Biomedical Engineering Reference
In-Depth Information
0
:
153
0
:
099
k d
¼ð
:
:
Þð
Þ
ð
:
Þ
0
264
0
083
Con A
12
5c
The fit is reasonable. Only three data points are available. The availability of more data
points would lead to a more reliable fit. The dissociation rate coefficient, k d , exhibits a
very low (equal to 0.153) order of dependence on the Con A concentration in solution.
The fractional order of dependence exhibited by the dissociation rate coefficient, k d , on the
Con A concentration in solution lends support to the fractal nature of the system.
Figure 12.10d and Table 12.5 show the increase in the fractal dimension, D f1 , 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 12.10d , the fractal dimension, D f1 , is given by:
0 : 151 0 : 021
D f1 ¼ð
1
:
391
0
:
083
Þð
Con A
Þ
ð
12
:
5d
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 fractal dimension, D f1 , exhibits a very low (equal to
0.151) order of dependence on the Con A concentration in solution.
Figure 12.10e and Table 12.5 show the increase in the fractal dimension, D fd , with an
increase in the Con A concentration in the 0.1-5.0 nM range. For the data shown in
Figure 12.10e , the fractal dimension, D fd , is given by:
0
:
0077
0
:
0012
D fd ¼ð
1
:
811
0
:
0063
Þð
Con A
Þ
ð
12
:
5e
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 fractal dimension for dissociation, D fd , exhibits a very
low (equal to 0.0077) order of dependence on the Con A concentration in solution.
Figure 12.10f and Table 12.5 show the increase in the binding rate coefficient, k 1 , with an
increase in the fractal dimension, D f1 , for a dual-fractal analysis. For the data shown in
Figure 12.10f the binding rate coefficient, k 1 , is given by:
k 1 ¼ð 0 : 927 0 : 197 ÞD 2 : 204 0 : 458
ð 12 : 5f 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. For a dual-fractal analysis the binding rate coeffi-
cient, k 1 , exhibits a slightly higher than second (equal to 2.204) order of dependence on
the fractal dimension, D f1 , or the degree of heterogeneity that exists on the biosensor surface.
Figure 12.10g and Table 12.5 show the increase in the binding rate coefficient, k 2 , with an
increase in the fractal dimension, D f2 , for a dual-fractal analysis. For the data shown in
Figure 12.10g the binding rate coefficient, k 2 , is given by:
D 6 : 607 þ 7 : 80
f2
k 2 ¼ð
0
:
0109
þ
0
:
0158
Þ
ð
12
:
5g
Þ
Search WWH ::




Custom Search