Mathematical Models as Tools to Predict the Release Kinetic of Fluorescein from Lyotropic Colloidal Liquid Crystals

Abstract

In this study, we investigated the release kinetic of fluorescein from colloidal liquid crystals made from monoglyceride and different non-ionic surfactants. The crystals were physicochemically characterized and the release experiments were carried out under the sink conditions, while mathematical models were described as extrapolations from solutions of the diffusion equation, in different initial and boundary conditions imposed by pharmaceutical formulations. The diffusion equation was solved using Laplace and Fourier transformed functions for release kinetics from infinite reservoirs in a semi-infinite medium. Solutions represents a general square root law and can be applied for the release kinetic of fluorescein from lyotropic colloidal liquid crystals. Akaike, Schwartz, and Imbimbo criteria were used to establish the appropriate mathematical model and the hierarchy of the performances of different models applied to the release experiments. The Fisher statistic test was applied to obtain the significance of differences among mathematical models. Differences of mathematical criteria demonstrated that small or no significant statistic differences were carried out between the various applied models and colloidal formulations. Phenomenological models were preferred over the empirical and semi-empirical ones. The general square root model shows that the diffusion-controlled release of fluorescein is the mathematical models extrapolated for lyotropic colloidal liquid crystals.

Design and Characterization of Glyceryl Monooleate-Nanostructures Containing Doxorubicin Hydrochloride

“…In detail, 90 mg of Monomuls 90.018 (GMO) was completely dissolved in ethanol (4 mL), while the surfactant solution (poloxamers/polysorbates) (0.4% w / v ) was prepared in milliQ water (10 mL). The aqueous solution was added drop-by-drop to the organic phase, under continuous stirring, using an Ultraturrax T25 basic homogenizer (IKA ® -Werke GmbH & Co. KG, Staufen, Germany), at a mixing speed of 18,500 rpm (3 different cycles of 5 min) at room temperature as previously reported [ 6 ]. The nanostructures containing DOX were obtained by adding different amounts of the drug to the aqueous phase.…”

“…In the presence of a proper stabilizer [ 6 ], liquid crystal phases can be arranged in different supramolecular structures such as cubosomes [ 7 , 8 ] or hexosomes [ 9 , 10 , 11 ], which could potentially be used for intravenous injection. This is because of their scarce viscosity as well as their ability to maintain the internal nanostructure of the bulk systems and keep it intact.…”

Aligned Fingolimod-Releasing Electrospun Fibers Increase Dorsal Root Ganglia Neurite Extension and Decrease Schwann Cell Expression of Promyelinating Factors

“…To better understand the dissolution of fingolimod from the PLGA fibers, we assessed how well several widely used mathematical models fit the cumulative fingolimod release data, including the zero-order model, first-order model, Higuchi model, Korsmeyer–Peppas model, and Hixson–Crowell’s cube root model ( Higuchi, 1963 ; Ritger and Peppas, 1987 ; Costa and Sousa Lobo, 2001 ; Siepmann and Peppas, 2001 ; Dash et al, 2010 ; de Mello and Ricci-Júnior, 2011 ; da Costa et al, 2015 ; Moydeen et al, 2018 ; Paolino et al, 2019 ; Pourtalebi Jahromi et al, 2020 ; Wu et al, 2020 ). The mathematical equation and axes of the plot for each model are listed in Table 3 .…”

Mathematical Modeling of Release Kinetics from Supramolecular Drug Delivery Systems

“…A much more in-depth analysis was proposed in 2019 [208]. Authors systematically studied the release kinetics of fluorescein from colloidal liquid crystals obtained from monoglyceride and different non-ionic surfactants.…”