\(v_{X}=\frac{\left[\text{GlcX}\right]^{\text{app}}V_{X}}{{}^{\text{app}}K_{\text{GlcX}}+[\text{GlcX}]}\) (Eq.1)
\(v_{X}=\frac{\left[\text{GlcX}\right]^{\text{app}}V_{X}}{{}^{\text{app}}K_{\text{GlcX}}+\left[\text{GlcX}\right]+\frac{\left[\text{GlcX}\right]^{2}}{{}^{\text{app}}K_{i,GlcX}}}\) (Eq.2)
\(v_{X}=\frac{\left[\text{GOH}\right]^{\text{app}}V_{X}}{{}^{\text{app}}K_{\text{GOH}}+\left[\text{GOH}\right]}+v_{H}^{\left[\text{GOH}\right]=0}\) (Eq.3)
\(\frac{v_{X}}{v_{H}}=\frac{v_{\text{GG}}}{v_{H}}+1=TC\cdot\left[\text{GOH}\right]+1\) (Eq.4)