Biomedical Engineering Reference
In-Depth Information
The fit is very good. Only three data points are available. The availability of more data points
would lead to a more reliable fit. The fractal dimension,
D
f1
, exhibits only a very slight
(equal to 0.240) order of dependence on the stimulation frequency in Hz in the 40-160 Hz
range.
Figure 9.8d
and
Table 9.7
show the increase in the binding rate coefficient,
k
1
, with an
increase in the fractal dimension,
D
f1
, for a dual-fractal analysis. For the data shown in
Figure 9.8d
and in the 40-160 Hz range, the binding rate coefficient,
k
1
, is given by:
4
:
78
0
:
142
k
1
¼ð
:
:
Þ½
D
f1
ð
:
Þ
1
047
0
036
9
5d
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,
k
1
, exhibits a very
strong order of dependence on the fractal dimension,
D
f
in the 40-160 Hz range.
Figure 9.8e
and
Table 9.7
show the increase in the binding rate coefficient,
k
2
, with an
increase in the fractal dimension,
D
f2
, for a dual-fractal analysis. For the data shown in
Figure 9.8d
and in the 40-160 Hz range, the binding rate coefficient,
k
2
, is given by:
5
:
442
4
:
548
k
2
¼ð
0
:
1140
0
:
1555
Þ½
D
f2
ð
9
:
5e
Þ
There is scatter in the data. This is reflected in the error in the values of the rate coefficients
exhibited. 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
, is very sensitive to the degree
of heterogeneity that exists on the FRET-based calcium sensor surface as noted by the order
of dependence between five and five and a half exhibited.
Figure 9.8f
and
Table 9.9
show the increase in the dissociation rate coefficient,
k
d
, with an
increase in the stimulation frequency, in Hz for a single-fractal analysis. For the data shown
in
Figure 9.8f
, the dissociation rate coefficient,
k
d
, is given by:
1
:
310
0
:
141
k
d
¼ð
0
:
0979
0
:
0146
Þ½
Hz
ð
9
:
5f
Þ
The fit is very good. Only three 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 depen-
dence between first and one and a half (equal to 1.310) on the stimulation frequency, in Hz.
Figure 9.8g
and
Tables 9.9
and
9.10
show the decrease 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 9.8g
, the affinity,
K
1
, is given by:
¼
Þ
0
:
473
0
:
253
K
1
ð¼
k
1
=
k
d
Þ¼ð
0
:
845
0
:
069
Þ
ð
D
f1
=
D
fd
ð
9
:
5g
Þ
