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The area under the curve (AUC), Cmax, and Tmax for the test and reference formulations were calculated using the statistical moment method, and the related pharmacokinetic parameters are shown in Table 1.

Asymptotic sampling variances for all ten formulations were calculated using the formulae in Table 1.

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The AUC0-24h (for IB formulation) or AUC0-48h (for ibuprofen-OHB formulations) was calculated using linear trapezoidal rules.

The entrapment of S6S within the developed formulations was calculated using the following equation: (1) Entrapment    Efficiency    (EE % )     = Total    S 6 S    added    (nM ) − Free    S 6 S    (nM ) Total    S 6 S    added    (nM ) × 100.

The IC50 value of the formulation was calculated using "y = mx + c" formula, which was 69.87 μg/ml and that for the standard ascorbic acid and Trolox was 0.546 μg/ml and 0.025 μg/ml respectively.

Metal species were calculated using medium formulations as reported by manufacturers (BD, ThermoFisher Scientific, Sigma-Aldrich) at 37 °C, and pH of 6.8 and 7.0 for LB and DMEM mediums, respectively.

Furthermore, the probability of each model and log Bayes Factors (LBF) were calculated using the formulations as follows: (1) Prob model i = mL model i / ∑ j n mL model j ; (2) LBF = ln (mL (model1)) − ln (mL (model2)).

Shortest paths were calculated using only the giant network component and the geodesic formulation given by Freeman in the R programming language [41].

Shortest paths were calculated using only the giant network component and the geodesic formulation given by Freeman [ 37] using the R programming language [ 25].

Shortest distances were calculated using only the giant network component and the geodesic formulation given by Freeman Stelzll et al, 2005) using the R programming language (82).

The HSA-containing formulation reporting rate was calculated using: total exposure minus HSA-free sc IFN β-1a exposure.

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