Table 4.
Fitting equations for in vitro skin permeation of different formulations
Formulations | Release model | Fitting equation | R2 |
---|---|---|---|
Cationic-UDLs | First-order equation | Ln(1−Q) =−0.0175t−0.1402 | 0.8101 |
Higuchi equation | Q =0.0857t1/2+0.0153 | 0.9139 | |
Ritger–Peppas equation | Ln Q =0.6397lnt−2.6844 | 0.8659 | |
Weibull equation | Ln(Ln(1/(1−Q))) =0.7068lnt−2.6618 | 0.9041 | |
UDLs | First-order equation | Ln(1−Q) =−0.0148t−0.0388 | 0.9308 |
Higuchi equation | Q =0.0761t1/2−0.0567 | 0.9848 | |
Ritger–Peppas equation | Ln Q =1.4126lnt−4.9242 | 0.7818 | |
Weibull equation | Ln(Ln(1/(1−Q))) =1.465lnt−4.9356 | 0.7972 | |
Anionic-UDLs | First-order equation | Ln(1−Q) =−0.0119t+0.0078 | 0.9946 |
Higuchi equation | Q =0.0602t1/2−0.0748 | 0.9451 | |
Ritger–Peppas equation | Ln Q =1.1891lnt−5.0133 | 0.9778 | |
Weibull equation | Ln(Ln(1/(1−Q))) =1.2262lnt−5.0323 | 0.9847 | |
CLs | First-order equation | Ln(1−Q) =−0.0094t−0.0096 | 0.9754 |
Higuchi equation | Q =0.0508t1/2−0.0521 | 0.9973 | |
Ritger–Peppas equation | Ln Q =1.4571lnt−5.6055 | 0.8506 | |
Weibull equation | Ln(Ln(1/(1−Q))) =1.4891lnt−5.6175 | 0.8591 | |
Suspension | First-order equation | Ln(1−Q) =−0.0044t+0.0013 | 0.9953 |
Higuchi equation | Q =0.0243t1/2−0.0302 | 0.9653 | |
Ritger–Peppas equation | Ln Q =1.429lnt−6.4641 | 0.9386 | |
Weibull equation | Ln(Ln(1/(1−Q))) =1.4431lnt−6.4712 | 0.9411 |
Abbreviations: CLs, conventional liposomes; UDLs, ultradeformable liposomes.