Michaelis Menten Equation

The rate equation for enzyme catalyzed reactions is given by the Michaelis Menten equation.

(4-17)

The rate equation changes in the presence of inhibitors. The most important of these are as follows.

(4-18)

Uncompetitive inhibitor

(4-19)

Noncompetitive inhibitor

(4-20)

Substrate inhibition (uncompetitive)

(4-21)

Product inhibition (uncompetitive)

(4-22)

Monod Equation

There are several forms of modified Monod equation; the basic one is:

(4-23)

Rapid growth

(4-24)

Teisser model

(4-25)

Moser model

(4-26)

Contois model The Contois model takes biomass concentration into account.

(4-27)

Substrate and product inhibition models are also possible. They are similar to the enzyme rate equations. If two substrates are rate limiting, then the Monod equation becomes:

(4-28)

Growth rate equation with maintenance of the cells

(4-29)