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Open AccessFeature PaperArticle

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

1
Department of Experimental and Clinical Medicine, University of Catanzaro “Magna Graecia”, Viale “S. Venuta” s.n.c., 88100 Catanzaro, Italy
2
Department of Applied Mathematics and Biostatistics, Faculty of Pharmacy, University of Medicine and Pharmacy “Carol Davila” Bucharest, 6 Traian Vuia, 020956 Bucharest, Romania
3
Department of Pharmacy, University of Chieti—Pescara “G. d’Annunzio”, via dei Vestini 31, 66100 Chieti, Italy
*
Authors to whom correspondence should be addressed.
Materials 2019, 12(5), 693; https://doi.org/10.3390/ma12050693
Received: 15 September 2018 / Revised: 18 February 2019 / Accepted: 22 February 2019 / Published: 26 February 2019
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. View Full-Text
Keywords: lyotropic colloidal liquid crystals; release profile; mathematical models; drug delivery systems; release kinetic; square root laws lyotropic colloidal liquid crystals; release profile; mathematical models; drug delivery systems; release kinetic; square root laws
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MDPI and ACS Style

Paolino, D.; Tudose, A.; Celia, C.; Di Marzio, L.; Cilurzo, F.; Mircioiu, C. Mathematical Models as Tools to Predict the Release Kinetic of Fluorescein from Lyotropic Colloidal Liquid Crystals. Materials 2019, 12, 693.

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