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Thus, for the MAPK cascades, robustness coefficient of the cascade output MK-PP was measured as: R MK − PP,TPV M = − ∑ p = 1 N l o g M K − P P p M K − P P 0 N, Robustness by its definition is a negative quantity [ 8, 23], implying that value of robustness coefficient closer to zero corresponds to more robust systems.
The level of statistical support, which was expressed as the mean value of robustness proportion for internal nodes observed in the template tree, was plotted as a function of the factors to be simulated (Figure 3).
This is a low but not tiny value of robustness.
In evolving populations of metabolic networks, robustness facilitates the discovery of novel phenotypes only up to some modest value of robustness, beyond which populations discover fewer novel phenotypes.
The value of robustness is a negative quantity by definition [ 8, 28], but for plotting purpose we have shown the absolute value of robustness coefficient (Taking the absolute value doesn't affect the relative robustness in different models and the values closest to zero implies maximum robustness).
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These results are in agreement with previous studies [ 10, 15], although caution should be taken in interpreting these values of robustness.
The values of robustness coefficients for USEQ (−4.55) and PSEQ (−0.4) conditions were computed using SBML-SAT [ 22] and the values can be found in the Additional file 2: Table S4.
Accordingly, the mean value of these robustness statistics of all forks in a phylogenetic tree suggests the robustness of this tree.
We empirically used 0.6 as the cutoff value of membership robustness and took any cluster with at least five robust members to define the gene signature.
The positive value of the robustness for the glucose competition network (1.8281) indicates that C. albicans needs stable growth of mycelium by preying glucose from zebrafish.
Comparing the results of these two patients, we see that patient Co82 was much healthier than patient Mx34, namely patient Co82 had a higher value of mutational robustness.
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