Biology Reference
In-Depth Information
101
The constant can be determined with the initial condition, i.e. at t = 0, [ES] =
0. Thus, the constant equals to -k
1
[E]
0
[S]
0
/ (k
1
[S]
0
+ k
1
+ k
2
). As a result,
For large values of t, the exponential term approaches zero, and [ES]
approaches the value found in simple enzyme kinetics.
Similarly, [E] also has this exponential transition from [E]
0
to the “steady
state” value in simple enzyme kinetics, since [E] + [ES] = [E]
0
.
To calculate [P], we need to integrate the rate equation:
and satisfy the initial condition of [P] = 0 at t = 0.
These transition regions are illustrated in Fig. 4-8 for small time.
