Abstract
Contact-inhibition of proliferation constrains epithelial tissue growth, and the loss of contact-inhibition is a hallmark of cancer cells. In most physiological scenarios, cell–cell contact inhibits proliferation in the presence of other growth-promoting cues, such as soluble growth factors (GFs). How cells quantitatively reconcile the opposing effects of cell–cell contact and GFs, such as epidermal growth factor (EGF), remains unclear. Here, using quantitative analysis of single cells within multicellular clusters, we show that contact is not a “master switch” that overrides EGF. Only when EGF recedes below a threshold level, contact inhibits proliferation, causing spatial patterns in cell cycle activity within epithelial cell clusters. Furthermore, we demonstrate that the onset of contact-inhibition and the timing of spatial patterns in proliferation may be reengineered. Using micropatterned surfaces to amplify cell–cell interactions, we induce contact-inhibition at a higher threshold level of EGF. Using a complementary molecular genetics approach to enhance cell–cell interactions by overexpressing E-cadherin also increases the threshold level of EGF at which contact-inhibition is triggered. These results lead us to propose a state diagram in which epithelial cells transition from a contact-uninhibited state to a contact-inhibited state at a critical threshold level of EGF, a property that may be tuned by modulating the extent of cell–cell contacts. This quantitative model of contact-inhibition has direct implications for how tissue size may be determined and deregulated during development and tumor formation, respectively, and provides design principles for engineering epithelial tissue growth in applications such as tissue engineering.
Keywords: cancer, contact inhibition, development, proliferation, tissue engineering
Contact-inhibition of proliferation is a key constraint on the growth of epithelial tissues. The loss of contact-inhibition is a hallmark of cancer cells, leading to hyperproliferation of epithelial cells and tumor formation (1). In physiological scenarios, cell–cell contact inhibits proliferation in the presence of other growth-promoting environmental cues, such as soluble growth factors (GFs). However, how cells quantitatively reconcile these conflicting cues to make a “net decision” on cell cycle commitment remains unclear. Does cell–cell contact act as a potent switch that supercedes the stimulatory effect of GFs? Or, is there a quantitative titration between the extent of cell–cell contact and the amount of GFs that ultimately determines cell cycle activity?
Whether cells evaluate contact and GFs in a binary or graded manner has important implications for our understanding of cancer progression. Cancers develop through multiple molecular “hits.” Each hit may modify how cells weigh the opposing effects of contact and GFs. Thus, the loss of contact-inhibition may occur progressively with gradations of deregulation building up over the course of oncogenesis. Whether the loss of contact-inhibition should be viewed from this quantitative perspective or from the more classical binary viewpoint remains unclear because the quantitative interplay between contact and GFs in regulating cell cycle activity remains to be elucidated.
A principal challenge to gauging the quantitative cross-talk between contact and GFs is that the underlying mechanisms are arranged into a complex physiochemical network. The cadherin family of transmembrane cell surface proteins plays a critical role (2). Both ectopic expression of cadherins and exposure to beads coated with cadherins arrest cell cycle activity (3–8). Cadherins in association with other membrane proteins, such as Merlin, bind and regulate the trafficking of growth factor receptors (9–12). In addition, cadherins regulate contact-inhibition through mechanotransduction pathways. Cadherin-mediated contacts are coupled to the actin cytoskeleton (2, 13) and alter the distribution of traction forces between the cell and the substratum. Thus, in the interior of multicellular clusters where cell–cell contacts are abundant, the traction forces are minimal, and cell cycle activity is inhibited (14). Assessing the integrated performance of these chemical and physical mechanisms is nontrivial and leaves open a systems-level question: How do cells quantitatively evaluate cell–cell contact and GFs to regulate cell cycle commitment?
To address this question, we undertook a quantitative experimental analysis of cell cycle activity of individual epithelial cells within multicellular clusters. We show that a quantitative titration of the amount of epidermal growth factor (EGF) and the level of cell–cell contact regulates cell cycle activity. Only below a critical threshold level of EGF, cadherin-mediated contacts suppress cell proliferation. Moreover, we demonstrate that this threshold amount of EGF is a tunable property. By manipulating cell–cell interactions using either micropatterned surfaces or molecular genetics, we induce contact-inhibition at a higher level of EGF. These findings suggest a quantitative model of contact-inhibition of proliferation; we propose a state diagram in which epithelial cells transition from a contact-uninhibited state to a contact-inhibited state at a critical threshold level of EGF, a property that may be tuned by modulating the extent of cell–cell contacts. This quantitative model of contact-inhibition has direct implications for how tissue size may be determined and deregulated during development and tumor formation, respectively, and provides design principles for engineering epithelial tissue growth in applications such as tissue engineering.
