Biomedical Engineering Reference
In-Depth Information
TAble 3.5
Droplet-Manipulation Results for Grouping-Based Method with
Scheduling of Droplet Routes
Manipulation
<D
1
, D
2
, D
3
, D
4
, D
5
>
Manipulation
<D
1
, D
2
, D
3
, D
4
, D
5
>
Cycle Number
Cycle Number
1
<x, x, x, ↓, x>
18
<↓, x, x, ↓, x>
2
<x, x, x, ↓, x>
19
<↓, x, ↑, ↓, x>
3
<←, x, ↑, ←, x>
20
<x, x, ↑, x, x>
4
<←, x, x, ←, x>
21
<x, x, ↑, x, x>
5
<←, x, x, ←, x>
22
<x, x, ↑, x, x>
6
<←, x, x, ←, x>
23
<x, x, ↑, x, x>
7
<←, x, x, ←, ←>
24
<x, x, ↑, x, x>
8
<←, ←, x, ←, ←>
25
<x, x, ↑, x, x>
9
<←, ←, x, ←, ←>
26
<x, x, ↑, x, x>
10
<←, ←, x, ←, x>
27
<x, x, ↑, x, x>
11
<←, ←, x, x, x>
28
<x, x, ↑, x, x>
12
<←, ←, x, x, x>
29
<x, x, ↑, x, x>
13
<x, x, x, ↓, x>
30
<x, x, ↑, x, x>
14
31
<x, ↑, x, ↓, x>
<x, x, ↑, x, x>
15
32
<x, x, x, ↓, x>
<x, x, ↑, x, x>
16
33
<x, x, x, ↓, x>
<x, x, ←, x, x>
17
34
<x, x, x, ↓, x>
<x, x, ←, x, x>
method (34 cycles versus 17 cycles). However, the proposed method requires
only 32 (16 + 16) control pins, while 256 (16 × 16) pins are required for the
direct-addressing method.
The previous comparison is then carried out for the rest of the subprob-
lems. The results are shown in Figure 3.28. Note that some subproblems, for
example, #4, #6, #8, #9, #10, and #11, contain only one droplet pathway. For
these subproblems, the three methods result in the same number of cycles.
Therefore, results for these subproblems are not shown explicitly. Results for
subproblem 7 are also not shown since the two routing pathways in it have
no overlap in any columns or rows; therefore, no concurrent droplet move-
ment is possible.
As we can see from Figure 3.28, the proposed grouping-based manipula-
tion method always achieves improved concurrency over the one-at-a-time
droplet-manipulation method. This improvement is significantly enhanced
when the proposed route-scheduling algorithm is applied.
The percentage improvement varies with the subproblem, as shown in
Figure 3.28. For the entire assay, the proposed route-scheduling algorithm
leads to a 47% reduction in the number of droplet-manipulation cycles com-
pared to the one-at-a-time droplet-manipulation method, and 32% compared
to the grouping-based algorithm alone.
