A statistical mechanical model for drug release: Relations between release parameters and porosity

Márcio Sampaio Gomes-Filho, Marco Aurélio Alves Barbosa and Fernando Albuquerque Oliveira

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: A lattice gas model is proposed for investigating the release of drug molecules on devices with semi-permeable, porous membranes in two and three dimensions. The kinetic of this model was obtained through the analytical solution of the three-dimension diffusion equation for systems without membrane and with Monte Carlo simulations. Pharmaceutical data from drug release is usually adjusted to the Weibull function, exp[−(t∕τ)b], and the dependence of adjusted parameters b and τ is usually associated, in the pharmaceutical literature, with physical mechanisms dominating the drug dynamics inside the capsule. The relation of parameters τ and b with porosity λ are found to satisfy, a simple linear relation for between τ and λ−1, which can be explained through simple physically based arguments, and a scaling relation between b and λ, with the scaling coefficient proportional to the system dimension.

Keywords: Drug release; Weibull distribution function; Capsule membrane; Porosity (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317819

DOI: 10.1016/j.physa.2019.123165

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