Results and Discussion
To examine the quantitative interplay between GFs and cell–cell contact in regulating cell proliferation, we quantified cell cycle activity in clusters of nontransformed human mammary epithelial cells (MCF-10A) stimulated with different doses of EGF (Fig. 1A). At early time, BrdU uptake (a measure of DNA synthesis) was observed among cells both in the periphery and the center of clusters. Thus, cell–cell contact is not sufficient to halt cell cycle activity among interior cells at 24 h. Only later in time was BrdU uptake localized to the periphery of cell clusters while the growth of interior cells was impeded. This spatial pattern was especially evident at 48 and 72 h poststimulation in cultures initially treated with 0.1 and 1 ng/mL EGF, respectively (Fig. 1 Aiv and Aviii). Treatment with an E-cadherin function blocking antibody eliminated the spatial pattern in cell cycle activity whereas a nonspecific mouse IgG had no effect (Fig. 1B). These results confirm that E-cadherin-mediated contact-inhibition triggers the spatial pattern in proliferation and rules out alternative mechanisms, such as a diffusion-limited spatial gradient in EGF.
Fig. 1.
E-cadherin-mediated contact-inhibition triggers spatial patterns in cell cycle activity only when EGF depletes to a threshold concentration. (A) BrdU incorporation (green) and DAPI staining (blue) in MCF-10A cells initially seeded at 5 × 103 cells per cm2 and treated with indicated doses of EGF for 24, 48, and 72 h. Aiv and Aviii show quantitation of the percentage of peripheral and interior cells incorporating BrdU. Error bars, SEM (n = 2–5). ∗, P < 0.01; ∗∗ P < 0.05. (B) The effect of control IgG and anti-E-cadherin function blocking antibody on spatial pattern in cell cycle activity. Cells were initially simulated with 0.1 ng/ml EGF, and 24 h later, treated with antibodies. BrdU uptake (green) and DAPI (blue) was assessed 24 h later. Percentage of peripheral and interior cells incorporating BrdU was quantified. Error bars, SEM (n = 2). ∗, P < 0.05. (C) Amount of EGF in the medium for cultures treated initially with indicated doses of EGF. The vertical lines indicate the amount of EGF when a spatial pattern in proliferation is observed (blue) and 24 h prior (red). Error bars, SEM (n = 2). (Scale bars, 100 μm.)
These results demonstrate that E-cadherin-mediated contact-inhibition induces spatial patterns in proliferation only at specific times in culture. Furthermore, cells stimulated with a higher dose of EGF take longer time to exhibit spatial patterns in cell cycle activity (Fig. 1 Aiv and Aviii). We reasoned that this apparent dependence of contact-inhibition on EGF dosage may be linked to receptor-mediated degradation of EGF. Upon binding its receptor, the EGF/EGF receptor complex is internalized and a fraction of the ligand is degraded in the lysosome (15). We hypothesized that the EGF concentration may have to dip to a critical threshold level in order for cell–cell contact to effectively suppress cell cycle activity of interior cells. Consistent with this hypothesis, in cultures treated with a high dose of EGF (10 ng/mL EGF), both interior and peripheral cells maintain equal levels of cell cycle activity at all 3 time points (24, 48, and 72 h) (Fig. S1). Furthermore, direct measurement of EGF concentration in the medium showed that the amount of EGF decreases by 2 to 3 orders of magnitude over time (Fig. 1C), revealing a significant rate of cell-mediated ligand depletion.
If contact-inhibition is in fact sensitized to a threshold EGF concentration, then this threshold ought to be independent of the initial dose of EGF. A closer examination of the EGF depletion data confirms this hypothesis. Regardless of the initial amount of EGF, ≈3 × 103 EGF molecules per cell are present when spatial patterns in proliferation are observed (Fig. 1C). We note that the BrdU assay identifies cells that have already committed to the cell cycle and are actively undertaking DNA synthesis. Based on the general timing of the cell cycle, the evaluation of environmental cues and the decision to enter the cell cycle likely occurred ≈20 h earlier (16). Thus, we conclude that at the time when contacts inhibit cell cycle entry among interior cells, the critical threshold of EGF is ≈3 × 104 molecules per cell.
To test further whether contact-inhibition occurs only at this critical EGF concentration, we designed an alternate approach to measure the threshold. Instead of waiting for ligand to deplete, we exposed cells to a broader range of EGF concentrations, including low levels that would emulate the late depletion scenarios. Furthermore, we quantified cell cycle activity at a common time point, eliminating any changes in cells that could accumulate over time. In this assay at relatively high EGF concentrations (0.1, 1, and 10 ng/mL), both peripheral and central cells proliferate with nearly equal propensity (Fig. 2A). However, at lower EGF concentrations (0.001 and 0.01 ng/mL), BrdU uptake ceases selectively among interior cells whereas peripheral cells maintain higher cell cycle activity. Thus, as in the previous assay format, contact-inhibition is triggered only when EGF dips below a critical threshold concentration (0.01 ng/mL). This threshold translates to ≈104 EGF molecules per cell, demonstrating a common quantitative “setting” for contact-inhibition that is remarkably similar between the 2 assay formats.
