Dimensions | Moore-Penrose | Steady-state | Average |
|---|
6 | 6.67%
| 0.15%
| 0.18%
|
5 | 10.58%
| 0.55%
| 0.51%
|
4 | 13.99%
| 0.54%
| 1.26%
|
3 | 26.93%
| 4.78%
| 4.77%
|
2 | 78.36%
| 13.45%
| 12.88%
|
1 | 70.92%
| 75.56%
| 82.34%
|
- Each row represents a further level of dimensional reduction for the model, whilst the columns represent the different methods of lumping inverse. The ‘Moore-Penrose’ column contains values where the lumping inverse \(\bar {L}\) is the Moore-Penrose or pseudoinverse of the lumping matrix L. The ‘steady-state’ column contains values where the lumping inverse \(\bar {L}\) is selected to reconstruct the unperturbed steady-state values of the original system such that \(\boldsymbol {x}^{\ast }_{\boldsymbol {u}_{0}}=\bar {L}\tilde {\boldsymbol {x}}^{\ast }_{\boldsymbol {u}_{0}}\). The errors stated represent the maximal relative error between the original and reduced systems when simulated to steady-state under the introduction of 10μ
M concentration of attractant ligand at t=0
