Biomedical Engineering Reference
In-Depth Information
Figure 11.18a
and
Tables 11.11 and 11.12
show the increase in the binding rate coefficient,
k
1
, with an increase in the ss DNA concentration in solution in the 100-500 nM range. For the
data shown in
Figure 11.18a
the binding rate coefficient,
k
1
, is given by:
0
:
6132
0
:
05517
k
1
¼ð
556
:
51
36
:
18
Þ½
ss DNA, in nM
ð
11
:
8a
Þ
The fit is good. 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 an order of depen-
dence between a half and one (equal to 0.6132) on the ss DNA concentration in solution in
the 100-500 nM range. The nonintegral order of dependence exhibited lends support to the
fractal nature of the system.
Figure 11.18b
and
Tables 11.11 and 11.12
show the increase in the binding rate coefficient,
k
2
, with an increase in the ss DNA concentration in solution in the 100-500 nM range. For the
data shown in
Figure 11.18b
the binding rate coefficient,
k
2
, is given by:
0
:
5443
0
:
3197
k
2
¼ð
1383
:
75
8
:
41
Þ½
ss DNA, in nM
ð
11
:
8b
Þ
The fit is good. Only three data points are available. The availability of more data points
would lead to a more reliable fit. The binding rate coefficient,
k
2
, exhibits an order of depen-
dence slightly more than a half (equal to 0.5443) order on the ss DNA concentration in solu-
tion in the 100-500 nM range. Once again, the nonintegral order of dependence exhibited
lends support to the fractal nature of the system.
Figure 11.18c
and
Tables 11.11 and 11.12
show the decrease in the binding rate coefficient,
k
1
, with an increase in the fractal dimension,
D
f1
. For the data shown in
Figure 11.18c
the
binding rate coefficient,
k
1
, is given by:
10
12
10
12
D
19
:
14
15
:
48
k
1
¼ð
1
:
3
0
:
8
Þ
ð
11
:
8c
Þ
f1
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
, is extremely sensi-
tive to the fractal dimension,
D
f1
, or the degree of heterogeneity that exists on the sensor sur-
face as noted by the greater than nineteenth (equal to
19.14) order of dependence exhibited.
Figure 11.18d
and
Tables 11.11 and 11.12
show the decrease in the binding rate coefficient,
k
2
, with an increase in the fractal dimension,
D
f2
. For the data shown in
Figure 11.18d
the
binding rate coefficient,
k
2
, is given by:
10
12
10
12
D
11
:
45
8
:
644
f2
k
2
¼ð
:
:
Þ
ð
:
Þ
5
4
2
3
11
8d
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
2
, is extremely sensi-
tive to the fractal dimension,
D
f2
, or the degree of heterogeneity that exists on the sensor
