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. 2022 Feb 28;14(3):542. doi: 10.3390/pharmaceutics14030542

Table 6.

Release parameters of fitted experimental data for estradiol films prepared by cosolvency and nanoemulsion.

Model Name Equation Goodness of Fit Parameter Cosolvency Film Nanoemulision Film
R2 adjusted 0.9689 0.9768
Zero order F = k0 × t RMSE 6.4343 5.926
AIC 54.2245 33.0089
R2 adjusted 0.8511 0.8596
First order F = 100 × [1 − Exp(−k1 × t)] RMSE 14.0805 14.5686
AIC 68.3212 43.803
R2 adjusted 0.7687 0.7953
Higuchi F = kH × t0.5 RMSE 17.5484 17.5899
AIC 72.2843 46.0645
R2 adjusted 0.9837 0.9982
Korsmeyer-Peppasb F = kkP × tn RMSE 4.6546 1.6313
AIC 49.1944 18.1902
R2 adjusted 0.8924 0.8993
Hixson-Crowell F = 100 × [1 − (1 − kHC × t)3] RMSE 11.9675 12.3362
AIC 65.3945 41.8071
R2 adjusted 0.9933 0.9983
Hopfenberg F = 100 × [1 − (1 − kHB × t)n] RMSE 2.9814 1.6108
AIC 41.1765 18.0388
R2 adjusted 0.7007 0.7312
Baker-Lonsdale 3/2 × [1 − (1 − F/100)2/3] − F/100 = kBL × t RMSE 19.9617 20.1554
AIC 74.6036 47.6983
R2 adjusted 0.9841 0.9983
Peppas-Sahlinc F = k1 × tm + k2 × t2m RMSE 4.6033 1.604
AIC 49.6076 18.2614
R2 adjusted 0.9972 0.9912
Weibull F = 100 × {1 − Exp[− ((t − Ti)β)/α]} RMSE 1.9443 3.6431
AIC 34.0936 28.1058

Notes: F, Percentage of drug released at time t; k0, Zero order release constant; k1, First order release constant; kH, Higuchi release constant; kkP, Release rate constant, and bn, diffusional release exponent; kHC, Release constant relevant to Hixson–Crowell model; kHB, Combined constant corresponding to Hopfenberg model in which kHB = k0/(C0 × α0) where k0, erosion rate constant, C0, initial drug concentration in the matrix, α0, initial radius for a slab/cylinder/sphere structure, and n, 1, 2, and 3 for the slab, cylinder, and sphere structure, respectively; kBL, Combined constant related to Baker–Lonsdale model in which kBL = [3 × D × Cs/(r02 × C0)] where D, diffusion coefficient, Cs, saturation solubility, r0, initial radius for a sphere/cylinder/slab structure, and C0, initial drug concentration in the matrix; ck1, Constant relevant to the Fickian kinetics, and ck2, constant relevant to Case-II relaxation kinetics, and cm, diffusional release exponent; Abbreviations: R2 adjusted, adjusted coefficient of determination; RMSE, Root mean squared error; AIC, Akaike Information Criterion.