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Based on our calculated values of these three indexes, we found that about 60% of the viral infection is attributed to the cell-to-cell infection in the in vitro cell culture system (Table 1), which is consistent with previous estimation by Komarova and Wodarz (2013), Komarova et al. (2013a), and Komarova et al. (2013b).

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Based on our results, we calculated required time and dialysate to increase Kt with different Qd using calculated Kmin (Table  2).

Based on our formula, we calculated the sensitivity and specificity of the adjusted scores (T scores).

Based on our suggestions, we calculated the total value-added and non-value-added time of the process in the designed future state map.

Based on our data, we calculated diversity indices for the seven TR loci with values ranging from 55.9 to 92.2% (Table 2).

Based on our allele frequencies, we calculated that comparison at a minimum of nine loci was necessary to obtain a PIDsib < 0.001 and thus confidently determine that identical genotypes originated from the same individual rather than two different individuals, including for example full siblings.

Based on our pilot data, we calculate that a study with 88 participants completing the trial in each arm - requiring 104 subjects in each arm to allow for 15% loss to follow-up - would provide 80% power to detect the differences observed.

In Additional file 1: Table S1, the percentage concentrations of both crystalline phases (Fe3O4 and α-Fe2O3) are calculated based on our experimental XRD data.

The sample size was calculated based on our earlier findings [ 3].

Therefore a minimum reserve size was calculated based on our density estimation in TWR.

For each TF target pair, the posterior probabilities were calculated based on our Naive Bayes model.

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