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A unified mathematical model for diffusion from drug–polymer composite tablets

A unified mathematical model for diffusion from drug–polymer composite tablets The derivation and experimental verification of a unified mathematical model for the estimation of drug release rate from drug–polymer composite tablets are presented. Cylindrical coordinates are utilized in the solution of the diffusion equation for a three‐dimensional system. The model is applicable to tablets that range from the shape of a flat disk (radius > thickness) to that of a cylindrical rod (radius < thickness). The general solution for the fraction of drug released at a time t is \documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{M\left(t \right)}}{{M\left(\infty \right)}} = 1 - \frac{8}{{l^2 a^2 }}\sum\limits_{m = 1}^{10} {\exp \left({ - D\alpha _m ^2 t} \right)\left({\alpha _m ^{ - 2} } \right)\sum\limits_{n = 1}^{10} {\exp \left({ - D\beta ^2 _n t} \right)} \left({\beta _n ^{ - 2} } \right)} $$\end{document} This approach to a three‐dimensiona system, utilizing cylindrical coordinates, presents a comprehensive method for the estimation of drug release rates from sustained release tablets with drug distributed homogeneously throughout a polymer matrix. The calculated and experimental drug diffusion rate of pyrimethamine from pyrimethamine‐silicone rubber composite tablets that range in shape from that of a disk to a cylinder, and of hydrocortisone from EVA, poly‐caprolactone, and PVA terpolymer, are compared. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Biomedical Materials Research Part A Wiley

A unified mathematical model for diffusion from drug–polymer composite tablets

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References (6)

Publisher
Wiley
Copyright
Copyright © 1976 Wiley Subscription Services, Inc., A Wiley Company
ISSN
1549-3296
eISSN
1552-4965
DOI
10.1002/jbm.820100507
pmid
977604
Publisher site
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Abstract

The derivation and experimental verification of a unified mathematical model for the estimation of drug release rate from drug–polymer composite tablets are presented. Cylindrical coordinates are utilized in the solution of the diffusion equation for a three‐dimensional system. The model is applicable to tablets that range from the shape of a flat disk (radius > thickness) to that of a cylindrical rod (radius < thickness). The general solution for the fraction of drug released at a time t is \documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{M\left(t \right)}}{{M\left(\infty \right)}} = 1 - \frac{8}{{l^2 a^2 }}\sum\limits_{m = 1}^{10} {\exp \left({ - D\alpha _m ^2 t} \right)\left({\alpha _m ^{ - 2} } \right)\sum\limits_{n = 1}^{10} {\exp \left({ - D\beta ^2 _n t} \right)} \left({\beta _n ^{ - 2} } \right)} $$\end{document} This approach to a three‐dimensiona system, utilizing cylindrical coordinates, presents a comprehensive method for the estimation of drug release rates from sustained release tablets with drug distributed homogeneously throughout a polymer matrix. The calculated and experimental drug diffusion rate of pyrimethamine from pyrimethamine‐silicone rubber composite tablets that range in shape from that of a disk to a cylinder, and of hydrocortisone from EVA, poly‐caprolactone, and PVA terpolymer, are compared.

Journal

Journal of Biomedical Materials Research Part A – Wiley

Published: Sep 1, 1976

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