Biomedical Engineering Reference
In-Depth Information
Figure 4.4c
and
Table 4.3
show the increase in the dissociation rate coefficient,
k
d
, with an
increase in the ARC-704 concentration (in nM) in the 0-50 nM range in solution for a sin-
gle-fractal analysis. For the data shown in
Figure 4.4c
, the dissociation rate coefficient,
k
d
,
is given by:
2
:
279
0
:
4669
k
d
¼ð
0
:
00159
0
:
00192
Þ½
ARC
704, nM
ð
4
:
5c
Þ
The fit is very 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 between two and two and a half (equal to 2.279) on the ARC-704 concentration
in solution in the 0-50 nM concentration range.
Figure 4.4d
and
Table 4.4
show for a dual-fractal analysis the decrease in the binding rate
coefficient ratio,
k
2
/
k
1
, with an increase in the ARC-704 concentration (in nM) in the 0-50 nM
range in solution for a dual-fractal analysis. For the data shown in
Figure 4.4d
, the binding rate
coefficient,
k
2
/
k
1
, ratio is given by:
1
:
0398
0
:
1556
k
2
=
k
1
¼ð
248
:
68
48
:
38
Þ½
ARC
704, nM
ð
4
:
5d
Þ
The fit is reasonable. Only three data points are available. The availability of more data
points would lead to a more reliable fit. The binding rate coefficient ratio,
k
2
/
k
1
, exhibits an
order of dependence close to negative first order zero (equal to
1.0398) on the ARC-704
concentration in solution in the 0-50 nM range.
Figure 4.4e
and
Tables 4.3
and
4.4
show the increase in the binding rate coefficient,
k
1
, with an
increase in the fractal dimension,
D
f1
for the ARC-704 concentration (in nM) in the 0-50 nM
range in solution for a dual-fractal analysis. For the data shown in
Figure 4.4e
, the binding rate
coefficient,
k
1
, is given by:
D
3
:
975
0
:
0741
f1
k
1
¼ð
:
:
Þ
ð
:
Þ
0
3357
0
0109
4
5e
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
1
, exhibits an order of depen-
dence close to four (equal to 3.975) on the fractal dimension,
D
f1
, for the ARC-704 concen-
tration in solution in the 0-50 nM concentration range.
Figure 4.4f
and
Tables 4.3
and
4.4
show the increase in the binding rate coefficient,
k
2
, with
an increase in the fractal dimension,
D
f2
, for the ARC-704 concentration (in nM) in the 0-50
nM range in solution for a dual-fractal analysis. For the data shown in
Figure 4.4g
, the bind-
ing rate coefficient,
k
2
, is given by:
D
7
:
838
0
:
06768
k
2
¼ð
0
:
004431
0
:
000022
Þ
ð
4
:
5f
Þ
f2
