Biomedical Engineering Reference
In-Depth Information
1.0
10
0.9
9
C S
0.8
8
C SE
7
0.7
6
0.6
5
0.5
4
0.4
C P E
3
0.3
2
0.2
1
0.1
C E
C P
0
0.0
0.01
0.1
1
10
100
0.01
0.1
1
10
100
k c t
k c t
FIGURE 8.25 Variations of free substrate, free product, and enzyme concentrations with time for k 1 C E0 ¼ 10 K c ;
K S ¼
10 k c . The dashed lines are the predictions from PSSH kinetics,
whereas the solid lines are from the full solutions.
1/C E0 ; K C ¼
5; K P ¼
0.5/C E0 ; and k 3 C E0 ¼
10
1.0
9
0.9
C S
C SE
8
0.8
7
0.7
6
0.6
5
0.5
4
0.4
3
0.3
C E
2
0.2
C P
1
0.1
C PE
0
0.0
0.01
0.1
1
10
100
0.01
0.1
1
10
100
k c t
k c t
FIGURE 8.26 Variations of free substrate, free product, and enzyme concentrations with time for k 1 C E0 ¼ k c ;
K S ¼
1/C E0 ; K C ¼
5; K P ¼
0.5/C E0 ; and k 3 C E0 ¼
10 k c . The dashed lines are the predictions from PSSH kinetics,
whereas the solid lines are from the full solutions.
That is
r ¼ k 1 ðC S C E C SE =K S Þ
(8.126)
Substituting the concentration of ES complex A and the concentration of free enzyme in the
reaction mixture, Eqn (8.126) renders
#
C S ðK C k 1
3 þK S k 1
ÞC S þK C k 1
C P
c
1
r ¼ k 1
C E
K C k 1
3 þK S k 1
þ k 1
1
c
(8.127)
C S K C C P
K C k 1
¼
C E
3 þK S k c þ k 1
1
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