⚡ AnythingOnline
🔄
Chemostat Continuous Culture Calculator engineering
100% Free • No Sign-Up

Chemostat Continuous Culture Calculator

Microbial kinetics & continuous bioprocess: Calculate steady-state substrate (S̄), biomass (X̄), critical washout dilution rate (D_crit), and optimal productivity.

Monod Kinetic & Feed Parameters

E. coli ~0.6–1.0, Yeast ~0.35–0.45
Affinity constant (glucose ~0.02–0.1)
Inlet limiting nutrient concentration
Aerobic glucose ~0.45–0.52
D = Flow Rate F / Working Volume V
Chemostat vessel liquid capacity

Steady-State Chemostat Performance

Steady-State Biomass (X̄)
-
g dry cell weight / L
Volumetric Productivity (P)
-
-
Steady-State Substrate (S̄)
-
-
Critical Washout Rate (D_crit)
-
Threshold where cells wash out
Optimal Dilution Rate (D_opt)
-
For maximum biomass output
Hydraulic Retention Time (HRT)
-
Mean fluid residence time θ = 1/D

Recommended Tools & Equipment

Tested hardware and components for high reliability

100% Free Tool Zero Sign-Up

Frequently Asked Questions

How does a chemostat maintain steady-state cell growth?

In a chemostat continuous culture, fresh nutrient medium is pumped in at constant flow rate F while broth overflows at the identical rate, keeping volume V constant. By Monod kinetics, cells automatically adjust their specific growth rate µ to match the dilution rate D (µ = D), establishing a stable self-regulating steady state.

What is the critical washout dilution rate (D_crit)?

The critical washout dilution rate is the maximum feed rate at which cell division can keep pace with dilution. If D ≥ D_crit = µ_max · S₀ / (K_s + S₀), the residence time is shorter than the microbial doubling time, causing the cell population to dilute to zero.

Why does maximum productivity occur at an intermediate dilution rate?

Volumetric productivity is the product of dilution rate and biomass concentration (P = D · X̄). At very low D, biomass concentration is high but throughput is tiny. At high D approaching washout, throughput is rapid but biomass approaches zero. The mathematical optimum occurs at D_opt = µ_max · (1 - √(K_s / (K_s + S₀))).