Biomedical Engineering Reference
In-Depth Information
Figure 7.16
Michaelis-Menten kinetics for product concentration.
7.3.2.2 More Insight on the Michaelis-Menten Law
The Michaelis-Menten model is only approximate because of the hypothesis of
a constant rate of production of the complex [
ES
]. In reality, the kinetics differ
somewhat of that of Figure 7.16. By looking closely at a plot of the kinetics of
production of concentration
P
, we find three different parts corresponding to three
different regimes (Figure 7.18).
In the following we investigate the physics behind the three different parts of
the reaction kinetics [5, 6]. The first part corresponds to the early stage of the reac-
tion
t < t
0
. During this stage, the concentration [
ES
] may be considered small, and
(7.20) collapses to
d ES
[
]
=
k E S
[
][ ]
=
k E S
[
] [ ]
=
const
1
1
0
0
d t
Figure 7.17
Lineweaver-Burk linear relation for an enzymatic reaction. A simple linear regression
produces the two Michaelis-Menten parameters
K
m
and
V
max
.
