Biomedical Engineering Reference
In-Depth Information
Table 8.5: Fractal dimensions for the binding and dissociation phase for (a) the binding and
dissociation of 2 mM sucrose and different concentrations of (a) BNO1, (b) BNO2, (c) BNO3
and (d) BNO4 in solution to fructosyltransferase (FTF) immobilized on a surface plasmon
resonance (SPR) biosensor surface (
Jabbour et al., 2007
).
Analyte in Solution
D
f
D
f1
D
f2
D
fd
(a)
2 mM sucrose
þ
0
M
1.404
0.029
na
na
1.109
0.0158
m
BNO1
2 mM sucrose þ 60
m
M
BNO1
1.715 0.0196
na
na
1.425 0.131
2 mM sucrose þ 600
m
M
BNO1
1.204 0.0967
na
na
0.637 0.148
(b)
2 mM sucrose þ 15 nM
BNO2
0.858 0.133
na
na
0.9884 0.0019
2 mM sucrose þ 30 nM
BNO2
1.9034 0.02314
na
na
1.9894 0.496
(c)
2 mM sucrose
þ
0.006 nM
1.0644
0.0978
na
na
1.0
0.0
BNO3
10
15
2 mM sucrose
þ
30 nM
1.094
0.101
0.9748
0.126
3.0-4.2
na
BNO3
(d)
2 mM sucrose
þ
60
M
1.500
0.0358
na
na
1.698
0.1050
m
BNO4
2 mM sucrose þ 150
m
M
BNO4
2.118 0.0894
2.3816 0.0776 1.1550 0.0712 2.152 0.166
oxazaborolidine, BNO1 in solution to the FTF immobilized on a SPR biosensor chip surface.
The affinity,
K
(
¼
k
/
k
d
), is given by:
:
:
1
021
0
869
K
ð¼
k
=
k
d
Þ¼
11
:
965
4
:
255
Þð
D
f
=
D
fd
Þ
ð
8
:
3b
Þ
The fit is reasonable. Only three data points are available. The availability of more data
points would lead to a more reliable fit. The affinity,
K
(
k
/
k
d
), exhibits close to a first (equal
to 1.021) order of dependence on the ratio of fractal dimensions, (
D
f
/
D
fd
), that exists on the
SPR biosensor chip surface.
¼
Figure 8.7c
shows the increase in the dissociation rate coefficient,
k
d
, for a single-fractal
analysis with an increase in the fractal dimension,
D
fd
, for the dissociation of 0-600
m
M
