To select an appropriate combination of PEG and DEX for cell patterning it is important to determine the binodal curve. This curve delineates the points at which an ATPS can form and can vary for a given set of polymers based on temperature, pH and ionic content. For culturing cells that require customized medium formulations it may be necessary to experimentally determine the binodal curve. This is accomplished by generating a series of ATPSs that are far from the binodal and varying in their PEG and DEX contents (Figure 1, purple circles). When an ATPS is present, the polymer solutions will appear cloudy when mixed and will equilibrate into separate phases if left undisturbed. By adding additional solvent to the polymer mixture, the ATPS will approach 0% PEG/0% DEX. At some point, the mixture will no longer phase separate. The PEG/DEX concentration at which this occurs represents a point on the binodal curve; above that point an ATPS can form and below that point it cannot. The curves in Figure 1 represent binodals for three common cell culture media with and without 10% fetal bovine serum (FBS). The concentrations at which an ATPS is formed are slightly higher in the presence of FBS.
In our previous reports, we used ATPSs based on a critical point (the point on the binodal at which equal volumes of PEG and DEX form after equilibration) of 2.5% PEG 35 kDa/3.2% DEX 500 kDa. The results from our binodal data are in close proximity to this critical point value. We tested nine phase system combinations for patterning, as shown in Table 1. Since pure solutions of PEG and DEX equilibrate with respect to their polymer concentrations after they are combined, some of these solutions did not form stable ATPSs, and were therefore not useful for patterning (Table 1a, x marks). Other polymer combinations produced recognizable patterns, but were not uniform enough for experimentation (Table 1a x/✓ marks). Useful polymer formulations formed exclusion zones or islands that were nearly devoid of cells in the non-patterned regions (Table 1a, ✓ marks).
With 10% PEG, we noticed that cell morphology was abnormally round and spindle-like after 24 hr, with cells displaying a diminished ability to attach to the culture surface (Table 1b, x marks). Morphology and attachment were normal for 2.5% and 5% PEG (Table 1b, ✓ marks). We observed that serum precipitated from the culture medium at high PEG concentrations (Table 1c, x marks), suggesting that abnormal cell morphology and attachment in 10% PEG may be related to problems with serum access. Additionally, PEG is known to disrupt plasma membranes 27. Although these effects are only observed at high concentrations of low molecular weight PEG, it is best to use the lowest PEG concentration that produces reliable patterning.
Consistent with our previous reports, we concluded that 5% PEG/6.4% DEX and 5% PEG/12.8% DEX were well suited for cell patterning, with 12.8% DEX producing more uniform patterns. Expected results for three patterning formats using Cell Tracker-labeled HeLa cells are shown in Figure 2. By following each patterning approach, it is possible to create uniform patterns of each type, with very few cells outside of the patterned areas.
Using exclusion and island patterning it is possible to assess the proliferation and migration of patterned cells (Figure 3). Over the course of three days, HeLa cells filled the exclusion zones (Figures 3a-c). Island-patterned cells expanded outward from the initial patterns (Figures 3d-f). These changes can be quantified using standard imageJ measurement tools (Figures 3 c,f). It is important to note that when multiple cell populations are co-cultured (Figure 2, Format 3), one cell population may out-proliferate and replace the other. Exclusion patterning and island patterning can be useful tools to assess if this will be a problem. In situations where dramatic differences in proliferation index occur, it is recommended that one cell population be treated by irradiation or chemical factors to limit its proliferation. This is particular useful in situations where one cell type is used as a support cell for a slower growing more sensitive cell type.
We demonstrated this principle by culturing HepG2 cells, a hepatocellular carcinoma cell line that is commonly used to model hepatocyte biology, with NIH 3T3 fibroblast that were arrested using mitomycin C (Figure 4). Over time, the HepG2 cells maintain their localization and colony shape (Figure 4a). By placing many droplets in the same plate and surrounding them with fibroblasts it is possible to grow these cells in a format that is potentially useful for multiplexed studies (Figure 4b). Cell island monocultures can be used with this format as a control for the influence of paracrine factors (Figure 4c).

Figure 1. The polymer concentrations at which an ATPS can form can be extrapolated from experimentally determined binodal curves. This binodal curve was constructed using the cloud point method by adding additional solvent to measure the points at which two-phase mixtures of varying PEG/DEX concentrations (purple circles) no longer were capable of phase separating. Binodals were determined for DMEM, F12 and RPMI with and without serum. Data points were fitted with a three parameter rational function. N=3 for each data point.

Figure 2. By dispensing ATPS solutions onto polystyrene plates, three formats for cell patterning can be produced. The procedure begins by pipetting DEX droplets a) that are then coated with PEG b). Once the cells attach, the ATPS solutions can be washed away and replaced with culture medium (c, d). Fluorescence images for monocultures were stained with CellTracker dyes after patterning. For co-cultures, cells were stained separately with CellTracker dyes before patterning. HeLa cells were used to generate all three culture formats.

Figure 3. Exclusion patterning and island patterning can be used to assess cell migration and proliferation. a) Exclusion patterned HeLa cells 1 day after patterning. b) Exclusion patterned HeLa cells 3 days after patterning. c) Cells proliferate and migrate, significantly reducing the size of the exclusion zone. d) Island-patterned HeLa cells 1 day after patterning. e) Island-patterned HeLa cells 3 days after patterning. f) Cells proliferate and migrate outwards, significantly expanding the size of the island. Images were quantified using ImageJ software to measure the cell clearing and cell island areas before and after migration. Bars represent mean ± SEM of at least three independent observations.

Figure 4. Liver cell/fibroblast cultures can be generated using ATPS exclusion co-culture patterning. a) These colonies maintain their organization for at least 4 days in culture. b) Multiple islands can be arrayed in a single dish with potential for multiplexed or high-throughput assays. c) Compared to non-co-cultured island patterns, the co-cultured cells display slightly higher levels of albumin production (brown staining) as evident from qualitative comparison of albumin stained co-cultures versus monocultures. Albumin is a protein produced by liver cells. Therefore, this result suggests that the function of liver cells is enhanced when co-cultured with fibroblast using ATPS.
| a) Pattern Formed | DEX 3.2% | DEX 6.4% | DEX 12.8% |
| PEG 2.5% | x | x | x |
| PEG 5.0% | x/✓ | ✓ | ✓ |
| PEG 10.0% | x/✓ | ✓ | ✓ |
| b) Morphology | DEX 3.2% | DEX 6.4% | DEX 12.8% |
| PEG 2.5% | ✓ | ✓ | ✓ |
| PEG 5.0% | ✓ | ✓ | ✓ |
| PEG 10.0% | x | x | x |
| c) Serum Precipitation | DEX 3.2% | DEX 6.4% | DEX 12.8% |
| PEG 2.5% | ✓ | ✓ | ✓ |
| PEG 5.0% | ✓ | ✓ | ✓ |
| PEG 10.0% | x | x | x |
Table 1. a) ATPS formulations that can be used for patterning are indicated by check marks, those that cannot are indicated by x marks. b) Formulations that retain normal cell morphology and attachment properties are indicated by check marks, those that cannot are indicated by x marks. c) Formulations that resulted in precipitation of serum proteins are indicated by x marks.