Biomedical Engineering Reference
In-Depth Information
6
6
4
4
2
2
0
0
0
200
400
600
800
1000
1200
200
400
600
800
1000
1200
0
A
B
Time (s)
Time (s)
4
3
2
1
0
0
200
400
600
800
1000
1200
C
Time (s)
Figure 9.3
Binding and dissociation of DMR signals mediated by different bradykinin concentrations (in nM)
in solution (Fang et al., 2006): (a) 128 (b) 64 (c) 32 (d) 16. 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.
Figure 9.3b shows the binding and the dissociation of 64 nM Bradykinin in solution to the
internalized receptor immobilized on a RWG biosensor surface. A dual-fractal analysis is
once again required to adequately describe the binding and the dissociation kinetics. The
values of (a) the binding rate coefficient, k , and the fractal dimension, D f , for a 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, (c) the dissociation rate coefficient, k d , and the fractal dimension
for the dissociation phase, D fd , for a single-fractal analysis and (d) the dissociation rate
coefficients, k d1 and k d2 , and the fractal dimensions, D fd1 and D fd2 , for a dual-fractal analysis
are given in Tables 9.3 and 9.4 .
It is of interest to note that for a dual-fractal analysis as the fractal dimension increases by a
factor of 2.15 from a value of D f1 equal to 0.992 to D f2 equal to 2.1368, the binding rate coef-
ficient increases by a factor of 1.75 from a value of k 1 equal to 0.1757 to k 2 equal to 0.3078.
An increase in the degree of heterogeneity or the fractal dimension on the RWG biosensor
surface, once again, leads to an increase in the binding rate coefficient.
Search WWH ::




Custom Search