Biomedical Engineering Reference
In-Depth Information
Table 11.7: Binding and dissociation rate coefficients for different target complementary DNA
concentrations (in
M) in solution to a DNA probe, CYP29*2 immobilized on an ion-sensitive
field-effect transistor (IS-FET)-based biosensor (
Uno et al., 2007
).
m
Complementary
DNA
Concentration in
Solution (
M)
k
k
1
k
2
k
d
m
5
85.694
9.653
43.465
3.303
278.35
1.34
0.000256
0.000118
2.5
82.808
9.833
49.086
5.681
225.0
0.6886
0.6096
0.0056
1.0
26.792
3.322
8.427
0.302
74.183
0.174
1.864
0.092
0.1
1.847 0.255
na
na
0.8969 0.126
Table 11.8: Fractal dimensions for the binding and the dissociation phases for the different
target complementary DNA concentrations (in
M) in solution to a DNA probe, CYP29*2
immobilized on an ion-sensitive field-effect transistor (ISFET)-based biosensor (
Uno et al., 2007
).
m
Complementary
DNA Concentration
in Solution (
M)
D
f
D
f1
D
f2
D
fd
m
5
2.4606
0.1505
2.1140
0.1856
2.9360
0.01941
0.
รพ
0.3388
2.5
2.5416
0.09368
2.2890
0.1675
2.8933
0.00977
1.6066
0.0150
1.0
2.2146
0.09662
1.2392
0.08908
2.5728
0.00748
2.1800
0.06648
0.1
1.7662 0.1066
na
na
2.0364 0.01924
k
1
and
k
2
, and the fractal dimensions,
D
f1
and
D
f2
, for a dual-fractal analysis, and (c) the disso-
ciation rate coefficient,
k
d
, and the fractal dimension,
D
fd
, for the dissociation phase for a single-
fractal analysis are given in
Tables 11.7
and
11.8
. Note that for a dual-fractal analysis, as the frac-
tal dimension increases by 26.4% from a value of
D
f1
equal to 2.2890 to
D
f2
equal to 2.8933, the
binding rate coefficient increases by a factor of 4.58 from a value of
k
1
equal to 49.086 to
k
2
equal to 225.0. Note that changes in the fractal dimension or the degree of heterogeneity on
the sensor chip surface and in the binding rate coefficient are once again in the same direction.
Figure 11.12c
shows the binding and the dissociation of 1
m
M target DNA concentration in
solution to the probe PNA immobilized on the sensor surface. Once again, a dual-fractal anal-
ysis is required to adequately describe the binding kinetics. A single-fractal analysis is ade-
quate to describe the dissociation kinetics. The values of (a) the binding rate coefficient,
k
,
and the fractal dimension,
D
f
, for a single-fractal analysis, (b) the binding rate coefficients,
k
1
and
k
2
, and the fractal dimensions,
D
f1
and
D
f2
, for a dual-fractal analysis, and (c) the dis-
sociation rate coefficient,
k
d
, and the fractal dimension,
D
fd
, for the dissociation phase for a
single-fractal analysis are given in
Tables 11.7
and
11.8
. Note that for a dual-fractal analysis,
as the fractal dimension increases by a factor of 2.076 from a value of
D
f1
equal to 1.2392 to
D
f2
equal to 2.5728, the binding rate coefficient increases by a factor of 8.80 from a value of
