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Table 2 Comparison of reduction error and stiffness coefficients at each level of dimensional reduction for the E coli signalling model under different approaches to conservation analysis using the combined algorithm

From: A combined model reduction algorithm for controlled biochemical systems

Dimensions Naive elimination Selective elimination
  Lumping error (ε) Stiffness Lumping error (ε) Stiffness
6 1.37% 876.73 0.15% 794.91
5 2.45% 904.80 0.51% 56.22
4 4.8% 907.59 0.54% 60.16
3 74.18% 542.24 4.77% 58.95
2 339.99% 99.32 12.88% 25.95
1 424.33% 1 75.56% 1
  1. This table compares the effect of either naively or rigorously selecting which species to eliminate via the application of conservation relations. 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