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sci.fed-batch-bioreactor-yield Calculator
Calculates fed-batch bioreactor biomass yield, productivity, and carbon source consumption rate with substrate feeding. Fed-batch operation maintains substrate concentration below inhibiting levels — E. coli fed-batch achieves OD600 > 100 (≈50 g/L CDW) vs ~10 in batch; common in insulin production.
Inputs
X G L
Amount of solute per unit volume. Higher concentration = more solute dissolved.
V L
Three-dimensional space occupied (m³ or L). 1 m³ = 1,000 L.
S Feed G L
Amount of solute per unit volume. Higher concentration = more solute dissolved.
V Feed L
Three-dimensional space occupied (m³ or L). 1 m³ = 1,000 L.
Yxs
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
total biomass produced (g)
The combined total across all inputs and components.
observed yield Yxs (g biomass/g substrate)
The computed mass of the object or substance.
substrate consumed (g)
The arithmetic total of all input values.
volumetric productivity (g/L/hr, 10hr run)
The result of multiplying all input values together.
Yxs theoretical maximum
The largest value in the dataset or feasible range.
yield efficiency vs theoretical
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.