Biomedical Engineering Reference
In-Depth Information
oxazaborolidine, BNO2 in solution to the FTF immobilized on a SPR biosensor chip surface.
The affinity,
K
(
¼
k
/
k
d
), is given by:
3
:
87
2
:
14
K
ð¼
k
=
k
d
Þ¼ð
12
:
71
þ
32
:
96
Þð
D
f
=
D
fd
Þ
ð
8
:
4c
Þ
The fit is reasonable. There is scatter in the data. Only three data points are available. The
availability of more data points would lead to a more reliable fit. Only the positive error is
given since the affinity,
K
, cannot have a negative value. The affinity,
K
(
k
/
k
d
), exhibits
between three and a half and four (equal to 3.87) order of dependence on the ratio of fractal
dimensions, (
D
f
/
D
fd
), that exists on the SPR biosensor chip surface.
¼
Figure 8.10
shows the increase in the binding rate coefficient,
k
, with an increase in the frac-
tal dimension,
D
f
, on the SPR biosensor chip surface for both the results presented in
Figure 8.7a
(oxazaborolidine derivative, BNO1) and in
Figure 8.7b
(oxazaborolidine deriva-
tive, BNO2). In this case, there are five data points available compared to only three data
points when BNO1 and BNO2 were plotted separately. For the data presented in
Figure 8.10
,
the binding rate coefficient,
k
, is given by:
D
6
:
386
1
:
349
k
¼ð
5
:
577
þ
5
:
688
Þ
ð
8
:
5
Þ
f
The fit is good. Only five data points are available. The availability of more data points
would lead to a more reliable fit. Only the positive error is given since the binding rate
coefficient,
k
, cannot have a negative value. The fact that two data sets are plotted together
(for BNO1 and BNO2), and that the fit is good is encouraging. The binding rate coefficient,
k
, exhibits an order of dependence between six and six and a half (equal to 6.386) on the
fractal dimension,
D
f
, or the degree of heterogeneity that exists on the SPR biosensor surface
for the two cases presented together. The higher than sixth order dependence exhibited indicates
that the binding rate coefficient,
k
, is very sensitive to the degree of heterogeneity that exists
on the SPR biosensor chip surface.
200
150
100
50
0
0.8
1
1.2
1.4
1.6
1.8
Fractal dimension,
D
f
Figure 8.10