Biomedical Engineering Reference
In-Depth Information
Figure 7.57
Step 1: Functionalization of the surface with tripodes.
where G
a
is the initial surface concentration of immobilized analogs. Under the
form (7.98), the model shows that desorption of analogs
A
under the action of
competition of the targets
A
*
is faster than if the analogs were alone.
We are then left with one differential equation for the kinetics of adsorption of
the targets
d
G
2
-
(
k
+
β
c
)
=
k c
(
G - G
e
t
- G -
)
k
G
(7.99)
-
1
2
2 2
0
a
2
-
2 2
d t
Equation (7.99) can be integrated under a closed form, using some algebraic devel-
opments. The method consists in writing
*
G = G +
ε
2
2
where
G
2
is the solution of the equation
*
2
d
G
*
*
=
k c
(
G - G -
)
k
G
2 2
0
2
-
2 2
d t
Figure 7.58
Step 2: Quenching by FRET of the fluorescence.
