temuco 4813302, Chile
Juan Paulo Garcia-Sandoval: Department of Chemical Engineering, University of Guadalajara, Guadalajara 44430, Mexico

Mathematics, 2022, vol. 10, issue 13, 1-13

Abstract: In this work, a mathematical model to describe drug delivery from polymer coatings on implants is proposed. Release predictability is useful for development and understanding of drug release mechanisms from controlled delivery systems. The proposed model considers a unidirectional recursive diffusion process which follows Fick’s second law while considering the convective phenomena from the polymer matrix to the liquid where the drug is delivered and the polymer–liquid drug distribution equilibrium. The resulting model is solved using Laplace transformation for two scenarios: (1) a constant initial condition for a single drug delivery experiment; and (2) a recursive delivery process where the liquid medium is replaced with fresh liquid after a fixed period of time, causing a stepped delivery rate. Finally, the proposed model is validated with experimental data.

Keywords: drug delivery; mathematical model; diffusion; convection; interface equilibrium; Fourier series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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