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.
 
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