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