Table 3.

Biochemical rate coefficients (${\beta }_{j,k}$) of the biological processes within the biofilm

	$S_{\text{IC}}$	$S_{\text{DOC}}$	$S_{{\text{NO}}_3}$	$S_{{\text{NH}}_3}$	$S_{{\text{O}}_2}$	Rate
1	$-\frac{k_{E,\text{PH}}+(1-k_{E,\text{PH}})(k_{\text{DOC}}+1.0025)}{32}$	$k_{\text{DOC}}(1-k_{E,\text{PH}})$	$-\frac{0.1704}{32}(1-k_{E,\text{PH}})$		$\frac{k_{E,\text{PH}}+(1-k_{E,\text{PH}})(k_{\text{DOC}}+1)}{32}$	${\nu }_1$
2	$-\frac{k_{E,\text{PH}}+(1-k_{E,\text{PH}})(k_{\text{DOC}}+1.0025)}{32}$	$k_{\text{DOC}}(1-k_{E,\text{PH}})$		$-\frac{0.1704}{32}(1-k_{E,\text{PH}})$	$\frac{k_{E,\text{PH}}+(1-k_{E,\text{PH}})(k_{\text{DOC}}+1.3409)}{32}$	${\nu }_2$
3	$\frac{1-1.0025Y_{\text{DOC}}}{32Y_{\text{DOC}}}$	$-\frac{1}{Y_{\text{DOC}}}$		$-\frac{0.1704}{32Y_{\text{DOC}}}$	$-\frac{1-Y_{\text{DOC}}}{32Y_{\text{DOC}}}$	${\nu }_3$
4	$\frac{1}{32Y_H}-0.02976$	$-\frac{1}{Y_H}$		$-\frac{0.2}{33.6}$	$-\frac{1}{32Y_H}+0.03125$	${\nu }_4$
5	$\frac{1}{32Y_H}-0.02976$	$-\frac{1}{Y_H}$	$-\frac{0.8}{32Y_H}+0.02857$	$-\frac{0.2}{33.6}$		${\nu }_5$
6	$-\frac{1}{33.6}$		$\frac{1}{14Y_N}$	$-(0.00593+\frac{1}{14Y_N})$	$-\frac{1}{7Y_N}+\frac{1}{32}$	${\nu }_6$
7						${\nu }_7$
8						${\nu }_8$
9						${\nu }_9$