2019
DOI: 10.3390/pharmaceutics11030140
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Mathematical Modeling of Release Kinetics from Supramolecular Drug Delivery Systems

Abstract: Embedding of active substances in supramolecular systems has as the main goal to ensure the controlled release of the active ingredients. Whatever the final architecture or entrapment mechanism, modeling of release is challenging due to the moving boundary conditions and complex initial conditions. Despite huge diversity of formulations, diffusion phenomena are involved in practically all release processes. The approach in this paper starts, therefore, from mathematical methods for solving the diffusion equati… Show more

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Cited by 345 publications
(219 citation statements)
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“…The release kinetics of curcumin from the electrospun membranes were carried out in a pseudo-biologic fluid (PBS/EtOH 70:30 v / v ). The drug release profiles were analyzed and fitted by applying the statistical Weibull model [ 70 , 71 ], expressed by Equation (7) [ 72 ]: m/m 0 = 1 − exp((−1/A) × (t − T) b ) where m is the amount of drug dissolved as a function of time t, m 0 is total released amount of drug, T parameter represents the latency time resulting from the release process, the scale factor A accounts for the time dependence, and b parameter is related to the drug release mechanism [ 73 ]. Moreover, the release phenomenon could be considered the combination of two drug transport phenomena: a diffusion-controlled phase and a relaxation-controlled phase.…”
Section: Resultsmentioning
confidence: 99%
“…The release kinetics of curcumin from the electrospun membranes were carried out in a pseudo-biologic fluid (PBS/EtOH 70:30 v / v ). The drug release profiles were analyzed and fitted by applying the statistical Weibull model [ 70 , 71 ], expressed by Equation (7) [ 72 ]: m/m 0 = 1 − exp((−1/A) × (t − T) b ) where m is the amount of drug dissolved as a function of time t, m 0 is total released amount of drug, T parameter represents the latency time resulting from the release process, the scale factor A accounts for the time dependence, and b parameter is related to the drug release mechanism [ 73 ]. Moreover, the release phenomenon could be considered the combination of two drug transport phenomena: a diffusion-controlled phase and a relaxation-controlled phase.…”
Section: Resultsmentioning
confidence: 99%
“…Thermograms can be quantitated using different methods and approaches. 42 One of the simplest approaches is to compare the duration of the equilibration process following a single injection, as summarized in Figure 6 . Here, the picks are compared based on their width at the half-high.…”
Section: Resultsmentioning
confidence: 99%
“…To explain the drug release profiles of the GABMUL tablet, the Korsmeyer–Peppas model was used. The GA and BMUL release profiles were fitted by the following equation [ 14 ]: M t / M ∞ = kt where the M t /M ∞ is the ratio of drug release at time ( t ) and k is a constant. Based on the equation, the diffusion index ( n ) was calculated.…”
Section: Methodsmentioning
confidence: 99%