Biomedical Engineering Reference
In-Depth Information
and the fractal dimensions,
D
f1
and
D
f2
, for a dual-fractal analysis, and (c) the dissociation rate
coefficient,
k
d
, and the fractal dimension in the dissociation phase,
D
fd
, for a single-fractal
analysis are given in
Tables 4.3
and
4.4
. Note that an increase in the degree of heterogeneity
on the biosensor chip surface leads to an increase in the binding rate coefficient. Similarly,
a decrease in the fractal dimension in the dissociation phase by a factor of 1.13 from a value
of
D
fd1
equal to 2.6566 to
D
fd2
equal to 2.3510 leads to a decrease in the dissociation rate
coefficient by a factor of 1.53 from a value of
k
d1
equal to 2.632 to
k
d2
equal to 1.715. Once
again, changes in the degree of heterogeneity present on the biosensor chip surface in the
dissociation phase and in the dissociation rate coefficient are in the same direction.
Once again, note that for a dual-fractal analysis, as the fractal dimension increases by a factor
of 1.896 from a value of
D
f1
equal to 1.5156 to
D
f2
equal to 2.8738, the binding rate coeffi-
cient increases by a factor of 10.14 from a value of
k
1
equal to 1.709 to
k
2
equal to 17.322.
Once again, an increase in the degree of heterogeneity on the biosensor chip surface leads to
an increase in the binding rate coefficient.
Figure 4.3c
shows the binding of 10 nM ARC-704 in solution to C
a
(950 RU) immobilized
on a Biacore S51 sensor chip surface (
Viht et al., 2007
). A dual-fractal analysis is required to
adequately describe the binding kinetics. A single-fractal analysis is required to adequately
describe the dissociation kinetics. The values of (a) the binding rate coefficient,
k
, and the
fractal dimension,
D
f
, for a single-fractal analysis, the binding rate coefficients,
k
1
and
k
2
,
and the fractal dimensions,
D
f1
and
D
f2
, (c) and the dissociation rate coefficient,
k
d
, and
the fractal dimension,
D
fd
, for a single-fractal analysis, are given in
Tables 4.3
and
4.4
.
Figure 4.3d
shows the binding of 5 nM ARC-704 in solution to C
a
(950 RU) immobilized on
a Biacore S51 sensor chip surface (
Viht et al., 2007
). A single-fractal analysis is required to
adequately describe the binding and the dissociation kinetics. The values of (a) the binding
rate coefficient,
k
, and the fractal dimension,
D
f
, for a single-fractal analysis, and (b) the dis-
sociation rate coefficient,
k
d
, and the fractal dimension,
D
fd
, for a single-fractal analysis, are
given in
Tables 4.3
and
4.4
.
Figure 4.3e
shows the binding of 2.5 nM ARC-704 in solution to C
a
(950 RU) immobilized
on a Biacore S51 sensor chip surface (
Viht et al., 2007
). A single-fractal analysis is required
to adequately describe the binding and the dissociation kinetics. The values of (a) the binding
rate coefficient,
k
, and the fractal dimension,
D
f
, for a single-fractal analysis, and (b) the dis-
sociation rate coefficient,
k
d
, and the fractal dimension,
D
fd
, for a single-fractal analysis, are
given in
Tables 4.3
and
4.4
.
Figure 4.4a
and
Table 4.3
show the increase in the binding rate coefficient,
k
1
, with an increase
in the ARC-704 concentration (in nM) in the 0-50 nM range in solution for a dual-fractal analy-
sis. For the data shown in
Figure 4.4a
, the binding rate coefficient,
k
1
, is given by:
1
:
4928
0
:
04688
k
1
¼ð
0
:
01339
0
:
00074
Þ½
ARC
704, nM
ð
4
:
5a
Þ
