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a
b
1
2
3
1
2
3
4
5
6
1
7
12
3
9
10
6
2
11
9
1
8
10
10
9
8
8
3
9
1
2
3
1
2
3
4
5
6
1
7
10
11
4
8
7
2
1
3
4
5
2
Fig. 6.17 Pin-assignment configuration for the unit cell of the commercial biochip for PCR
bioassay: ( a ) derived by synthesis result of bioassay [ 13 ]; ( b ) derived by the proposed heuristic
algorithm
Tabl e 6. 2 Comparison of the numbers of control pins and CPU time for the
existing design of the fabricated commercial biochip in [ 2 , 13 ], the results
derived by bioassay-specific algorithm in [ 13 ], and the results derived by the
proposed heuristic method
No. pins
(fabricated
chip [ 13 ])
No. pins
(bioassay-specific
method [ 13 ])
No. pins
(proposed heuristic
method)
Routing region
7
6
6
Reaction region
14
10
14
Detection region
11
8
10
Total No. of pins
32
24
30
CPU time
NA
320 min [ 19 ]
3.5 s
6.7.1.2
Commercial Biochip for PCR Bioassay
We next apply the proposed algorithm to the commercial biochip for PCR bioas-
say [ 13 , 19 ]. The chip consists of more than 1000 electrodes [ 13 , 19 ]. The layout
for the complete chip and the existing pin assignment in the fabricated biochip (14
pins) can be found in [ 13 , 19 ]. Pin-assignment configurations for the unit cell of the
biochip derived by bioassay-specific algorithm is shown in Fig. 6.17 a[ 13 ], and the
layout derived by the proposed algorithm is shown in Fig. 6.17 b.
Tab le 6.2 compares the number of control pins in the existing design for the
fabricated commercial biochip [ 13 ], the number of pins derived by bioassay-specific
algorithm in [ 13 ], and the number of pins derived by the proposed heuristic method.
Similar with the results of n-plex immunoassay chip, the CPU time of the proposed
heuristic algorithm is 3.5 s, while the CPU time needed for generating the pin
assignment in [ 19 ] is 320 min.
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