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In the event of collision - which implies a droplet reaching the critical
zone of another at the same timestamp - the net with higher preference is
allowed to move and the other is stalled till the path is clear to route.
Compute the arrival time for each droplet - mark the maximum of all
arrival times as the latest arrival time T
iR
indicating the overall route time
occupied between levels (i-1) and i.
10. next i.
11. It has been found that the total route time for bioassay execution is very small as
compared with the completion times of other microfluidic operations. In
experimental results obtained from [9 ] it has been found that time required to
route the droplet through one cell is 0.01 s.
6
A Real Time Application and Experimental Results
The
in-vitro
measurement for glucose and other metabolites, such as lactate,
glutamate and pyruvate, in human physiological fluids is of great importance in
clinical diagnosis of metabolic disorders.
The behavioural description of an example
of a multiplexed
invitro
diagnostics is shown in Figure 6. Four types of human
physiological fluid - e.g. plasma, serum, urine and salvir are sampled
and dispensed
into the microfluidic biochip. Next each type of
physiological fluid is assayed for
glucose, lactate, pyruvate or
glutamate measurement. The result of the biomedical
assay is detected by an integrated optical absorbance measurement device.[31]. The
tests are denoted as Assay1 for Glucose, Assay2 for Lactate, Assay3 for Pyruvate and
Assay4 for Glutamate.
We start with a sequencing graph of one instance of In vitro model involving Three
samples (m=3) and Three reagents (n=3) with a module library given in table 2.The
sequencing graph is shown in figure 7 a). The number of Input operations are = 2 x m
x n = 18 and number of levels k = 4.The number of reconfigurable operations (only
mixing) = m x n = 9 that requires three types of mixers M1,M2 and M3. The number
of non reconfigurable operations (detection) = m x n = 9 and three types of detectors
namely D1, D2 and D3 are used. So we first assigned the non reconfigurable modules
into three fixed blocks with segregation region to be used sequentially for each types
of assay operation. Hence each detector is scheduled for three assay operations.
(Figure 7 b). We schedule to place the non reconfigurable modules to be employed for
sequential application and assign a centralized location within the 2D planar array.
The dimension of the array is determined to be 18 x 18 for 2 x m x n = 18 samples.
Figure 8 a) reorients the graph with fixed modules being aligned at centralized
locations. Figure 8 b) assigns zones for the reoriented graph. Figure 8 d) forms the
planar triangular graph and the rectangular dualization results are shown in figure 8
e).The corresponding zone placement in 2D array is shown in figure 9 a) .figure 9 b)
shows the actual resource assignment in terms of samples and reagents at level 1 and
non reconfigurable detectors as D1,D2 and D3 as fixed modules. Finally figure 10 a)
shows the actual route performance with the overall scheduling results being shown in
figure 10 b).Overall execution time for the bioassay is 21.17 seconds - the route time
- 0.21 sec and assay operation time - 21 sec.(we assume route time of 0.01 sec for
route through one cell).
