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Biomass growth in continuous stirred tank reactor (CSTR), a "chemostat" bioreactor

This is a simplified model of microbial growth kinetics. For examples, see Balakrishnan and Yang (2002) and Wu and Chang (2007).
The reactor volume is fixed at 1 m3.

Biomass growth rate = (μm * substrate conc / (ks + substrate conc)) * biomass conc
Yield coefficient = (α + β * substrate conc)γ
Substrate consumption rate = Biomass growth rate / Yield coefficient

Click the Run button to start. Hit the enter key or click out of field after changing inputs.

Enter β (m3/kg)

Enter γ

Enter α

Enter ks (kg/m3)

Enter μm (m3/kg/h)

Enter feed flow rate (m3/h)

Substrate feed conc (kg/m3)

Enter reset time (> 0 h)

Enter controller gain

Biomass set point (kg/m3)