Table 3 Overview of all kinetic models used for model comparison.

Monod

\(\mu ={\mu }_{{\rm{\max }}}\cdot \frac{S}{{K}_{{\rm{S}}}+S}\)

(4)

³³

Haldane

\(\mu ={\mu }_{{\rm{\max }}}\cdot \frac{S}{{K}_{{\rm{S}}}+S+\frac{{S}^{2}}{{K}_{{\rm{I}}}}}\)

(5)

³²

Monod + toxicity limit

\(\mu ={\mu }_{{\rm{\max }}}\cdot \frac{S}{{K}_{{\rm{S}}}+S}\cdot (1-\frac{1}{1+{{\rm{e}}}^{-({\rm{S}}-{{\rm{K}}}_{{\rm{I}}})}})\)

(6)

This study

Toxicity limit

\(\mu ={\mu }_{{\rm{\max }}}\cdot (1-\frac{1}{1+{{\rm{e}}}^{-({\rm{P}}-{{\rm{K}}}_{{\rm{I}}})}})\)

(7)

This study

Linear inhibition

\(\mu ={\mu }_{{\rm{\max }}}\cdot (1-K\cdot P)\)

(8)

³⁴