The elasticity for an enzyme catalyzed reaction with respect to the enzyme concentration has special significance. The Michaelis model of enzyme action means that the reaction rate for an enzyme catalyzed reaction is a linear function of enzyme concentration. For example, the irreversible Michaelis rate law is given below there the maximal velocity,  is explicitly given by the product of the  and total enzyme concentration, :
In general we can expresion this relationship as the product of the enzyme concentration and a saturation function, :
This form is applicable to many enzyme mechanisms. The elasticity coefficient can be derived as follows:
It is this result that gives rise to the control coefficient summation theorems.