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Table 3 Selected EMs and the respective captured variance (ϑ) values for one to ten number of n Fac s obtained for experimental data given in Tortajada et al. [23] and the best first solution of the greedy approach (BF**)

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

n Fac

EM/ϑ

1

2

3

4

5

6

7

8

9

10

1

EM

90

         

1

ϑ

42.32

         

2

EMs

76

14

        

2

ϑ

38.88

76.83

        

3

EMs

76

14

40

       

3

ϑ

38.88

76.83

92.45

       

4

EMs

32

14

33

4/22

      

4

ϑ

38.71

76.66

90.41

98.87

      

5

EMs

32

14

33

4/22

37

     

5

ϑ

38.71

76.66

90.41

98.87

98.95

     

6

EMs

32

14

33

4/22

37

12

    

6

ϑ

38.71

76.66

90.41

98.87

98.95

99.00

    

7

EMs

32

14

33

4/22

37

12

1

   

7

ϑ

38.71

76.66

90.41

98.87

98.95

99.00

99.01

   

8

EMs

32

14

33

4/22

37

12

1

5

  

8

ϑ

38.71

76.66

90.41

98.87

98.95

99.00

99.01

99.01

  

9

EMs

32

14

33

4/22

37

12

1

5

19

 

9

ϑ

38.71

76.66

90.41

98.87

98.95

99.00

99.01

99.01

99.01

 

10

EMs

32

14

33

4/22

37

12

1

5

19

20

10

ϑ

38.71

76.66

90.41

98.87

98.95

99.00

99.01

99.01

99.01

99.01

PCA

nlv*

1

2

3

4/22

5

6

7

8

9

 

PCA

ϑ

92.03

97.16

99.84

99.98

100.00

100.00

100.00

100.00

100.00

 

BF**

EMs

89

75

39

4

12

20

1

5

10

7

BF**

ϑ

42.32

76.72

92.33

97.95

98.10

98.20

98.27

98.27

98.27

98.27

  1. n lv * number of latent variables for PCA