From: Dynamic optimization of biological networks under parametric uncertainty
 | Nominal case | Linearization | Sigma points | PCE1 | PCE2 | PCE2 uniform |
---|---|---|---|---|---|---|
α=1.96 |  |  |  |  |  |  |
\(\bar {J}\) | 6.5517 | 13.048 | 12.599 | 8.8045 | 9.1717 | 9.1498 |
σ J | 0.5323 | 1.1015 | 1.0665 | 0.7270 | 0.7600 | 0.7600 |
\(\bar {c_{t}}\) | 0.7023 | 1.0205 | 1.0208 | 1.1555 | 1.2254 | 1.2240 |
\(\sigma _{c_{t}}\) | 0.1744 | 0.1659 | 0.1687 | 0.2590 | 0.2684 | 0.2690 |
c t violation | 470 (47.0 %) | 10 (1.0 %) | 13 (1.3 %) | 21 (2.1 %) | 7 (0.7 %) | 9 (0.9 %) |
α=1.65 |  |  |  |  |  |  |
\(\bar {J}\) | 6.5517 | 10.079 | 9.6385 | 8.2798 | 8.5848 | 8.5683 |
σ J | 0.5323 | 0.8195 | 0.7762 | 0.6813 | 0.7092 | 0.7086 |
\(\bar {c_{t}}\) | 0.7030 | 1.0259 | 1.0277 | 1.0476 | 1.1077 | 1.1056 |
\(\sigma _{c_{t}}\) | 0.1744 | 0.1966 | 0.2042 | 0.2404 | 0.2495 | 0.2496 |
c t violation | 470 (47.0 %) | 28 (2.8 %) | 36 (3.6 %) | 55 (5.5 %) | 29 (2.9 %) | 29 (2.9 %) |