Biomedical Engineering Reference
In-Depth Information
∞
∑
2
πη
m
b
(
)
=
(
)
22
−
FZ
η
,
16
NQb
π
K
cos
2
π
mZ
/
b
],
,
(6.102)
1
=
135
m
,, ...
suggests that even one term series solution gives rise to a possible solution, namely:
2
πη
(
)
=
(
)
22
−
(6.103)
FZ
η
,
16
NQbK
b
π
cos
2
π
Zb
/
],
1
1
Equation (6.103) clearly implies that one possible force configuration is when a
few fixed ions are located at the ends of the strip with the mobile ions located in the
middle, as shown in figure 6.23 (before actuation) and figure 6.24 (after actuation).
Clearly, the situation shown in figure 6.21 can be generalized to produce local
bending towards, say, the anode, as shown in figure 6.22. Thus, the solution for the
force field given by equation (6.102) is quite capable of creating a bending or a
series of bendings in the gel in the presence of an electric field gradient. Furthermore,
FIGURE 6.22
Nonuniform distribution of Coulomb's forces along the gel axis.
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
+Ve
on
FIGURE 6.23
The simplest solution for a configuration with a few cations before activation.
