Skip to main content
. 2020 Nov 25;10(4):242. doi: 10.3390/jpm10040242

Table 2.

Mathematical models fitted to the experimental ROP release curve: calculated fitting parameters, the square of correlation coefficient (R2), and chi-square (χ2). Data were fitted until the plateau is reached (64 min—96.4% of drug released), except in the Peppas–Salhin *** case (60% of ROP released).

Equation Number Fitting Equations Calculated Parameter(s) R2 χ2
(1) Zero Order
D = k·t
k: 1.533 ± 0.035 0.962 29.989
(2) First Order
D = 100·(1 − ek t)
k: −0.024 ± 0.002 0.865 145.406
(3) Higuchi
D = k·t0.5
k: 9.832 ± 0.497 0.758 260.997
(4) Hopfenberg *
D = 100·[1 − (1 − k·t)n]
k: 0.016 ± 2.4·10−4 0.976 25.419
(5) Korsmeyer-Peppas
(Power Law)
D = k·tn
k: 0.782 ± 0.112
n: 1.177 ± 0.037
0.987 13.598
(6) Peppas-Salhin **
D = k1·tm + k2·t2m
k1: −10.912 ± 2.897
k2: 5.571 ± 1.472
m: 0.404 ± 0.025
0.994 6.396
(6) Peppas-Salhin ***
D = k1·tm + k2·t2m
k1: −10.856 ± 0.792
k2: 5.264 ± 0.209
m: 0.415
0.988 4.677

* n = 1 because the studied formulation is a film, in accordance to the theoretical model; ** the m value was extrapolated by the fitting analysis; *** the m value was calculated after the determination of the aspect ratio (2a/l = diameter/thickness) by consulting Figure 1 reported by Peppas and Salhin (1989). As here reported, data were curve fitted until the first 60% of ROP was released.