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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/ϑ 1 2 3 4 5 6 7 8 9 10
1 EM 70          
1 ϑ 29.61          
2 EMs 70 7         
2 ϑ 29.61 54.09         
3 EMs 70 7 40        
3 ϑ 29.61 54.09 71.50        
4 EMs 7 69 13 40       
4 ϑ 24.60 47.20 65.78 83.55       
5 EMs 7 71 33 13 37      
5 ϑ 24.60 46.34 64.74 82.59 94.05      
6 EMs 7 33 13 3 37 23     
6 ϑ 24.60 44.17 62.35 79.05 91.47 97.09     
7 EMs 7 33 13 3 37 23 12    
7 ϑ 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 ϑ 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 ϑ 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 ϑ 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 ϑ 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