Biomedical Engineering Reference
In-Depth Information
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
2
, exhibits an order of depen-
dence between seven and a half and eight (equal to 7.838) on the fractal dimension,
D
f2
, for
the ARC-704 concentration in solution in the 0-50 nM concentration range.
Figure 4.4g
and
Tables 4.3
and
4.4
show the increase in the dissociation rate coefficient,
k
d
,
with an increase in the fractal dimension in the dissociation phase,
D
fd
, for the ARC-704 con-
centration (in nM) in the 0-50 nM range in solution for a single-fractal analysis. For the data
shown in
Figure 4.2g
, the dissociation rate coefficient,
k
d
, is given by:
D
6
:
171
2
:
468
k
d
¼ð
0
:
006713
0
:
0207
Þ
ð
4
:
5g
Þ
fd
The fit is good. Only four data points are available. The availability of more data points
would lead to a more reliable fit. The dissociation rate coefficient,
k
d
, exhibits an order of
dependence close to six (equal to 6.171) on the fractal dimension,
D
fd
, for the ARC-704 con-
centration in solution in the 0-50 nM concentration range.
Figure 4.4h
and
Tables 4.3
and
4.4
show the increase in the ratio of the binding rate coefficients,
k
2
/
k
1
, with an increase in the fractal dimension ratio,
D
f2
/
D
f2
, for a dual-fractal analysis. For
the data shown in
Figure 4.4h
, the ratio of the binding rate coefficients,
k
2
/
k
1
, is given by:
3
:
287
0
:
4171
k
2
=
k
1
¼ð
1
:
0937
0
:
1783
Þð
D
f2
=
D
f1
Þ
ð
4
:
5h
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 ratio of the binding rate coefficients,
k
2
/
k
1
, is sensitive
to the ratio of the fractal dimensions,
D
f2
/
D
f1
, as noted by the close to three and three and a
half (equal to 3.287) order of dependence exhibited.
Figure 4.4i
and
Tables 4.3
and
4.4
show the increase in the affinity,
K
1
(
k
1
/
k
d
), with an
increase in the fractal dimension ratio,
D
f1
/
D
fd
, for a dual-fractal analysis. For the data shown
in
Figure 4.4i
, the affinity,
K
1
, is given by:
¼
3
:
441
0
:
629
K
1
¼ð
:
:
Þð
D
f1
=
D
fd
Þ
ð
:
Þ
1
856
0
458
4
5i
The fit is good. Only four data points are available. The availability of more data points would
lead to a more reliable fit. The affinity,
K
1
, is sensitive to the ratio of the fractal dimensions,
D
f1
/
D
fd
, as noted by the close to three and a half (equal to 3.441) order of dependence exhibited.
Figure 4.4j
and
Tables 4.3
and
4.4
show the increase in the affinity,
K
2
(
k
2
/
k
d
), with an
increase in the fractal dimension ratio,
D
f2
/
D
fd
, for a dual-fractal analysis. For the data shown
in
Figure 4.4j
, the affinity,
K
2
, is given by:
¼
4
:
408
0
:
8925
K
2
¼ð
1
:
404
0
:
13
Þð
D
f2
=
D
fd
Þ
ð
4
:
5j
Þ
