From: Dynamic optimization of biological networks under parametric uncertainty
 | Nominal case | Linearization | Sigma points | PCE1 | PCE2 |
---|---|---|---|---|---|
α=1.96 |  |  |  |  |  |
\(\bar {J}\) | 6.5268 | 12.996 | 12.549 | 8.7702 | 9.1358 |
σ J | 0.57543 | 1.1893 | 1.15230 | 0.78540 | 0.82107 |
\(\bar {c_{t}}\) | 0.69319 | 1.0106 | 1.0106 | 1.1406 | 1.2099 |
\(\sigma _{c_{t}}\) | 0.18291 | 0.17462 | 0.17752 | 0.27117 | 0.28089 |
c t violation | 477 (47.7 %) | 15 (1.5 %) | 18 (1.8 %) | 23 (2.3 %) | 13 (1.3 %) |
α=1.65 |  |  |  |  |  |
\(\bar {J}\) | 6.5268 | 10.04 | 9.6011 | 8.2477 | 8.5514 |
σ J | 0.57543 | 0.88430 | 0.83741 | 0.73621 | 0.76632 |
\(\bar {c_{t}}\) | 0.69319 | 1.0143 | 1.0157 | 1.0339 | 1.0933 |
\(\sigma _{c_{t}}\) | 0.18291 | 0.20620 | 0.21414 | 0.25176 | 0.26120 |
c t violation | 477 (47.7 %) | 31 (3.1 %) | 39 (3.9 %) | 53 (5.3 %) | 34 (3.4 %) |