Biomedical Engineering Reference
In-Depth Information
dimethylaminopropylacrylamide, a tertiary amine, in their sol-gel matrix to enhance the
glucose sensitivity and selectivity, and the authors point out that this is a highly selective
technique (
Tierney et al., 2008
).
Figure 6.10c
shows the binding of a 2 mM increase in glucose in phosphate-buffered saline to
a 8 mol% 3-PBA and 10 mol% DMAPAA (
N
-(3-dimethylaminopropyl)-acrylamide) hydro-
gel for continuous monitoring
in vivo
at 25
C(
Tierney et al., 2009a,b
). The response pres-
ented is normalized. A dual-fractal analysis is required to adequately describe the binding
kinetics. The values of (a) the binding rate coefficient,
k
, and the fractal dimension,
D
f
, for
a single-fractal analysis, and (b) the binding rate coefficients,
k
1
and
k
2
, and the fractal
dimensions,
D
f1
and
D
f2
, are given in
Tables 6.8
and
6.9
.
Figure 6.10d
shows the binding of a 2 mM increase in glucose in phosphate-buffered saline
to a 8 mol% 3-PBA and 10 mol% DMAPAA hydrogel for continuous monitoring
in vivo
at
31
C(
Tierney et al., 2009a,b
). The response presented is normalized. Once again, a dual-
fractal analysis is required to adequately describe the binding kinetics. The values of (a)
the binding rate coefficient,
k
, and the fractal dimension,
D
f
, for a single-fractal analysis,
and (b) the binding rate coefficients,
k
1
and
k
2
, and the fractal dimensions,
D
f1
and
D
f2
, for
a dual-fractal analysis are given in
Tables 6.8
and
6.9
.
Figure 6.10e
shows the binding of a 2 mM increase in glucose in phosphate-buffered saline to a
8 mol% 3-PBA and 10 mol% DMAPAA hydrogel for continuous monitoring
in vivo
at 37
C
(
Tierney et al., 2009a,b
). The response presented is normalized. In this case, a single-fractal
analysis is adequate to describe the binding kinetics. The values of the binding rate coefficient,
k
, and the fractal dimension,
D
f
, for a single-fractal analysis are given in
Tables 6.8
and
6.9
.
Table 6.8: Binding rate coefficients for glucose in solution to a functionalized hydrogel-optical
fiber sensor (
Tierney et al., 2009a,b
)
.
Temperature (
C)
k
k
1
k
2
25
0.0407
0.0056
0.009881
0.00026
0.5560
0.0095
31
0.1435
0.0134
0.0709
0.0055
0.6799
0.0086
37
0.1819 0.0118
na
na
Influence of temperature in the 25-37
C temperature range.
Table 6.9: Fractal dimensions for the binding of glucose in solution to a functionalized hydrogel-
optical fiber sensor (
Tierney et al., 2009a,b
)
.
Temperature (
C)
D
f
D
f1
D
f2
25
2.1412
0.1032
1.993
0.0400
2.9407
0.0470
31
2.4622
0.0859
2.2288
0.1168
2.8968
0.0676
37
2.4452 0.1238
na
na
Influence of temperature in the 25-37
C temperature range.
