Biomedical Engineering Reference
In-Depth Information
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0
0
0
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0
100
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A
B
Time (s)
Time (s)
Figure 8.8
Binding and dissociation of different concentrations (in nM) of oxazaborolidine derivative (BNO2)
þ
2 mM sucrose in solution to fructosyltransferase (FTF) immobilized on a SPR sensor chip surface
(
Jabbour et al., 2007
): (a) 15 (b) 30.
fractal dimension for the dissociation phase,
D
fd
, for a single-fractal analysis are given in
Tables 8.4
and
8.5
. In this case, the affinity,
K
(
¼
k
/
k
d
), value is 20.87.
Figure 8.8b
shows the binding and dissociation of 30 nM oxazaborolidine derivative,
BNO2
2 mM sucrose in solution to FTF immobilized on a SPR sensor chip surface
(
Jabbour et al., 2007
). A single-fractal analysis is adequate to describe the binding and the
dissociation kinetics. The values of (a) the binding rate coefficient,
k
, and the fractal dimen-
sion,
D
f
, for a single-fractal analysis, and (b) the dissociation rate coefficient,
k
d
, and the frac-
tal dimension for the dissociation phase,
D
fd
, for a single-fractal analysis are given in
Tables 8.4
and
8.5
. In this case, the affinity,
K
(
þ
¼
k
/
k
d
), value is 0.786.
Figure 8.9a
shows the increase in the binding rate coefficient,
k
, for a single-fractal analysis
with an increase in the fractal dimension,
D
f
, for the binding of 0-30 nM oxazaborolidine,
BNO2 in solution to the FTF immobilized on a SPR biosensor chip surface. The binding rate
coefficient,
k
, is given by:
D
f
7
:
01
3
:
32
k
¼
ð
5
:
247
11
:
43
Þ
ð
8
:
4a
Þ
The fit is reasonable. Only three data points are available. The availability of more data
points would lead to a more reliable fit. There is scatter in the data, and this is reflected in
the error in the binding rate coefficient. Only the positive error is given since the binding rate
coefficient cannot have a negative value. The binding rate coefficient,
k
, exhibits close to a
seventh (equal to 7.01) order of dependence on the fractal dimension,
D
f
, or the degree of
heterogeneity that exists on the SPR biosensor chip surface.
Figure 8.9b
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 0-30 nM
