Controlled drug release from a spheroidal matrix

Laurent Simon, Juan Ospina

Research output: Contribution to journalArticle

Abstract

Drug transport through a spheroidal matrix was studied using Fick's second law of diffusion in spherical coordinates. The prolate spheroid-shaped geometry was described by a small angular deformation applied at the surface of the body. An infinite series of Legendre polynomials of order two was first used to develop an expression for the solute concentration in the Laplace domain. This method resulted in closed-form expressions for the effective time constant and the cumulative percentage of drug released in terms of critical model parameters. The procedure predicted published solutions very well. More moisture was observed at the center of the body when compared to the focal point. As the aspect ratio increased, the effective time constant decreased. At 0.38 unit time, 98.6% of the loaded drug was released from the device.

Original languageEnglish (US)
Pages (from-to)30-37
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume518
DOIs
StatePublished - Mar 15 2019

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Drugs
drugs
Time Constant
time constant
matrices
prolate spheroids
Spherical coordinates
Unit of time
Legendre functions
spherical coordinates
Legendre polynomial
Moisture
Infinite series
Laplace
Aspect Ratio
moisture
Percentage
aspect ratio
solutes
Closed-form

Cite this

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abstract = "Drug transport through a spheroidal matrix was studied using Fick's second law of diffusion in spherical coordinates. The prolate spheroid-shaped geometry was described by a small angular deformation applied at the surface of the body. An infinite series of Legendre polynomials of order two was first used to develop an expression for the solute concentration in the Laplace domain. This method resulted in closed-form expressions for the effective time constant and the cumulative percentage of drug released in terms of critical model parameters. The procedure predicted published solutions very well. More moisture was observed at the center of the body when compared to the focal point. As the aspect ratio increased, the effective time constant decreased. At 0.38 unit time, 98.6{\%} of the loaded drug was released from the device.",
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Controlled drug release from a spheroidal matrix. / Simon, Laurent; Ospina, Juan.

In: Physica A: Statistical Mechanics and its Applications, Vol. 518, 15.03.2019, p. 30-37.

Research output: Contribution to journalArticle

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AU - Ospina, Juan

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