Question

Derive the Michaelis–Menten equation.

Short answer

The Michaelis-Menten equation is$\text{v}={\text{V}}_{\text{max}}\left(\frac{\left[\text{S}\right]}{\left[\text{S}\right]{\text{+K}}_{\text{M}}}\right)$.

Step-by-step solution

Michaelis-Menten equation

By connecting the rate of reaction (product production) to the substrate concentration, the Michaelis-Menten equation determines the rate of enzyme catalysis. The equation is:

$\text{v}={\text{V}}_{\text{max}}\left(\frac{\left[\text{S}\right]}{\left[\text{S}\right]{\text{+K}}_{\text{M}}}\right)$

Where,

V= Velocity of the reaction

V_max= Maximum velocity of the reaction

[S]= Substrate concentration

K_M= Michaelis constant