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The Monod Equation. Originally, exponential growth of bacteria was consid- ered to be possible only when all nutrients, including the substrate, The Monod equation is a mathematical model for the growth of microorganisms. Archived from the original (PDF) on December 29, 2009.PDF | The Monod equation has been widely applied to describe microbial growth, but it has no mechanistic basis and is purely empirical. Extensive.