Biomedical Engineering Reference
In-Depth Information
Table 8.4: Binding and dissociation rate coefficients 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
k
k 1
k 2
k d
(a)
2 mM sucrose
þ
0
M BNO1
90.83
2.60
na
na
4.753
0.431
m
2 mM sucrose þ 60 m M BNO1
140.9 2.76
na
na
11.92 0.89
2 mM sucrose þ 600 m M BNO1
22.84 1.95
na
na
1.022 0.082
(b)
2 mM sucrose þ 15 nM BNO2
2.88 0.295
na
na
0.138 0.0003
2 mM sucrose þ 30 nM BNO2
3.895 0.066
na
na
4.9586 0.496
(c)
2 mM sucrose þ 0.006 nM BNO3 6.478 0.813
na
na
0.5 0.0
2 mM sucrose þ 30 nM BNO3
1.825 0.313 1.515 0.241 180.0 0.0
na
(d)
2 mM sucrose
þ
60
M BNO4
5.884
0.247
na
na
1.125
0.149
m
2 mM sucrose
þ
150
M BNO4 10.713
1.57
16.640
1.051 0.8287
0.0008 4.372
0.646
m
( 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
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 22.35.
Figure 8.7a 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 0-600 m M oxazaborolidine,
BNO1 in solution to the FTF immobilized on a SPR biosensor chip surface. The binding rate
coefficient, k , is given by:
k ¼ð 11 : 269 6 : 926 ÞD 4 : 996 1 : 908
f
ð 8 : 3a Þ
The fit is good. Only three data points are available. The availability of more data points
would lead to a more reliable fit. The binding rate coefficient, k , exhibits close to a fifth
(equal to 4.996) order of dependence on the fractal dimension, D f , or the degree of heteroge-
neity that exists on the SPR biosensor chip surface.
Figure 8.7b shows the increase in the affinity, K ( ¼k / k d ), for a single-fractal analysis with
an increase in the ratio of fractal dimensions, ( D f / D fd ), for the binding of 0-600
m M
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