The formula to calculate the reaction velocity is:
\[ V = \frac{Vmax \times [S]}{Km + [S]} \]
Where:
The Michaelis-Menten equation is a mathematical model describing the enzymatic reaction rate. It was named after Leonor Michaelis and Maud Menten, who proposed the model in 1913. The equation illustrates the relationship between a substrate’s concentration and the reaction speed, taking into account the maximum speed of the reaction (Vmax) and the substrate concentration at which the reaction speed is half of Vmax (Km). It is a fundamental concept in enzyme kinetics, which is the study of the rate of chemical reactions catalyzed by enzymes.
Example 1:
Using the formula:
\[ V = \frac{100 \times 50}{30 + 50} = \frac{5000}{80} = 62.5 \]
Example 2:
Using the formula:
\[ V = \frac{200 \times 75}{50 + 75} = \frac{15000}{125} = 120 \]