Biomedical Engineering Reference
In-Depth Information
are plotted together owing to the lack of sufficient data (a minimum number of three data
points are required). For the data shown in
Figure 7.4
, the dissociation rate coefficient is
given by:
3
:
24
0
:
323
k
d
or
k
d2
¼ð
0
:
102
0
:
009
Þð
D
fd
or
D
fd2
Þ
ð
7
:
5a
Þ
The fit is good in spite of the fact that the two different pieces of data are plotted together.
Only three data points are available for the combined data. The availability of more data
points would lead to a more reliable fit. The dissociation rate coefficient,
k
d
or
k
d2
, is sensi-
tive to the degree of heterogeneity that exists on the biosensor surface in the dissociation
phase, since it exhibits an order of dependence between three (equal to 3.24) and three and
a half on the fractal dimension in the dissociation phase.
Figure 7.5
shows the increase in the dissociation rate coefficient,
k
or
k
d1
, with an increase in
the fractal dimension,
D
fd
or
D
fd1
. The two different pieces of data are, once again, plotted
together owing to the lack of sufficient data (a minimum number of three data points are
required). For the data shown in
Figure 7.5
, the dissociation rate coefficient is given by:
0
:
355
0
:
146
k
d
or
k
d1
¼ð
0
:
361
þ
0
:
433
Þð
D
fd
or
D
fd1
Þ
ð
7
:
5b
Þ
The fit is good in spite of the fact that the two different pieces of data are plotted together.
Only three data points are available for the combined data. The availability of more data
points would lead to a more reliable fit. The dissociation rate coefficient,
k
d
or
k
d1
, exhibits
less than one-half (equal to 0.355) order of dependence on the degree of heterogeneity or the
fractal dimension that exists on the biosensor surface.
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0
0.5
Fractal dimensions,
D
fd1
or
D
fd
1
1.5
2
Figure 7.5
Increase in the dissociation rate coefficient, k
d
or k
d1
with an increase in the fractal dimension,
D
fd
or D
fd1
.
