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Table 6 Case 2 - Overview of the number of states, CPU time, objective function values, terminal constraint values and their expected values and standard deviations for the different approximation techniques for uncertainty propagation when the enzymatic cost is minimized for α=1.96 for 3 uncertain parameters (K m , λ and k cat)

From: Dynamic optimization of biological networks under parametric uncertainty

 

Nominal

Linearization

Sigma points

PCE1

PCE2

States

9

36

63

36

90

CPU time [s]

0.547

117.474

25.65

4.574

25.847

E[J]

6.500

12.945

8.338

8.799

9.168

\(\sqrt {\mathbf {Var}[J]}\)

0

1.113

0.697

0.739

0.791

c t

0.675

0.675

0.675

0.675

0.675

E[c t ]

0.675

1.000

1.067

1.163

1.210

\(\sqrt {\mathbf {Var}[c_{t}]}\)

0

0.166

0.200

0.249

0.273