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Table 3 Main properties of the simplex vertices under the assumption of constant ATP-production

From: Exploring metabolism flexibility in complex organisms through quantitative study of precursor sets for system outputs

  Dataset Model name Example of Combinatorics of pathways   Validation Pathways with
    maximized         nonrelevant flux
    function R 19 R 15 R 14 R 8 R 64 R 63 R 13 values
     NADPH OAA →G3P OAA →PYR G3P →G6P Peptide Peptide Pyr OAA  
     oxidation     hydrolysis synthesis   
Extreme flux distributions within the set of plausible solutions (Ctrl) B v 15- v 19 0 1831 0 0 0 125 1835 R 13, R 64
(CN) 795 150 803
(Ctrl) F v 14- v 19 0 0 1831 0 0 125 1835 R 13, R 64
(CN) 795 150 803
(Ctrl) D v 8- v 19 0 0 0 3662 0 125 4 R 8, R 64
(CN) 1590 150 8
(Ctrl) H v 64- v 19 0 0 0 0 305 430 4  
(CN) 133 283 8
(Cntl) A v 15 + v 19 694 1714 0 0 0 125 1718 R 13, R 64
(CN) 22 791 150 799
(Ctrl) E v 14 + v 19 694 0 1714 0 0 125 1718 R 13, R 64
(CN) 22 791 150 799
(Ctrl) C v 8 + v 19 694 0 0 3428 0 125 4 R 8, R 64
(CN) 22 1583 150 8
(Ctrl) G v 64 + v 19 669 0 0 0 286 410 4  
  (CN) 22 132 282 8
Litterature-based upperbounds for fluxes      ≤ 591 Non-zero Lower than ≤ 266 mmol/h/half  
        mmol/ [28, 31] whole body udder [33]  
        h/half udder [33]   protein synthesis [29]   
  1. The qualitative properties of all vertices are shared in (Ctrl) and (CN) treatments. Both correspond to a simplex with height vertices. So are six of each of the (Ctrl) and (CN) simplex vertices. H and G vertices, in the (Ctrl) and (CN) treatments, are plausible with respect to the literature.