Biomedical Engineering Reference
In-Depth Information
TAble 6.2
Stock Solutions Needed to Prepare the Target Solutions in Table 6.1
S1
Sodium chloride
1 M
S10
Polyethylene glycol 400
36% v/v
S2
Sodium acetate trihydrate
1 M
S11
Ammonium dihydrogen
phosphate
10 M
S3
2-Methyl-2,4-pentanediol
(MPD)
120% v/v
S12
Lithium sulfate
monohydrate
1 M
S4
Zinc acetate dihydrate
1 M
S13
Polyethylene glycol 6000
120% w/v
S5
Polyethylene glycol 4000
20% w/v
S14
Tri-sodium citrate
dihydrate
1 M
S6
Ammonium sulfate
2 M
S15
ADA
1 M
S7
Iso-propanol (IPA)
100% v/v
S16
Ammonium sulfate
10 M
S8
Magnesium sulfate
heptahydrate
10 M
S17
Di-ammonium
hydrogen phosphate
10 M
S9
Magnesium chloride
hexahydrate
1 M
TAble 6.3
Target Solutions Containing Reagent Polyethylene Glycol 4000
Reagent
Concentration
Condition ID
Reagent_ID
No. of Droplets
a
MembFac_02
Polyethylene glycol 4000
12% w/v
6
MembFac_03
Polyethylene glycol 4000
10% w/v
5
MembFac_05
Polyethylene glycol 4000
12% w/v
6
MembFac_13
Polyethylene glycol 4000
12% w/v
5
MembFac_17
Polyethylene glycol 4000
12% w/v
5
MembFac_23
Polyethylene glycol 4000
12% w/v
6
a
Number of droplets routed from the stock solution to the mixing reservoir.
are six target solutions that contain this reagent, that is,
MembFac_02
and
MembFac_03
,
MembFac_05
,
MembFac_13
,
MembFac_17
, and
MembFac_ 23
, as
listed in Table 6.3. The concentrations of the reagent
polyethylene glycol 4000
in these target solutions are 12% w/v, 10% w/v, 12 % w/v, 12% w/v, 12 % w/v,
and 12% w/v, respectively.
Recall that, in the previous subsection, we have shown that these concen-
trations must be multiples of the modulation resolution, that is, the module
resolution must be a common factor of these concentrations.
In our algorithm, we pick the great common divisor (GCD) of these concen-
trations as the modulation resolution. This is because a smaller modulation
resolution indicates more droplets need to be routed into the mixing reser-
voir to obtain the target concentration. As a result, more droplet manipulation
steps are needed.
In this example, the modulation resolution = GCD(12, 10, 12, 12, 12, 12)
= 2% w/v. Assuming that the volume of a unit droplet is 20 nL, and the
