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Table 3 Effect of uncertainty in pykF enzyme concentration measurement on rate constants estimation a

From: Extraction of elementary rate constants from global network analysis of E. coli central metabolism

Parameters 0% noise b 10% noise c 20% noise c
  Mean ± SD × 102 95% CI × 102 RE % Mean ± SD × 102 95% CI × 102 RE % Mean ± SD × 102 95% CI × 102 RE %
K 1f 1.59 ± 0.00 [1.59, 1.59] 0 1.61 ± 0.17 [1.54, 1.68] 1.3 1.51 ± 0.21 [1.42, 1.60] 5.0
K 1r 0.50 ± 0.02 [0.49, 0.50] 0 0.50 ± 0.06 [0.47, 0.52] 0 0.47 ± 0.07 [0.44, 0.50] 6.0
K 2f 4.58 ± 2.92 [3.37, 5.78] 0 4.61 ± 3.76 [3.05, 6.16] 0.7 4.52 ± 2.47 [3.50, 5.54] 1.3
K 2r 2.43 ± 1.85 [1.67, 3.19] 0 1.96 ± 1.76 [1.24, 2.69] 19.3 2.62 ± 1.71 [1.90, 3.32] 7.8
K 3f 2.71 ± 1.71 [2.00, 3.41] 0 2.69 ± 1.63 [2.02, 3.36] 0.7 2.70 ± 1.51 [2.08, 3.32] 0.4
K 4f 0.79 ± 0.31 [0.66, 0.92] 0 0.89 ± 0.56 [0.66, 1.12] 12.7 0.66 ± 0.19 [0.58, 0.74] 16.5
  1. a SD: Standard deviation; CI: Confidence interval; RE: Relative errors compared to 0% noise case.
  2. b Rate constants are the statistical solutions from 25 optimization runs which were performed with random initial guesses for parameters of pykF.
  3. c Rate constants are the statistical solutions from 25 optimization runs which were performed with random initial guesses for parameters and with Gaussian noise added to the experimentally determined pykF concentration.