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The Gibbs energy for insertion into the bilayer core was calculated using hydrophobicity scales of residue transfer from water to octanol and to the membrane/water interface.
After cores were mapped, total pixel count for each core was calculated using the following equation: total pixel intensity × total pixel area/1000.
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MAGGIC score was calculated using online calculator.
Pairwise single locus FST between the two core collections was calculated using either GENETIX 4.05 (Belkhir et al. 1996) or BayeScan 2.1 (Foll and Gaggiotti 2008).
Table 5 shows the retained permeability of sandstone cores which was calculated using Eq. 1.
Physiological strain index (PSI) using simultaneous measurements of core temperature and heart rate was calculated using Moran's [ 33] equation.
Whereas for matches at DUES core positions, Nucexp was calculated using equation 11 for Ws, and 12 for Ss.
Core genome size was calculated using both microarray data and OrthoMCL output and pan-genome size was calculated using OrthoMCL output alone.
The permeability of shale cores (Table 1) was calculated using Eq. (1).
Hypergeometric distribution was calculated using R statistical package (R Development Core Team, 2006) with a significance threshold of 0.05.
The OSC of the core/shell nanoparticles was calculated using the change in the mass resulted from the release and uptake of oxygen atoms from the structure (Fig. 3) [23 24] 24].
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