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Table 1 Identification of Potential Contributing Factors

From: Estimation of the number of extreme pathways for metabolic networks

   R * ∑(d+d-) c * ∑(d+d-c) ( d + d ) R MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaamaaqaeabaGaeiikaGIaemizaq2aaSbaaSqaaiabgUcaRaqabaGccqWGKbazdaWgaaWcbaGaeyOeI0cabeaakiabcMcaPaWcbeqab0GaeyyeIuoaaOqaaiabdkfasbaaaaa@3696@ c i R MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaamaaqaeabaGaem4yam2aaSbaaSqaaiabdMgaPbqabaaabeqab0GaeyyeIuoaaOqaaiabdkfasbaaaaa@32D2@ ( d + d c ) R MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaamaaqaeabaGaeiikaGIaemizaq2aaSbaaSqaaiabgUcaRaqabaGccqWGKbazdaWgaaWcbaGaeyOeI0cabeaakiabdogaJjabcMcaPaWcbeqab0GaeyyeIuoaaOqaaiabdkfasbaaaaa@37E5@ d i MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaaeqaqaaiabdsgaKnaaBaaaleaacqWGPbqAaeqaaaqaamrtHrhAL1wy0L2yHvtyaeHbnfgDOvwBHrxAJfwnaGabaiab=brijbqab0GaeyyeIuoaaaa@3C18@ O d MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaaeqaqaaiabdsgaKbWcbaWenfgDOvwBHrxAJfwnHbqeg0uy0HwzTfgDPnwy1aaceaGae8NdX=eabeqdcqGHris5aaaa@3B70@ ( d ) ( O d ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaqadaqaamaaqababaGaemizaqgaleaat0uy0HwzTfgDPnwy1egaryqtHrhAL1wy0L2yHvdaiqaacqWFqessaeqaniabggHiLdaakiaawIcacaGLPaaadaqadaqaamaaqababaGaemizaqgaleaacqWFoe=taeqaniabggHiLdaakiaawIcacaGLPaaaaaa@42C9@
r Pre-log 0.459 0.656 0.509 0.666 0.6 0.0178 0.62 0.135 0.604 0.408
r Post-log 0.827 0.875 0.764 0.870 0.860 0.343 0.856 0.426 0.561 0.623
ρ 0.841 0.876 0.943 0.876 0.855 -0.059 0.845 0.478 0.496 0.603
Range Min 8 15 5 2 1.67 0.09 0.06 2 2 6
  Max 174 89132 35.08 5781.73 665.38 0.9 47.78 25 47 414
  1. A good factor for an estimating function must have a high correlation to that is being estimated. We further required that the factor must grow consistently with the number of ExPas. The rows labelled 'Pre-' and 'Post-' Log show the Pearson's correlations, r, between the number of ExPas and the corresponding factors. These factors were created using the following basic networks measurements: R = R eff the number of active reactions given the environmental conditions, d± = d±(r i ) the incoming/outgoing connectivity of reaction r i , c = c(r i ) the clustering coefficient of the ithreaction, MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaat0uy0HwzTfgDPnwy1egaryqtHrhAL1wy0L2yHvdaiqaaliab=brijbaa@3773@ the set of input reactions, and O MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaat0uy0HwzTfgDPnwy1egaryqtHrhAL1wy0L2yHvdaiqaaliab=5q8pbaa@3847@ the set of output reactions. Both Pearson's and Spearman's Rank correlation coefficients, r and ρ were used a guide to identify reliable contributing factors. Given this information, the final chosen factors are emphasized by an asterisk (*).