μ = μmax · (O2/(Ks+O2)) · (S/(Ks_s+S))
dX/dt = μ·X
τ_shear ∝ ρ·(N·D)² (impeller-driven)
Cultured meat is grown by expanding animal muscle stem cells inside a stirred-tank bioreactor. Growth follows Monod kinetics, limited by dissolved oxygen and nutrient concentration. The impeller mixes the broth to keep oxygen and nutrients homogeneous but too much agitation creates shear stress that can damage delicate cells - a key engineering trade-off.
- Impeller speed — mixes the tank faster, improving oxygen transfer but raising shear stress on cells.
- Dissolved O₂ setpoint — the oxygen level the sparger maintains; too low starves the culture.
- Nutrient feed rate — glucose/amino-acid supply rate; limits growth if too low.
- O₂ gradient field — toggles a visual field showing oxygen concentration from sparger to tank wall.
Real-world application: companies like Upside Foods and Mosa Meat scale exactly this kind of stirred-tank bioprocess from lab flasks to multi-thousand-litre reactors.