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
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