2014
DOI: 10.1016/j.jconrel.2014.06.041
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Mathematical models in drug delivery: How modeling has shaped the way we design new drug delivery systems

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Cited by 465 publications
(319 citation statements)
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“…Consequently, mathematical modeling of drug release processes from polymeric matrices plays an important role to predict the behavior of the system and to determine the structural parameters of the polymer that affect and control the drug release profiles. The drug release can occur through a pure Fickian diffusion, by processes of relaxation and sometimes a combination of these two mechanisms takes place [42] . When the semi-empirical equation of Ritger-Peppas, [43] , is used for fitting the experimental data, the diffusional exponent (n) indicates the mechanism for drug transport.…”
Section: Resultsmentioning
confidence: 99%
“…Consequently, mathematical modeling of drug release processes from polymeric matrices plays an important role to predict the behavior of the system and to determine the structural parameters of the polymer that affect and control the drug release profiles. The drug release can occur through a pure Fickian diffusion, by processes of relaxation and sometimes a combination of these two mechanisms takes place [42] . When the semi-empirical equation of Ritger-Peppas, [43] , is used for fitting the experimental data, the diffusional exponent (n) indicates the mechanism for drug transport.…”
Section: Resultsmentioning
confidence: 99%
“…S6 in the supplementary material). The tested models are: Higuchi [34], Korsmeyer-Peppas [35][36][37][38][39], and Weibull [40,41]. These models share a similar mathematical form: (i) the released amount of drug is described as the ratio between the cumulative amount of drug released at time t, M t , and infinite time, M ∞ ; (ii) time is scaled by a factor k; (iii) dependency on time is defined according to a power law.…”
Section: Resultsmentioning
confidence: 99%
“…(3), Table 4) [31,32]. The Korsmeyer-Peppas model provides information on the diffusion of the drugs within the gel matrices.…”
Section: -4 Mechanical Propertiesmentioning
confidence: 99%