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The modes are presented in the forth row of Table 1. Figure 9 shows the results of in silico experiment through conditional probability densities for the time to maximum of Y (Fig. 9 a), the intensity of Y (Fig. 9 b) and the area of Y (Fig. 9 c).
Finally, we performed conditional robustness analysis with the goal of obtaining a fast amplified pulse generation; therefore, we minimized the time to maximum of Y and maximized both the area and the intensity of Y.
Conditional robustness for time to maximum of Y (N =10000).
Moment Independent Robustness Indicator MIRII) for time to maximum of Y. (A) Single realization.
K2 minimizes the time to maximum of Y and k12 and λ maximizes the area and the intensity of the pulse Y, respectively.
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Figure 3 Convergence to minimum energy configurations (maximum value of y -axis represents the maximum system energy as occurred at the early sweeps).
Thus, maximum sensitivity was defined as maximum value of (Y – Y0)/Y0.
Applying the maximum principle, we get that the maximum value of (Y (T, x) ) cannot be taken on the interior and the border of the region, and hence (Y t,x leq max_{zinoverline{Omega}}Y 0,x)).
By changing each parameter and by multiplying with 0.001 to 1000 at an exponential rate, a maximum value of (Y – Y0)/Y0 was explored.
A random variable Y follows a four parameter beta distribution if: where ε ˜ BETA and parameters Θ and (Θ + scale) define the minimum and maximum values of Y respectively.
The asymptotically maximum level of Y (designated Ymax) is analogous to vmax, and the benzene concentration X at which Y = Ymax/2 (designated X50, in parts per million) is analogous to K m.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com