Table 2 Kinetic equations of the enzymes in the second part of the glycolysis.

From: Identification of flux checkpoints in a metabolic pathway through white-box, grey-box and black-box modeling approaches

Enzyme

Kinetic equationsa

PGAM

\(v=\frac{{V}_{f}\frac{[3PG]}{{K}_{m3PG}}-{V}_{r}\frac{[2PG]}{{K}_{m2PG}}}{1+\frac{[3PG]}{{K}_{m3PG}}+\frac{[2PG]}{{K}_{m2PG}}+\frac{[{PP}_{i}]}{{K}_{i{PP}_{i}}}}\)

ENO

\(v=\frac{{V}_{f}\frac{[2PG]}{{K}_{m2PG}}-{V}_{r}\frac{[PEP]}{{K}_{mPEP}}}{1+\frac{[2PG]}{{K}_{m2PG}}+\frac{[PEP]}{{K}_{mPEP}}+\frac{[{PP}_{i}]}{{K}_{i{PP}_{i}}}+\frac{[3PG]}{{K}_{i3PG}}}\)

PPDKb

\(v=\frac{{V}_{f}\left(ABC-\frac{PQR}{{K}_{eq}}\right)}{{K}_{mA}B+{K}_{mB}A+{K}_{mC}B+{K}_{mB}C+\frac{{V}_{f}{K}_{mQ}P}{{V}_{r}{K}_{eq}}+\frac{{V}_{f}{K}_{mP}Q}{{V}_{r}{K}_{eq}}+\frac{{V}_{f}{K}_{mQ}R}{{V}_{r}{K}_{eq}}+\frac{{V}_{f}{K}_{mR}Q}{{V}_{r}{K}_{eq}}+ABC+\frac{{V}_{f}PQR}{{V}_{r}{K}_{eq}}}\)

  1. aIn models using kcat and E, Vf were replaced by \({k}_{cat\_f}\cdot E\) and Vr were replaced by \({k}_{cat\_r}\cdot E\).
  2. bA, B and C and KmA, KmB and KmC are respectively the concentrations and Km of the substrates PEP, AMP and PPi; P, Q and R and KmP, KmQ and KmR are the concentrations and Km of the products Pyr, ATP, Pi.
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