The use of the fractal Brouers-Sotolongo formalism to analyze the kinetics of drug release

TL;DR

This paper applies an improved fractal kinetic equation to analyze drug release data, enhancing fit precision and providing insights into the underlying release mechanisms for better modeling.

Contribution

It introduces a variation of the Brouers-Sotolongo fractal kinetic model with a time-dependent fractal coefficient, improving data fitting and understanding of drug release processes.

Findings

Enhanced fit accuracy for drug release data

Successful application to nine literature cases

Potential to inform microscopic drug release models

Abstract

We have applied the Brouers-Sotolongo fractal kinetic equation (BSf(t,n,{\alpha})), improving notably the precision, to nine cases reported recently in the literature on drug release. The reason of using this equation is that it contains as approximations some of the mostly used empirical formula used in that field. Moreover, this equation is now successfully employed for the investigation of sorption of contaminants in aqueous media. An important extension of the BSf(t,n,{\alpha}) has been the introduction of variation of the fractal time coefficient ({\alpha}(t^{\nu} )). This improvement can lead to a greater precision of the fits and deduce some hint on the nature of the drug release process which can give precious information to propose microscopic molecular ad hoc models. We, therefore, suggest the use of the BSf(t,n,{\alpha}(t^{\nu})) formula, as a first step, in any detailed investigation and practical application of drug release data both in vitro and in vivo studies starting with the Weibull and Hill approximations to follow properly the physical solution.