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The 3-D geometrical collapse mechanism was analyzed by adding the oblique hinge lines along the longitudinal tube within the length of the plastically deformed zone.

Thus, emphasis is placed on deducing an accurate analytical solution for a perturbed reference orbit radius, which is analyzed by adding perturbed motion in the radial direction to the corresponding unperturbed reference orbit radius.

Categorical independent variables were analyzed by adding separate indicator variables for the categories to the model.

The incorporation of selenium into selenoproteins was analyzed by adding Se to cells in the form of selenite (University of Missouri Research Reactor) as described previously (Ganyc et al. 2007).

The association of NSE and hypothermia treatment was analyzed by adding an interaction term into the logistic regression model.

Soil pH was measured in 0.01 M CaCl2; H + Al were analyzed by adding SMP buffer solution to the same suspension used to determine pH, shaking for 15 min, and allowed to idle undisturbed for 1 h before readings with a pH meter.

In [9] using the rate equations, a semiclassical noise model for the RIN has been obtained and its properties have been analyzed by adding individual noise sources contributing to the RIN.

Considering that regulatory regions can be located either upstream or downstream of the genes under consideration, we defined the regions to be analyzed by adding flanking sequences with lengths of either 250, 500, or 1000 kb to the regions corresponding to both types of clusters, thus corresponding to regions of six different sizes (Table S4 and Table S5).

Using the hexo-/glucokinase deletion strains, inhibition of pentose consumption was analyzed by adding increasing amounts of D-glucose to the media.

The reactions were analyzed by adding 20 μL of a guaiacol internal standard solution (80 mM in methanol) to the reaction mixture, followed by extraction with 400 μL of dichloromethane (DCM).

The enzymatic activity was analyzed by adding a colorless solution of chromogen/substrate, and was measured with a photometer.