Biomedical Engineering Reference
In-Depth Information
10
35
9
30
8
25
7
20
6
15
5
4
10
0
1
2
Con A concentration (nM)
3
4
5
0
1
2 3
Con A concentration (nM)
4
5
L
M
35
30
25
20
15
10
1.25
1.3
1.35
1.4
1.45
1.5
N
D
f2
/
D
fd
Figure 12.10—cont'd
(l) Increase in the affinity, K
1
(
¼
k
1
/k
d
), with an increase in the Con A concentration in solution.
(m) Increase in the affinity, K
2
(
¼
k
2
/k
d
), with an increase in the Con A concentration in solution.
(n) Increase in the affinity, K
2
(
¼
k
2
/k
d
), with an increase in the ratio of the fractal dimensions, D
f2
/D
fd
.
Figure 12.10b
and
Table 12.5
show the increase in the binding rate coefficient,
k
2
, with an
increase in the Con A concentration in the 0.1-5.0 nM range for a dual-fractal analysis. For
the data shown in
Figure 12.10b
, the binding rate coefficient,
k
2
, is given by:
0
:
382
0
:
181
k
2
¼ð
5
:
269
3
:
431
Þð
Con A
Þ
ð
12
:
5b
Þ
The fit is reasonable. Only three data points are available. The availability of more data
points would lead to a more reliable fit. The binding rate coefficient,
k
1
, exhibits a low (equal
to 0.382) order of dependence on the Con A concentration in solution. The fractional order of
dependence exhibited by the binding rate coefficient,
k
2
, on the Con A concentration in solu-
tion lends support to the fractal nature of the system.
Figure 12.10c
and
Table 12.5
show the increase in the dissociation rate coefficient,
k
d
, with
an increase in the Con A concentration in the 0.1-5.0 nM range for a single-fractal analysis.
For the data shown in
Figure 12.10c
, the dissociation rate coefficient,
k
d
, is given by:
