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Table 7 Reduced networks

From: The topology of metabolic isotope labeling networks

pool atoms essential cumomer nodes percentage
Leu 6 297 2.9 %
Gly 2 488 4.7 %
Val 5 649 6.3 %
Arg 6 649 6.3 %
Glu 5 650 6.3 %
Ser 3 652 6.3 %
Ala 3 659 6.4 %
Cys 3 659 6.4 %
Gln 5 681 6.6 %
Pro 5 681 6.6 %
Lys 6 736 7.1 %
Ile 6 739 7.2 %
Met 5 741 7.2 %
Asp 4 742 7.2 %
Thr 4 742 7.2 %
His 6 983 9.5 %
Trp 11 1106 10.7 %
Phe 9 1802 17.5 %
Tyr 9 2313 22.4 %
  1. In case only a small subset of cumomers needs to be simulated, e.g. all cumomers of a single amino acid pool, a reduced network can be extracted from the full cumomer network. The reduced network provides a significant dimensional reduction and is minimal in the sense that it consists of the smallest subset of cumomers necessary to describe the desired set of cumomers subject to simulation. As an example the sizes of the reduced networks for all nineteen amino acid pools in the E. coli network are shown. Note that if the network size reduces to p percent, then also the running time of the simulation algorithm reduces to O MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaat0uy0HwzTfgDPnwy1egaryqtHrhAL1wy0L2yHvdaiqaacqWFoe=taaa@383C@ (p3) percent.