Saturable drug metabolism

The interaction between the drug (D) and the enzyme (E) to form the metabolite (M) can be expressed by the following scheme:

D + E DE E + M

The Michaelis-Menten expression can be derived from the scheme described above:

V =

Vmax Cp

Km + Cp

This is a hyperbolic function that describes the relationship between the rate of an enzymatic reaction (V) and the drug conc (Cp)

Vmax
Km

Vmax is the maximum rate of the reaction and Km is the Michaelis-Menten constant