Sentence examples for robustness coefficient from inspiring English sources
To investigate the effectiveness of the proposed robust control method, the simulation is carried out at four different values of the robustness coefficient γ in two different stages: The training stage, in which the simulation is done for a constant load torque.
The robustness coefficient was calculated as an averaged quantity [ 22], obtained from 5000 simulations for each individual case study.
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 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).
Robustness quantifies the change in the output characteristics of a model induced by the TPV and represented as [ 8, 23]: R f,TPV M = − ∑ p = 1 N l o g f p f 0 N Where R f,TPV M is the robustness coefficient of the output f for a model "M" where f0 and f p are the output under the unperturbed and perturbed conditions respectively and N is total number of parameters varied.
Values of the robustness coefficients for USEQ and PSEQ conditions for all the models are given in Additional file 2: Table S4.
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.
It can be noted that in the PSEQ condition, all the K2_QSS models exhibited remarkable robustness to phosphatase variations (the values in PSEQ are too close to zero and hence not viewable with the scale used for plotting both the USEQ and PSEQ values. The robustness coefficients for USEQ and PSEQ conditions are given in Additional file 2: Table S4C).
Furthermore, as discussed below, we check for the robustness of coefficient estimates by relaxing the threshold above which a major reform is identified, thereby increasing the number of shocks considered in the estimation.
On the other hand, the results confirm the CTRW robustness and the coefficient β seems well correlated to heterogeneities.
We tested for rank correlations between each of our measures of expression robustness and the coefficient of variation for protein expression (CV) measured in both complete and minimal media.
