Biomedical Engineering Reference
In-Depth Information
The fit is very good. Only four data points are available. The availability of more data
points would lead to a more reliable and better fit. The binding rate coefficient
k
is
sensitive to the thrombin concentration (16-130 nM) in solution as it exhibits an order of
dependence between first and one and a half (equal to 1.34) on the thrombin concentration
in solution.
Figure 15.10b
and
Table 15.6
show the increase in the dissociation rate coefficient
k
d
with an
increase in the thrombin concentration in solution in the 16-130 nM range for binding to a
best aptamer in generation 4(G4.04422). For the data shown in
Figure 15.10b
, the dissocia-
tion rate coefficient
k
d
is given by:
0
:
726
0
:
292
k
d
¼ð
0
:
120
þ
0
:
190
Þ½
thrombin concentration, nM
ð
15
:
5b
Þ
The fit is reasonable. There is scatter in the data, and this is reflected in the estimate for the
dissociation rate coefficient
k
d
. Only four data points are available. The availability of more
data points would lead to a more reliable and better fit. Only the positive value of the error is
given as the dissociation rate coefficient cannot have a negative value. The dissociation rate
coefficient
k
d
for a single-fractal analysis exhibits less than first- (equal to 0.726) order of
dependence on the thrombin concentration (16-130 nM) in solution.
Figure 15.10c
and
Table 15.6
show the increase in the binding rate coefficient
k
with an increase in the fractal
dimension
D
f
. For the data shown in
Figure 15.10c
, the binding rate coefficient
k
is given by:
D
11
:
62
0
:
714
k
¼ð
0
:
000235
0
:
0000033
Þ
ð
15
:
5c
Þ
f
25
7
6
20
5
15
4
10
3
5
2
1
0
0
20
40
60
80
100
120
140
0
20
40
60
80
100
120
140
B
A
Thrombin concentration (nM)
Thrombin concentration (nM)
Figure 15.10
(a) Increase in the binding rate coefficient, k for a single-fractal analysis with an increase in the
thrombin concentration (in nM) in solution. (b) Increase in the dissociation rate coefficient, k
d
for
a single-fractal analysis with an increase in the thrombin concentration (in nM) in solution.
Continued
