Table 5 Error results comparing the application of empirical balanced truncation, lumping, and the combined method of model reduction to the ERK activation model
From: A combined model reduction algorithm for controlled biochemical systems
Dimension | EBT error | Lumping error | Stiffness | Combined error |
|---|---|---|---|---|
75 | 0.76% | ≈0% ∗ | 42658 | − |
50 | # | 0.01% | 42633 | − |
25 | # | 0.52% | 10664 | − |
15 | # | 1.26% | 7934 | − |
14 | # | 2.21% | 7934 | − |
13 | # | 2.29% | 7934 | − |
12 | # | 1.21% | 1591 | − |
11 | # | 3.07% | 236 | − |
10 | # | 6.02% | 264 | 2.84% |
9 | # | 10.96% | 211 | 4.02% |
8 | # | 13.12% | 43 | 4.32% |
7 | # | 14.18% | 42 | 4.77% |
6 | # | 29.53% | 44 | 13.08% |
5 | # | 39.03% | 45 | 20.81% |
4 | # | 46.47% | 212 | 31.09% |
3 | # | 54.67% | 42 | 34.58% |
2 | # | 53.52% | 18 | 41.10% |
1 | # | 55.73% | 1 | 50.46% |