Biomedical Engineering Reference
In-Depth Information
Figure 7.59
Step 3: Targets displace analogs; detection is associated with the restoration of
fluorescence.
which means that
G
2
is the solution of the Langmuir equation if
A
*
was alone. It can
be shown that the solution is given by
G
k c
k c
G
2
2 2
-
(
k c
+
k
)
t
2 2
a
-
k t
-
(
k c
+
k
)
t
(1
)
(
)
=
-
e
2 2
-
2
+
e
-
1
-
e
2 2
-
2
G
k c
+
k
k
-
(
k c
+
k
)
G
0
2 2
-
2
-
1
2 2
-
2
0
(7.100)
*
2
0
The first term is the term
G
G
and the second term (always negative) is a correction
taking into account the occupation of surface sites by the analogs
A
. Note that the
asymptotic value of G
2
is
G
k c
2
2 2
t
® ¥ =
G
k c
+
k
0
2 2
-
2
Figure 7.60
Step 4: Regeneration of the functionalized surface. Fluorescence activity is quenched
once more time.
