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Monod Equation Calculator

Calculate specific growth rate or substrate concentration using the Monod equation.

Calculate Specific Growth Rate

Enter the parameters to calculate the specific growth rate.

About the Monod Equation

The Monod equation is a mathematical model used to describe microbial growth kinetics. It relates the specific growth rate of microorganisms to the concentration of a limiting substrate in the growth medium.

The equation is expressed as:

μ = μmax × (S / (Ks + S))

Where:

  • μ is the specific growth rate
  • μmax is the maximum specific growth rate
  • S is the substrate concentration
  • Ks is the half-saturation constant (substrate concentration at which μ = μmax/2)

This equation is widely used in microbiology, bioprocess engineering, and environmental science to model and predict microbial growth under various conditions.