Biomedical Engineering Reference
In-Depth Information
The fit is very good. Only three data points are available. The availability more data points
would lead to a more reliable fit. The affinity,
K
1
, exhibits slightly higher than first (equal
to 1.17) order of dependence on the Con A concentration in solution in the 1-5 nM range.
The fractional order of dependence exhibited on the Con A concentration in solution lends
support to the fractal nature of the system.
Figure 12.10l
shows the increase in the affinity,
K
1
(
k
2
/
k
d
), with an increase in the Con A
concentration in solution in the 1-5 nM range for a dual-fractal analysis. For the data shown
in
Figure 12.10l
, the ratio of the affinity,
K
1
, is given by:
¼
0
:
1694
0
:
01513
K
1
¼ð
7
:
572
0
:
311
Þ½
Con A
ð
12
:
5l
Þ
The fit is very good. Only three data points are available. The availability more data points
would lead to a more reliable fit. The affinity,
K
1
, exhibits a very low (equal to 0.1694) order
of dependence on the Con A concentration in solution in the 1-5 nM range. The fractional
order of dependence exhibited on the Con A concentration in solution lends support to the
fractal nature of the system.
Figure 12.10m
shows the increase in the affinity,
K
2
(
k
2
/
k
d
), with an increase in the Con A
concentration in solution in the 1-5 nM range for a dual-fractal analysis. For the data shown
in
Figure 12.10m
, the ratio of the affinity,
K
2
, is given by:
¼
0
:
229
0
:
0814
K
2
¼ð
19
:
99
6
:
07
Þ½
Con A
ð
12
:
5m
Þ
The fit is good. Only three data points are available. The availability more data points would
lead to a more reliable fit. The affinity,
K
2
, exhibits only a slight (equal to 0.229) order of
dependence on the Con A concentration in solution in the 1-5 nM range. The fractional order
of dependence exhibited on the Con A concentration in solution lends support to the fractal
nature of the system.
Figure 12.10n
shows the increase in the affinity,
K
2
(
¼
k
2
/
k
d
), with an increase in the ratio of
the fractal dimensions,
D
f2
/
D
fd
,
for a dual-fractal analysis. For
the data shown in
Figure 12.10n
, the ratio of the affinity,
K
2
, is given by:
:
þ
:
2
35
5
40
K
2
¼ð
8
:
79
7
:
52
Þ½
D
f2
=
D
fd
ð
12
:
5n
Þ
The fit is poor. Only three data points are available. The availability of more data points
would lead to a more reliable fit. The poor fit is reflected in the data, and also in the
order of dependence exhibited. Only the positive error in the order is given. The affinity,
K
2
, exhibits an order of dependence between two and two and a half (equal to 2.35) on
the ratio of
the fractal dimensions,
D
f2
/
D
fd
;
the error
in the order of dependence
notwithstanding.
