Biomedical Engineering Reference
In-Depth Information
Figure 7.53
Displacement of the analogs by the targets.
Still there is no competition between the two species in system (7.95). Now let us
introduce a competition term by similarity with the Lotka-Volterra equations. By
analogy, it can be assumed that the target
A
*
is the predator and the analog
A
the
prey. A competition term is then introduced in the equations to indicate that there
is a competition between
A
*
and
A
. The system (7.94) becomes
d
G
1
=
k c
(
G - G - G -
)
k
G -
β
c
G
1 1
0
1
2
-
1 1
2
1
d t
(7.96)
d
G
2
=
k c
(
G - G - G -
)
k
G
2 2
0
1
2
-
2 2
d t
Figure 7.54
Detection either by decrease in the fluorescence of the capture surface, either by the
increase of fluorescence at the channel outlet.
