Biomedical Engineering Reference
In-Depth Information
Figure 7.55
Schematic view of a tripod for functionalization of the solid surface. Fluorophore exci-
tation and emission wavelengths are slightly shifted in frequency.
where the coefficient
b
has the same dimension than the adsorption constant
k
1
(m
3
/mole/s). Displacement of antigens
A
by the targets
A
*
is then equal to the dis-
placement rate b multiply by the concentration of free targets
A
*
and immobilized
analogs
A
.
In the particular operation sequence that we have defined here, the displace-
ment equations are
d
G
1
= -
k
G -
β
c
G
-
1 1
2
1
d t
d
(7.97)
G
2
=
k c
(
G - G - G -
)
k
G
2 2
0
1
2
-
2 2
d t
To the difference to the Lotka-Volterra model, we have not introduced cross-terms
in the second equation for
A
*
because the targets are assumed to not be affected by
the analogs
A
.
The first equation can be integrated (
c
2
is assumed constant)
G
1
-
(
k
+
β
c
)
t
=
e
-
1
2
(7.98)
G
a
Figure 7.56
Principle of fluorescence quenching by FRET. Most of the fluorescent activity is
quenched by the proximity of TMR.