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. Author manuscript; available in PMC: 2019 Aug 20.
Published in final edited form as: ISME J. 2019 Feb 20;13(6):1589–1601. doi: 10.1038/s41396-019-0371-6

Table 1. Model nomenclature and parameter values.

Symbol Parameter Units Value Source Model Sensitivity

μmax Maximum growth rate d-1 - - Modelled Parameter
μmax,eco,min Lowest maximum growth rate allowed d-1 0.2 50 Sensitive*
μmax,eco,max Highest maximum growth rate allowed d-1 9.8 50 Sensitive*
μmax,constrain Constraining growth rate used for modelling d-1 5 Set to range center Sensitive*
be Endogenous decay d-1 - - Modelled Parameter
be,eco,min Lowest endogenous decay rate allowed d-1 0.02 47,48 Sensitive*
be,eco,max Highest endogenous decay rate allowed d-1 0.2 49 Sensitive*
be,constrain Constraining endogenous decay used for modelling d-1 0.11 Set to range center Sensitive*
Ks Half-saturation constant mg/L 50 Typical value Insensitive
Y Yield mg X/mg S 0.3 Typical value Insensitive

Sin Influent substrate concentration mg/L 250 Typical value Insensitive
S Substrate concentration in the reactor mg/L - - Modelled Parameter
X Biomass concentration mg/L - - Modelled Parameter
Xsettle Settled biomass concentration mg/L - - Modelled Parameter

Vfull Full volume of reactor L 12 Experimental Setup -
Vt Time variable volume of reactor L - - Modelled Parameter
Vmixed drain Mixed volume removed, dependent on MRT L Variable Experimental Setup -
Vclarified drain Clarified volume removed, 4 L - Vmixed drain L Variable Experimental Setup -

tcycle Total cycle time hr 4 Experimental Setup -
treact React time hr 3 Experimental Setup -
tsettle Settle time hr 0.5 Experimental Setup -
tmixed drain Time to drain the mixed volume hr 0.167 Experimental Setup -
tclarified drain Time to drain the clarified volume hr 0.167 Experimental Setup -
tfill Fill time hr 0.333 Experimental Setup -

Qmixed drain Mixed drain flowrate L/hr Vmixed drain/tmixed drain Experimental Setup -
Qclarified drain Clarified drain flowrate L/hr Vclarified drain/tclarified drain Experimental Setup -
Qin Influent flowrate L/hr 12 Experimental Setup -