From: Dynamic optimization of biological networks under parametric uncertainty
 | Nominal case | Linearization | Sigma points | PCE1 | PCE2 | PCE2 Uniform |
---|---|---|---|---|---|---|
α=1.96 |  |  |  |  |  |  |
\(\bar {J}\) | 11.913 | 13.477 | 13.618 | 13.847 | 13.601 | 13.591 |
σ J | 0.5470 | 0.9601 | 0.9942 | 1.0000 | 0.9835 | 0.9790 |
\(\bar {c_{t}}\) | 0.88917 | 1.4768 | 1.5273 | 1.5533 | 1.5347 | 1.5261 |
\(\sigma _{c_{t}}\) | 0.1818 | 0.3015 | 0.3110 | 0.3132 | 0.3137 | 0.3118 |
c t violation | 516 (51.6 %) | 4 (0.4 %) | 1 (0.1 %) | 0 (0.0 %) | 1 (0.1 %) | 2 (0.2 %) |
α=1.65 |  |  |  |  |  |  |
\(\bar {J}\) | 11.913 | 13.066 | 13.143 | 13.347 | 13.155 | 13.330 |
σ J | 0.5470 | 0.8489 | 0.8730 | 0.6813 | 0.8750 | 0.8881 |
\(\bar {c_{t}}\) | 0.88917 | 1.3384 | 1.3792 | 1.3940 | 1.3809 | 1.3660 |
\(\sigma _{c_{t}}\) | 0.1818 | 0.2740 | 0.2820 | 0.2808 | 0.2819 | 0.2754 |
c t violation | 516 (51.6 %) | 35 (3.5 %) | 22 (2.2 %) | 11 (1.1 %) | 22 (2.2 %) | 22 (2.2 %) |