Biomedical Engineering Reference
In-Depth Information
using Corel Quattro Pro 8.0 (1997) to model the experimental data using
Equations (11.1
)-(
11.3
),
wherein [analyte
receptor or Ab
Ag]
¼
kt
p
for the binding step, and [analyte
receptor or
kt
p
Ab
Ag]
¼
for the dissociation step.
The binding and the dissociation rate coefficients presented in
Table 11.1
are within 95%
confidence limits. For example, for the binding of 400 nM target T1 in solution to the probe
P14 immobilized on a DNA sensor chip the binding rate coefficient,
k
1
, value for a dual-
fractal analysis is 0.8623
0.0445. The 95% confidence limit indicates that the
k
1
values
will lie between 0.8178 and 0.90968. This indicates that the values are precise and signifi-
cant. To indicate the goodness-of-fit, the
r
2
value is provided. In this case the
r
2
value is
0.961. This is a typical value obtained.
Figure 11.1b
shows the binding and dissociation of the target T1 to the probe P12
(5
0
-Py-(T
10
)-GCC.TGG.ACG.ATA-3
0
) immobilized on the DNA chip. 12 refers to the
number of hybridizing bases. Once again, a dual-fractal analysis is required to adequately
describe the binding kinetics. A single-fractal analysis is adequate 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 the dissociation rate coefficient,
k
d
and the fractal dimension for dissociation,
D
fd
are given in
Table 11.1
.
Figure 11.1c
shows the binding and dissociation of the target T1 to the probe P10 (5
0
-Py-
(T
10
)-GCC.TGG.ACG.A-3
0
) immobilized on the DNA chip. 10 refers to the number of
hybridizing bases. Once again, a dual-fractal analysis is required to adequately describe
the binding kinetics. A single-fractal analysis is adequate 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 the dissociation rate coefficient,
k
d
and the fractal dimension for dissociation,
D
fd
are given in
Table 11.1
.
Figure 11.1d
shows the binding and dissociation of the target T1 to the probe P9 (5
0
-Py-(T
10
)-
GCC.TGG.ACG-3
0
) immobilized on the DNA chip. 9 refers to the number of hybridizing
bases. Once again, a dual-fractal analysis is required to adequately describe the binding kinet-
ics. A single-fractal analysis is adequate 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 the dissociation rate coefficient,
k
d
and the fractal dimension for
dissociation,
D
fd
are given in
Table 11.1
.
Figure 11.2a
and
Table 11.1
show for the binding of different targets (400 nM) in
solution to a probe immobilized on a DNA chip surface at 32.5
C and for a dual-fractal
analysis the decrease in the binding rate coefficient,
k
2
, with an increase in the fractal
