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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