Biomedical Engineering Reference
In-Depth Information
Table 10.10: Binding and dissociation rate coefficients for different methanol concentrations to a
polyimide thin layer biosensor ( Manera et al., 2006 ).
Methanol
Concentration
(ppm)
k
k 1
k 2
k d
3320
0.004354
0.000648
na
na
0.006427
0.000327
3320
0.001535
0.000131
na
na
0.01363
0.00133
4980
0.02389
0.00117
na
na
0.005807
0.000173
4980
0.007511
0.0014
0.005371
0.00132 0.01690
0.00023 0.007229
0.000492
Table 10.11: Fractal dimensions for the binding and dissociation phase for different methanol
concentrations to a polyimide thin layer biosensor ( Manera et al., 2006 ).
Methanol
Concentration
(ppm)
D f
D f1
D f2
D fd
3320
2.3352 0.1164
na
na
2.4418 0.09514
3320
1.6418 0.08864
na
na
2.7084 0.1336
4980
2.6894 0.05266
na
na
2.1872 0.05014
4980
2.3242
0.1596
1.7776
0.4490
0.01690
0.00023 2.9855
0.05412
Figure 10.15b shows a repeatability run. In other words, it shows the binding and dissociation
of 3320 ppm methanol in air (once again) to a polyimide thin layer biosensor ( Manera et al.,
2007 ). Once again, a single-fractal analysis is required to adequately describe the binding and
dissociation kinetics. The values of (a) the binding rate coefficient, k , and the fractal dimen-
sion, D f , for a single-fractal analysis, and (b) the dissociation rate coefficient, k d , and the frac-
tal dimension for the dissociation phase, D fd , are given in Tables 10.10 and 10.11 . In this
case, the affinity, K (
¼
k / k d ) value is 0.113.
The affinity, K values for the two repeatability runs are very different, 0.677 and 0.113,
respectively. They differ by a factor of 6.0. As expected, and in accord with the affinity
values, the dissociation rate coefficient values (0.004351; 0.00154) for the first and the
repeatability runs are also different. They are presented in brackets above.
Figure 10.16a shows the binding and dissociation of 4980 ppm methanol in air to a polyimide
thin layer biosensor ( Manera et al., 2007 ). A single-fractal analysis is adequate to describe
the binding and dissociation kinetics. The values of (a) the binding rate coefficient, k , and
the fractal dimension, D f , for a single-fractal analysis, and (b) the dissociation rate coeffi-
cient, k d , and the fractal dimension for the dissociation phase, D fd , are given in Tables 10.10
and 10.11 . In this case the affinity, K ( ¼
k / k d ) is equal to 4.11.
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