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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.