Monte Carlo simulations for the study of drug release from cylindrical matrix systems with an inert nucleus

Martínez, Lizbeth; Villalobos, Rafael; Sánchez, M.H. Montiel; Cruz, Jeny; Ganem-Rondero, Adriana; Melgoza, Luz María

doi:10.1016/j.ijpharm.2008.10.023

Cited by 40 publications

(20 citation statements)

References 20 publications

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“…We see that Eq. (3) accurately describes the entire release profile, in accordance with previous studies [9,10,12,13,[15][16][17].…”

Section: Dependence On the Size Of The Formulation And The Initial Drsupporting

confidence: 88%

“…In these cases, Monte Carlo simulations provide a powerful tool for modeling drug release [5], while also having the advantage to easily introduce excluded volume interactions between diffusive drug molecules. In particular, Monte Carlo algorithms have been extensively used to calculate release profiles from porous matrices, bioerodible microparticles, Euclidean or fractal geometries, and random or periodic inhomogeneous structures [6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…(2), having no more parameters than Eq. (1), can adequately fit the complete release kinetics and has been tested against a large set of experimental release data [24], as well as in a number of numerical simulations of release curves [9,10,12,13,[15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Quantifying diffusion-controlled drug release from spherical devices using Monte Carlo simulations

Hadjitheodorou

Kalosakas

2013

Materials Science and Engineering: C

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“…We see that Eq. (3) accurately describes the entire release profile, in accordance with previous studies [9,10,12,13,[15][16][17].…”

Section: Dependence On the Size Of The Formulation And The Initial Drsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantifying diffusion-controlled drug release from spherical devices using Monte Carlo simulations

Hadjitheodorou

Kalosakas

2013

Materials Science and Engineering: C

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“…It was found that the values of "n" were: 0.218, 0.280, 0.364 and 0.359 for the tablet formulations F1-TC, F2-TC, F3-TC and F4-TC respectively, indicating a deviation from the Fickian transport. This behavior commonly occurs in the matrix type pharmaceutical dosage forms where more than one transport mechanism is involved, such as erosion and swelling (Martínez et al, 2008). It was found that, the mean dissolution time (MDT) was 3.535, 5.940, 8.056 and 10.361 h for the formulations F1-TC, F2-TC, F3-TC and F4-TC respectively.…”

Section: Resultsmentioning

confidence: 99%

Two different approaches for the prediction of In Vivo plasma concentration-time profile from In Vitro release data of once daily formulations of diltiazem hydrochloride

Bendas

2009

Arch. Pharm. Res.

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The aim of this study was to employ two different mathematical approaches: first, a convolution approach using computer software; second, a mathematical calculation exploiting Wagner-Nelson calculation to predict in vivo plasma concentration-time profile from the in vitro release study for the once daily formulations of a model drug diltiazem hydrochloride. The once daily extended release tablets (120 mg) were prepared by the wet granulation technique. Ethanol or ethanolic solutions of ethylcellulose (N22), were used as granulating agents along with hydrophilic matrix polymers like hydroxypropyl methylcellulose (HPMC) (K 15M). The granules showed satisfactory flow properties, compressibility, moisture content and drug content. All the tablet formulations showed acceptable properties and complied with pharmacopeial limits. The in vitro drug release study revealed that formula F7-T which contains drug: HPMC ratio 1:1 and 20 mg of ethylcellulose was able to sustain the drug release for 24 h and satisfied the USP dissolution limits. Fitting the in vitro drug release data to Korsmeyer-Peppas equation indicated that the mechanism of drug release could be zero-order. The capsule formulation F14-C which consists of drug: HPMC ratio 1:2, 12 mg of ethylcellulose and 20 mg of polyox 100 showed in vitro drug release similar to the tablet F7-T using the similarity factor (f 2). The mechanism of drug release could be coupled diffusion, and polymer matrix relaxation. The percent dissolved data from the two formulations were used as input function to predict the in vivo plasma data by the two approaches (Convolution by Kinetica software and Wagner-Nelson calculation). The two methods were validated by prediction of plasma data from in vitro release data of FDA approved 300 mg extended release capsule. Prediction errors were estimated for Cmax and area under the curve (AUC) to determine the validity of the methods. The percent prediction error for each parameter is not exceeding 15%.

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“…Our research group previously demonstrated that a square root equation similar to Higuchi's could be obtained by transforming initial and boundary conditions in solving the Fick's second law of diffusion [28]. Recent data showed that this model could be extensively used to investigate the release kinetics of dextran microspheres [34], poloxamer gels [35] and cylinder matrix systems [36].…”

Section: Resultsmentioning

confidence: 99%

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

Paolino¹,

Tudose²,

Celia³

et al. 2018

Preprint

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The manuscript studies the release kinetic of fluorescein from colloidal liquid crystals made up from monoglyceride and different non-ionic surfactants. The release experiments were carried out under sink conditions, and mathematical models were described as extrapolations from solutions of diffusion equation in different initial and boundary conditions imposed by pharmaceutical formulations. The diffusion equation was solved, using Laplace and Fourier transformed functions for the release kinetic 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 monoglyceride colloidal liquid crystals. Akaike, Schwartz and Imbimbo criteria were used to establish the appropriate mathematical model and the hierarchy of performances of different models applied to the release experiments. The Fisher statistic test was applied to perform significance of differences among mathematical models. Differences evaluated by mathematical criteria demonstrated that small or no significant statistic differences were carried out between various applied models and colloidal formulations. Phenomenological models were preferred over to empirical and semi-empirical ones. The general square root model shows that the diffusion-controlled release of fluorescein is the mathematical models extrapolated for monoglyceride colloidal liquids, in the first part of the process.

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Monte Carlo simulations for the study of drug release from cylindrical matrix systems with an inert nucleus

Cited by 40 publications

References 20 publications

Quantifying diffusion-controlled drug release from spherical devices using Monte Carlo simulations

Quantifying diffusion-controlled drug release from spherical devices using Monte Carlo simulations

Two different approaches for the prediction of In Vivo plasma concentration-time profile from In Vitro release data of once daily formulations of diltiazem hydrochloride

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

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