Table 2.

Matrix representation of the model structure for simultaneous growth and storage.

Component→ Process↓	S O	S S	S H1	S H2	X H	X P	S P	X STO	Rate equations
Growth of X H	$-\frac{1-Y_{\text{H}}}{Y_{\text{H}}}$	$-\frac{1}{Y_{\text{H}}}$			1				${\widehat{\mu }}_H\left(\frac{S_S}{K_S+S_S}\right)\left(\frac{S_O}{K_{OH}+S_O}\right)X_H$
Hydrolysis of S H1		1	−1						$k_{h1}\left(\frac{S_{H1}/X_H}{K_X+S_{H1}/X_H}\right)\left(\frac{S_O}{K_{HH}+S_O}\right)X_H$
Hydrolysis of S H2		1		−1					$k_{h2}\left(\frac{S_{H2}/X_H}{K_{XX}+S_{H2}/X_H}\right)\left(\frac{S_O}{K_{OH}+S_O}\right)X_H$
Storage of X STO	$-(1-Y_{\text{STO}})$	−1						Y STO	$k_{STO}\left(\frac{S_S}{K_{STO}+S_S}\right)\left(\frac{S_O}{K_{OH}+S_O}\right)X_H$
Growth on X STO	$-\frac{1-Y_{\text{H}}}{Y_{\text{H}}}$				1			$-\frac{1}{Y_{\text{H}}}$	${\widehat{\mu }}_{STO}{X}_{STO}\left(\frac{S_O}{K_{OH}+S_O}\right)$
Decay of X H	$-(1-f_{\text{E}})$				−1	f EX	f ES		$b_H{X}_H\left(\frac{S_O}{K_{OH}+S_O}\right)$
Parameters	O2	COD	COD	COD	Cell COD	COD	COD	COD

COD, chemical oxygen demand.

Full description of parameters is available in Table 4 .