Biology Reference
In-Depth Information
94
They satisfy the initial conditions at t = 0, [E] = [E]
0
, [S] = [S]
0
, [ES] = 0
and [P] = 0. This set of ordinary differential equations is non-linear, since
three of the equations contain terms with the product of two unknowns.
However, we have:
or
This simply states that enzyme molecules are conserved.
SIMPLE ENZYME KINETICS
In simple enzyme kinetics, it is assumed that the formation of the enzyme-
substrate complex, ES, occurs very rapidly. Therefore, it is assumed that
so that the differential equation involving d[ES]/dt is reduced to an algebraic
equation:
The second assumption in simple enzyme kinetics is that the concentration
of the substrate, [S], hardly changes, i.e.:
at all times. This is a reasonable assumption if:
