quick notes for monod model

1. The idea of the monod equation: an equation to relate microbial growth rates in an aqueous environment to the concentration of a limiting nutrient. 2. In some applications, several terms of the form [S] / (Ks [S]) are multiplied together where more than one nutrient or growth factor has the potential to be limiting (e.g. organic matter and oxygen are both necessary to heterotrophic bacteria). Here, [S] is the concentration of the limiting substrate S for growth. 3. Then, comes Michaelis–Menten kinetics: the simplest case of enzyme kinetics, applied to enzyme-catalysed reactions of one substrate and one product. It takes the form of an equation describing the rate reaction rate v (rate of formation of product P, with concentration p) to a, the concentration of the substrate A. Its formula is given by the Michaelis–Menten equation: {\displaystyle v={\frac {\mathrm {d} p}{\mathrm {d} t}}={\frac {Va}{K_{\mathrm {m} } a}}} V, which is often written as the maximum, i.e., V_{\max }, represents the limiting rate approached by the system at saturating substrate concentration for a given enzyme concentration. When the value of the Michaelis constant m {\displaystyle K_{\mathrm {m} }} is numerically equal to the substrate concentration, the reaction rate is half of V. wiki is great check it out