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. 2023 Nov 4;13:19110. doi: 10.1038/s41598-023-46215-8

Table 3.

Mathematical modeling and release kinetics of the prepared FST-loaded LPHNPs (F3) and uncoated one (F1) as well as aqueous FST dispersion (S1) and FST/Tris aqueous solution (S2) (see Table 1 for F1 & F3 composition). (R2): Coefficient of determination, (n): Diffusional exponent, (β): shape parameter.

Formula code Zero-order (R2) First-order (R2) Higuchi-diffusion model (R2) Korsmeyer-Peppas equation Mechanism of release Weibull
(R2) (n) (R2) (β)
F3 in (pH 1.2) 0.6292 0.6645 0.8408 0.8635 0.5076 Fickian 0.8743 0.6293
F3 in (pH 6.8) 0.5851 0.6261 0.8046 0.8808 0.3626 Fickian 0.8878 0.3971
F3 in (pH 7.4) 0.6169 0.6815 0.8485 0.9265 0.3753 Fickian 0.9367 0.4258
F1 in (pH 1.2) 0.6274 0.6787 0.8461 0.8926 0.4906 Fickian 0.9048 0.5324
F1 in (pH 6.8) 0.5978 0.6618 0.8177 0.8666 0.3385 Fickian 0.8783 0.3817
F1 in (pH 7.4) 0.5803 0.6598 0.8204 0.9023 0.3193 Fickian 0.9145 0.3752
S1 in (pH 1.2) 0.2371 0.2360 0.4065 0.5210 0.3540 Fickian 0.5208 0.3632
S1 in (pH 6.8) 0.2751 0.2766 0.4949 0.6858 0.4245 Fickian 0.6865 0.4350
S1 in (pH 7.4) 0.2333 0.2347 0.4358 0.5937 0.2532 Fickian 0.5919 0.2620
S2 in (pH 1.2) 0.3060 0.3571 0.5681 0.9724 0.4148 Fickian 0.7807 0.5704
S2 in (pH 6.8) 0.2693 0.3302 0.5290 0.9844 0.3407 Fickian 0.7666 0.5111
S2 in (pH 7.4) 0.2369 0.3424 0.4908 0.9866 0.2944 Fickian 0.7587 0.5542