Fermentation Productivity Calculator | PharmacyFreak.com

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Process Inputs

Conc: Time: Vol:

Process Type

Batch Fed-Batch

Time & Volume

Fermentation Time (t) h

Working Volume (V) L

Biomass

Initial Biomass (X₀)g/L

Final Biomass (Xf)g/L

Substrate

Initial Substrate (S₀)g/L

Final Substrate (Sf)g/L

Product

Initial Product (P₀)g/L

Final Product (Pf)g/L

Fed-Batch Feed Parameters

Feed Volume Added (V_feed) L

Feed Substrate Conc (S_feed)g/L

Final Volume Override (V_final) L

Results

Live calculation

Volumetric Productivity (QP)
—
g/L/h

Biomass Productivity (QX)

—

g/L/h

Product Yield (YP/S)

—

g/g

Biomass Yield (YX/S)

—

g/g

Product Produced (mP)

—

Specific Productivity (qP)

—

g/g/h

Detailed Calculations ▶

Enter values to see detailed breakdown.

How to interpret results

QP (Volumetric Productivity) — Product formed per unit volume per unit time. Higher = faster production, but quality constraints may limit targets.

YP/S (Product Yield) — How efficiently substrate converts to product. 1 g/g is theoretical maximum; real values are lower.

QX (Biomass Productivity) — Growth rate indicator. High biomass ≠ high product in all cases (e.g. growth-associated vs non-growth-associated).

Note: Higher productivity is not always better — downstream processing, product quality, and regulatory constraints apply.

⚠ Educational tool only. Always validate calculations with your process SOPs and consult qualified process engineers for production decisions.

Chemostat Inputs

Conc: Vol:

Operating Conditions

Dilution Rate (D) 1/h

Reactor Volume (V)L

Max Growth Rate µmax (optional) 1/h

Steady-State Concentrations

Steady-State Biomass (Xss)g/L

Steady-State Product (Pss)g/L

Product in Feed (P_in) g/L

Substrate

Feed Substrate (S_in)g/L

Effluent Substrate (S_out)g/L

Results

Live calculation

Product Formation Rate (rP)
—
g/L/h

Product Mass Flow (ṁP)

—

g/h

Substrate Consumption Rate (rS)

—

g/L/h

Product Yield (YP/S)

—

g/g

Specific Growth Rate (µ ≈ D)

—

1/h

Volumetric Feed Rate (F)

—

L/h

Detailed Calculations ▶

Enter values to see detailed breakdown.

How to interpret results

rP — Volumetric product formation rate; the productivity of the chemostat at steady state.

D — At steady state, D = µ (specific growth rate). Increasing D increases productivity but risks washout when D → µmax.

YP/S — Product yield on substrate at steady state. Reflects metabolic efficiency.

⚠ Educational tool only. Always validate calculations with your process SOPs and consult qualified process engineers for production decisions.

Quick Compare — Scenario A vs Scenario B (Batch/Fed-Batch)

Enter values for two scenarios to compare performance side-by-side.

Conc: Time:

🔵 Scenario A

Time (t)h

Volume (V)L

X₀g/L

Xfg/L

S₀g/L

Sfg/L

P₀g/L

Pfg/L

🟢 Scenario B

Time (t)h

Volume (V)L

X₀g/L

Xfg/L

S₀g/L

Sfg/L

P₀g/L

Pfg/L

Comparison Results

Live

QP — Volumetric Productivity (g/L/h)

A: —B: —

QX — Biomass Productivity (g/L/h)

A: —B: —

YP/S — Product Yield (g/g)

A: —B: —

YX/S — Biomass Yield (g/g)

A: —B: —

mP — Product Produced (g)

A: —B: —

qP — Specific Productivity (g/g/h)

A: —B: —

⚠ Educational tool only. Validate with your process SOPs.

G S Sachin

I am a Registered Pharmacist under the Pharmacy Act, 1948, and the founder of PharmacyFreak.com. I hold a Bachelor of Pharmacy degree from Rungta College of Pharmaceutical Science and Research. With a strong academic foundation and practical knowledge, I am committed to providing accurate, easy-to-understand content to support pharmacy students and professionals. My aim is to make complex pharmaceutical concepts accessible and useful for real-world application.

Mail- Sachin@pharmacyfreak.com