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. 2022 Oct 26;14(11):2299. doi: 10.3390/pharmaceutics14112299

Table 3.

Mathematical modelling of IBU release from effervescent matrix tablets in pH 1.2 HCl buffer (0.1 N).

Modelling Formulation Parameters R2 Adjusted AIC MSC
Zero-order IPM k0 = 4.3977 0.9685 0.0607 2.6787
5E k0 = 2.2858 0.9566 −3.8335 2.5255
10E k0 = 1.6920 0.9624 −11.1238 2.5833
First-order IPM k1 = 0.0452 0.9714 −0.5353 2.7781
5E k1 = 0.0232 0.9544 −3.5304 2.4749
10E k1 = 0.0171 0.9640 −11.4244 2.6334
Higuchi’s IPM kH = 4.4344 0.9245 5.2908 1.8070
5E kH = 2.2293 0.7662 6.3148 0.8341
10E kH = 1.7110 0.9373 −7.2374 1.9356
Kosmeyer–Peppas IPM kKP = 4.4822 n = 0.8128 0.9860 −5.1810 3.5523
5E kKP = 2.1939 n = 1.2903 0.9736 −6.1534 2.9121
10E kKP = 1.7299 n = 0.7760 0.9892 −20.2020 4.0963
Hixson-Crowell IPM kHC = 0.0149 0.9705 −0.3396 2.7454
5E kHC = 0.0077 0.9551 −3.6304 2.4916
10E kHC = 0.0057 0.9635 −11.3240 2.6167
Hopfenberg IPM kHB = 0.0023 n = 93.2625 0.9642 1.4792 2.4423
5E kHB = 0.4191 n = 0.0390 0.9855 −9.8755 3.5325
10E kHB = 0.0014 n = 20.3999 0.9548 −9.4031 2.2965
Peppas–Sahlin IPM k1 = 2.7052 k2 = 1.7390 m = 0.5990 0.9862 −5.4580 3.5985
5E k1 = 1.2791 k2 = 0.8772 m = 0.9303 0.9752 −6.3063 2.9376
10E k1 = 1.1047 k2 = 0.6117 m = 0.5863 0.9891 −20.2437 4.1033

Remark: The significance of bold indicates the estimated parameters from the best-fitted mathematic model.