In this paper, we present a novel kinetic growth model for the micro-organism Methytococcus capsutatus (Bath) that couples growth and pH. We apply growth kinetics in a model for single-cell protein production in a laboratory scale continuous stirred tank reactor inspired by a physical laboratory fermentor. The model contains a set of differential algebraic equations describing growth and pH-dynamics in the system. We present a method of simulation that ensures non-negativity in the state and algebraic variables. Additionally, we introduce linear scaling of the algebraic equations and variables for numerical stability in Newton’s method. Finally, we conduct a numerical experiment of economic optimal control for single-cell protein production in the laboratory-scale reactor. The numerical experiment shows non-trivial input profiles for biomass growth and pH tracking.
|Conference||2023 European Control Conference |
|Period||13/06/2023 → 16/06/2023|