Table 1.

Model nomenclature and parameter values

Symbol	Parameter	Units	Value	Source	Model sensitivity
μ max	Maximum growth rate	d−1	–	–	Modeled parameter
μ max,eco,min	Lowest maximum growth rate allowed	d−1	0.2	50	Sensitivea
μ max,eco,max	Highest maximum growth rate allowed	d−1	9.8	50	Sensitivea
μ max,constrain	Constraining growth rate used for modeling	d−1	5	Set to range center	Sensitivea
b e	Endogenous decay	d−1	–	–	Modeled Parameter
b e,eco,min	Lowest endogenous decay rate allowed	d−1	0.02	47, 48	Sensitivea
b e,eco,max	Highest endogenous decay rate allowed	d−1	0.2	49	Sensitivea
b e,constrain	Constraining endogenous decay used for modeling	d−1	0.11	Set to range center	Sensitivea
K s	Half-saturation constant	mg/L	50	Typical value	Insensitiveb
Y	Yield	mg X/mg S	0.3	Typical value	Insensitive
S in	Influent substrate concentration	mg/L	250	Typical value	Insensitive
S	Substrate concentration in the reactor	mg/L	–	–	Modeled parameter
X	Biomass concentration	mg/L	–	–	Modeled parameter
X settle	Settled biomass concentration	mg/L	–	–	Modeled parameter
V full	Full volume of reactor	L	12	Experimental setup	–
V t	Time variable volume of reactor	L	–	–	Modeled Parameter
V mixed drain	Mixed volume removed, dependent on MRT	L	Variablec	Experimental setup	–
V clarified drain	Clarified volume removed, 4 L-Vmixed drain	L	Variablec	Experimental setup	–
t cycle	Total cycle time	h	4	Experimental setup	–
t react	React time	h	3	Experimental setup	–
t settle	Settle time	h	0.5	Experimental setup	–
t mixed drain	Time to drain the mixed volume	h	0.167	Experimental setup	–
t clarified drain	Time to drain the clarified volume	h	0.167	Experimental setup	–
t fill	Fill time	h	0.333	Experimental setup	–
Q mixed drain	Mixed drain flowrate	L/h	Vmixed drain/tmixed drain	Experimental setup	–
Q clarified drain	Clarified drain flowrate	L/h	Vclarified drain/tclarified drain	Experimental setup	–
Q in	Influent flowrate	L/h	12	Experimental setup	–

^aSee Supplemental Figure 15

^bSee Supplemental Figure 14

^cSee Supplemental Table 1