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@
∑ ℐ 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@
( ∑ ℐ 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
0.855
-0.059
0.845
0.478
0.496
0.603
Range
Min
8
15
5
2
1.67
0.09
0.06
6
Max
174
89132
35.08
5781.73
665.38
0.9
47.78
25
47
414