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Table 2 Selected EMs and the respective variance (ϑ) values for one to 10 number of n Fac s obtained for the simulated data with 10 % Gaussian noise

From: A principal components method constrained by elementary flux modes: analysis of flux data sets

n Fac

EM/Ï‘

1

2

3

4

5

6

7

8

9

10

1

EM

70

         

1

Ï‘

29.61

         

2

EMs

70

7

        

2

Ï‘

29.61

54.09

        

3

EMs

70

7

40

       

3

Ï‘

29.61

54.09

71.50

       

4

EMs

7

69

13

40

      

4

Ï‘

24.60

47.20

65.78

83.55

      

5

EMs

7

71

33

13

37

     

5

Ï‘

24.60

46.34

64.74

82.59

94.05

     

6

EMs

7

33

13

3

37

23

    

6

Ï‘

24.60

44.17

62.35

79.05

91.47

97.09

    

7

EMs

7

33

13

3

37

23

12

   

7

Ï‘

24.60

44.17

62.35

79.05

91.47

97.09

97.26

   

8

EMs

7

33

13

3

37

23

12

19

  

8

Ï‘

24.60

44.17

62.35

79.05

91.47

97.09

97.26

97.30

  

9

EMs

7

33

13

3

37

23

12

19

16

 

9

Ï‘

24.60

44.17

62.35

79.05

91.47

97.09

97.26

97.30

97.31

 

10

EMs

7

33

13

3

37

23

12

19

16

17

10

Ï‘

24.60

44.17

62.35

79.05

91.47

97.09

97.26

97.30

97.31

97.32

PCA

nlv**

1

2

3

4

5

6

7

8

9

 

PCA

Ï‘

50.04

82.08

91.83

97.05

99.39

99.96

100.00

100.00

100.00

 
  1. The set of truly active EMs for data generation was EMs = [1, 3, 7, 12, 13, 14, 16, 19, 20, 22, 23, 24, 28, 32, 33, 37]. n lv ** number of latent variables for PCA