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. 2017 Jan 10;12(1):e0169601. doi: 10.1371/journal.pone.0169601

Table 2. Statistical assessment of classic biochemical models.

RTrain2 RTest2 AICcTrain AICcTest
Model Parameters* βkMSE βk* CI**(βk*) (95%) βkMSE βk* βkMSE βk* βkMSE βk* βkMSE βk* GE***
Hill Kmfit 1.05 × 101 5.45 ± 6.58 × 101 0.816 0.760 0.135 0.210 1.88 × 102 2.03 × 102 5.02 × 101 4.87 × 101 1.823
Vmaxfit 8.09 × 10−3 6.02 × 10−3 ± 3.35 × 10−2
nfit 1.52 1.46 ± 7.04
MM(Kmfit,Vmaxfit) Kmfit 2.85 × 101 2.41 × 101 ± 1.46 × 102 0.813 0.724 0.150 0.151 1.86 × 102 1.87 × 102 4.65 × 101 4.65 × 101 1.820
Vmaxfit 1.44 × 10−2 1.28 × 10−2 ± 5.19 × 10−2
MM(KmLinder,Vmaxfit) KmLinder [52] 7.00 - - 0.754 0.754 0.199 0.200 2.02 × 102 2.02 × 102 4.55 × 101 4.54 × 101 2.106
Vmaxfit 6.99 × 10−3 7.00 × 10−3 ± 4.11 × 10−3
MM(Kmexp,Vmaxfit) Kmexp 1.04 × 101 - - 0.784 0.784 0.194 0.195 1.95 × 102 1.95 × 102 4.56 × 101 4.55 × 101 1.923
Vmaxfit 8.23 × 10−3 8.23 × 10−3 ± 4.46 × 10−3
MM(Kmexp,Vmaxexp) Kmexp 1.04 × 101 - - -0.550 - 0.645 3.01 × 102 3.08 × 101 -
Vmaxexp 1.45 × 10−2 - -

* Parameters units:

Km: [µM]

Vmax: [µM min−1]

** Confidence Interval

*** Generalization Error