Biomedical Engineering Reference
In-Depth Information
It is of interest to note that for a dual-fractal analysis as the fractal dimension increases by a
factor of 1.809 from a value of
D
f1
equal to 1.2476 to
D
f2
equal to 2.2580, the binding rate coef-
ficient increases by a factor of 7.85 from a value of
k
1
equal to 0.00952 to
k
2
equal to 0.0747.
Also, as the fractal dimension in the dissociation phase increases by a factor of 2.80 from a
value of
D
fd1
equal to 0.9608 to
D
fd2
equal to 2.6938 the dissociation rate coefficient increases
by a factor of 158.5 from a value
k
d1
equal to 0.000471 to
k
d2
equal to 0.07464.
Figure 9.1c
shows the binding and dissociation of 32 nM bradykinin concentration in solution
to the bradykinin B
2
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,
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 9.1
and
9.2
.
It is of interest to note that for a dual-fractal analysis as the fractal dimension increases by a
factor of 2.29 from a value of
D
f1
equal to 0.9808 to
D
f2
equal to 2.2454, the binding rate
coefficient increases by a factor of 35.92 from a value of
k
1
equal to 0.002564 to
k
2
equal
to 0.0921. Also, as the fractal dimension in the dissociation phase increases by a factor of
100 from a value of
D
fd1
equal to 0.030 to
D
fd2
equal to 3.0, the dissociation rate coefficient
increases by a factor of 16744 from a value
k
d1
equal to 4.3
10
6
to
k
d2
equal to 0.72.
Figure 9.1d
shows the binding and dissociation of 16 nM bradykinin concentration in solution
to the bradykinin B
2
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,
D
fd
,
for a single-fractal analysis, and (d) the dissociation rate coefficients,
k
d1
and
k
d2
, and the frac-
tal dimensions,
D
fd1
and
D
fd2
, for a dual-fractal analysis are given in
Tables 9.1
and
9.2
.
It is of interest to note that for a dual-fractal analysis as the fractal dimension increases by a factor
of 1.814 from a value of
D
f1
equal to 1.2346 to
D
f2
equal to 2.2400, the binding rate coefficient
increases by a factor of 13.12 from a value of
k
1
equal to 0.002239 to
k
2
equal to 0.02938.
Figure 9.1e
shows the binding and dissociation of 8 nM bradykinin concentration in solution
to the bradykinin B
2
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, and (c) the dissociation rate coefficient,
k
d
, and the fractal dimension,
D
fd
, for a single-fractal analysis are given in
Tables 9.1
and
9.2
.
