Biomedical Engineering Reference
In-Depth Information
the bio-MEMS based cell-chip.
Figure 14.1a
shows the dose-dependent response of the
immobilized cells to 0.67 mM phenol in solution. A dual-fractal analysis is required to ade-
quately 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
Table 14.1
. Corel Quattro Pro 8.0 (1997) was used to fit the data. The Corel Quattro Pro
8.0 program provided the parameter values presented in
Table 14.1
. The values of the
parameters presented in
Table 14.1
are within 95% confidence limits. For example, for a
dual-fractal analysis, the value of the binding rate coefficient,
k
1
, for 0.67 mM phenol in solu-
tion is 16.64
0.3246. The 95% confidence limit indicates that the
k
1
value lies between
16.315 and 16.96. This indicates that the values are precise and significant.
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0
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A
B
Time (min)
Time (min)
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0
0
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Time (min)
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C
Figure 14.1
Binding (dose-response) of different concentrations (in mM) of phenol in solution to cells
immobilized on a bio-MEMS based cell-chip (
Yoo et al., 2007
): (a) 0.67, (b) 1.33, (c) 2.66,
(d) 5.32. When only a solid line (--) is used then a single-fractal analysis applies. When both
a dashed (- - -) and a solid (--) line are used then the dashed line represents a single-fractal
analysis and the solid line represents a dual-fractal analysis, and the dashed line represents
the single-fractal analysis. In both cases, the solid line is the best fit line.
