For the Monod Growth Function R(N)=\frac{SN}{c+N} } , what is the significance of the constant c?

Question:

For the Monod Growth Function {eq}R(N)=\frac{SN}{c+N} {/eq}, what is the significance of the constant c?

Monod Growth Function:


We use the Monod growth function in the models used for the Life Sciences. This function is named after its inventor Sir Jacques Monod. We can say that this function describes the rate of microbial growth as a function of nutrient density.

Answer and Explanation:

As given: The Monod Growth Function {eq}R(N)=\dfrac{SN}{c+N} {/eq}.

  • {eq}R(N) {/eq} - Monod Growth function.
  • {eq}S {/eq} - Saturation level of the nutrient.
  • {eq}N {/eq} - Nutrient Density.
  • {eq}c {/eq} - A positive constant which affects the reproduction rate (The reproduction rate at {eq}c {/eq} is half the reproduction rate at {eq}N\rightarrow \infty {/eq})

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