Biomedical Engineering Reference
In-Depth Information
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
, and (c) the dissociation rate coefficient,
k
d
and the fractal
dimension,
D
fd
for a single-fractal analysis are given in
Tables 4.1
and
4.2
.
Figure 4.1d
shows the binding and dissociation of 5 nM C
a
in solution to ARC-704
immobilized on a SPR biosensor chip surface. Once again, a dual-fractal is required to ade-
quately describe the binding kinetics. A single-fractal analysis is adequate to describe the dis-
sociation 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
, and (c) the dissociation rate coefficient,
k
d
and the fractal dimen-
sion,
D
fd
for a single-fractal analysis are given in
Tables 4.1
and
4.2
.
Figure 4.1e
shows the binding and dissociation of 2.5 nM C
a
in solution to ARC-704
immobilized on a SPR biosensor chip surface. Once again, a dual-fractal is required to ade-
quately describe the binding kinetics. A single-fractal analysis is adequate to describe the dis-
sociation 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
, and (c) the dissociation rate coefficient,
k
d
and the fractal dimen-
sion,
D
fd
for a single-fractal analysis are given in
Tables 4.1
and
4.2
.
Figure 4.2a
and
Table 4.1
show the increase in the binding rate coefficient,
k
1
, with an
increase in the C
a
concentration (in nM) in the 0-50 nM range in solution for a dual-fractal
analysis. For the data shown in
Figure 4.2a
, the binding rate coefficient,
k
1
, is given by:
:
:
1
228
0
1422
k
1
¼ð
0
:
0513
0
:
0209
Þ½
C
a
,nM
ð
4
:
4a
Þ
The fit is very good. Only five data points are available. The availability of more data points
would lead to a more reliable fit. The binding rate coefficient,
k
1
, exhibits an order of depen-
dence between one and one and a half (equal to 1.228) on the C
a
concentration in solution in
the 0-50 nM concentration range.
Figure 4.2b
and
Table 4.1
show the increase in the binding rate coefficient,
k
2
, with an
increase in the C
a
concentration (in nM) in the 0-50 nM range in solution for a dual-fractal
analysis. For the data shown in
Figure 4.2b
, the binding rate coefficient,
k
2
, is given by:
0
:
771
0
:
0252
k
2
¼ð
1
:
0212
0
:
0638
Þ½
C
a
,nM
ð
4
:
4b
Þ
The fit is very good. Only five data points are available. The availability of more data points
would lead to a more reliable fit. The binding rate coefficient,
k
1
, exhibits an order of depen-
dence between one-half and one (equal to 0.771) on the C
a
concentration in solution in the
0-50 nM concentration range.
