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. 2021 Apr 25;13(5):617. doi: 10.3390/pharmaceutics13050617

Table 3.

Kinetic models for vitamin D3 degradation under different conditions.

Light Oxygen Other Conditions *
DW Cu2+ pH = 1
Model R 2 AIC R 2 AIC R 2 AIC R 2 AIC R 2 AIC
  • 0.

    order:

y = 100 − k × t
0.906 344.8 0.947 475.6 0.892 164.8 0.758 109.8 0.826 102.6
  • 1.

    order:

y = 100 ∗ exp(−k × t)
0.796 379.4 0.918 505.0 0.982 127.3 1.000 14.30 0.995 61.45
  • 2.

    order:

y = 100/(1 + k × t)
0.698 397.1 0.843 549.0 0.903 162.5 0.986 75.55 0.989 69.02
Weibull:y = 100 ∗ exp(−(t/λ)^k) 0.994 225.7 0.973 431.8 0.997 89.28 1.000 1.616 0.998 52.43

R2—coefficient of determination; AIC—the Akaike information criterion; k—slope (rate constant); t—time [h]; λ—scale parameter; k—shape parameter; * representative data provided for distilled water, Cu2+ ions, and pH = 1.