Michaelis-Menten reaction

The Michaelis-Menten reaction is a simple example of enzyme-kinetics, where an enzyme is the catalyst for a reaction that transforms a substrate \(S\) into a product \(P\).

\[ S \to P \]

The reaction rate is given by,

\[ r = \frac{V\,c}{K_m+c} \]

Here, \(V\) is the maximum reaction rate and \(K_m\) is the concentration at which the rate reaches half of its maximum.