Biomedical Engineering Reference
In-Depth Information
14
12
10
8
6
4
2
0
1000
2000
3000
Time (s)
4000
5000
6000
7000
0
Figure 12.4
Binding and dissociation of 51 nM human IgG dosed on a protein A-coated porous SiO 2 surface
( Schwartz et al., 2007 ). 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.
single-fractal analysis, (b) the binding rate coefficients, k 1 and k 2 , and the fractal dimensions,
D f1 and D f2 , for a dual-fractal analysis, and (c) the dissociation rate coefficient, k d , and the frac-
tal dimension in the dissociation phase, D fd for a single-fractal analysis are given in Table 12.2 .
It is of interest to note that as the fractal dimension increases by a factor of 1.639 fromvalue of D f1
equal to 1.7524 to D f2 equal to 2.874, the binding rate coefficient increases by a factor of 20.25
from a value of k 1 equal to 0.09222 to k 2 equal to 5.7354. The changes in the degree of heteroge-
neity on the sensing surface and in the binding rate coefficient are in the same direction.
Figure 12.5 shows the binding and the dissociation of human 171 nM IgG solution dosed on a
protein A-coated porous SiO 2 surface ( Schwartz et al., 2007 ). A single-fractal analysis is ade-
quate to describe the binding and the dissociation kinetics. The values of (a) the binding rate
20
15
10
5
0
0
1000
2000
Time (s)
3000
4000
Figure 12.5
Binding and dissociation of 171 nM human IgG solution dosed on a protein A-coated porous SiO 2
surface ( Schwartz et al., 2007 ). 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
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