SQUARE45

Let

v_{\text{cat}}

be the maximum catalytic rate of an enzyme

E

acting on substrate

S

. If an inhibitor

I

is present, the observed reaction rate

v_{\text{obs}}

is modified. For a general reversible inhibition mechanism, the rate equation is given by: \begin{equation} v_{\text{obs}} = \frac{V_{\text{max}} [S]}{K_m \left( 1 + \frac{[I]}{K_i} \right) + [S]} \end{equation}. Here,

K_m

is the Michaelis constant, and

K_i

is the inhibition constant. The inhibition factor

\alpha = \left( 1 + \frac{[I]}{K_i} \right)

quantifies the reduction in apparent enzyme activity due to the binding of

I

to the enzyme-substrate complex or free enzyme.

Enzyme Inhibition

The statement of the theorem