Fig. 2.
Selective attenuation of Erk, but not Akt, among interior cells correlates with contact-inhibition. MCF-10A cells seeded at a density of 104 cells per cm2 were serum starved for 24 h and stimulated with the indicated doses of EGF or left untreated. BrdU uptake (A, green) and Erk/Akt (B and C, green) signals were assessed by immunostaining 24 h and 15 min, respectively, after EGF treatment. Nuclei were co-stained with DAPI (blue). Insets show representative images for cells treated with 0.01 ng/mL EGF. The bar graphs show percentage of nuclei incorporating BrdU (A), the relative nuclear intensity of ppErk (B), and the relative nuclear intensity of pAkt (C) in peripheral and interior cells. Nuclear ppErk and pAkt intensities are reported relative to the amount of signal in peripheral cells treated with 10 ng/mL EGF. Error bars, SEM (A, n = 3; B, n = 3; C, n = 2). ∗, P < 0.05. [Scale bars, 100 μm (A) and 50 μm (B and C).]
We hypothesized that at this critical threshold level of EGF, cell–cell contact may be obstructing specific signaling pathways that are needed to stimulate cell cycle activity in interior cells. To examine this hypothesis, we focused on 2 major intracellular signals, Erk and Akt, that regulate cell cycle progression in many other cell systems (17) and are necessary for EGF-mediated proliferation in MCF-10A cells (Fig. S2). We quantified the activation of these signals in single cells at the periphery and interior of clusters. At relatively high EGF concentrations, Erk activation is uniform across the cluster (Fig. 2B and Fig. S3B). However, at 0.001 and 0.01 ng/mL EGF, the level of ppErk is distinctly higher in the peripheral cells (Fig. 2B and Fig. S3B). In contrast, Akt phosphorylation does not exhibit spatial heterogeneity at any of the EGF concentrations (Fig. 2C and Fig. S3C). Similar to Akt signaling, EGFR phosphorylation on Y1068 and Y1173 residues (Grb2 and Shc binding sites, respectively) seems to be uniform across the cell cluster for all EGF concentrations (Fig. S4). Thus, a spatial pattern in Erk signaling, but not Akt or EGFR phosphorylation, occurs at precisely the same threshold EGF dose at which contact inhibits cell cycle activity.
The emerging model from our data are that when the amount of EGF dips below a threshold value, cell–cell contact effectively inhibits EGF-mediated Erk signaling and thereby arrests cell cycle progression. If this model is accurate, supplying fresh ligand to raise its concentration above the threshold should reverse spatial disparities in Erk signaling and cell cycle activity. To test this possibility, we treated serum-starved MCF-10A cells with 0.1 ng/mL EGF, and 24 h later, replenished the medium with fresh 0.1 ng/mL EGF. After refreshment, the level of phosphorylated Erk in interior and peripheral cells was equivalent (Fig. S5A) in sharp contrast to the spatial pattern observed in nonreplenished cultures (Fig. 2B). Furthermore, replenishing EGF entirely eliminates the spatial pattern in cell cycle activity (Fig. S5B). These results support our model and demonstrate that as EGF concentration dips below a threshold level, cadherin-mediated contacts selectively inhibit EGF-mediated Erk signaling and cell cycle activity among interior cells.
Furthermore, this threshold model seems relevant in other cell types. In Eph4 mouse mammary epithelial cells, when EGF level is increased above a threshold level, DNA synthesis activity was uniform across the cluster; meanwhile, a contact-inhibited pattern of proliferation is observed at the threshold amount of EGF (Fig. S6). Interestingly, the threshold in Eph4 cells occurs at ≈1.5 × 103 EGF molecules/cell and is different from the threshold level quantified in MCF-10A cells. This difference in threshold settings may be due to differences in the expression level of EGF receptors between the cell types. Alternatively, differences in the expression levels of signaling components, including cross-talk partners such as ErbB2–4, may alter the quantitative sensitivity of these 2 cell types to the extracellular stimulus, EGF. Thus, although the quantitative set point for the EGF threshold may vary across epithelial cell types, the competitive interplay between EGF and contact seems to be a general feature.
In this manner, our analysis reveals a threshold amount of EGF at which contact-inhibition effectively induces a spatial pattern in cell cycle activity. An intriguing question is whether this competition operates bidirectionally. That is, instead of lowering EGF concentration to enable contact-inhibition, can cell–cell interactions be enhanced so that it competes more effectively with higher doses of EGF? Or, is the threshold EGF concentration a “hard-wired” parameter of contact-inhibition?
To examine this question, we first modulated cell–cell interactions using micropatterned substrates. By varying the number of cells seeded onto circular adhesive micropatterns of the same size, we manipulated the surface area of contact between neighboring cells (Fig. 3A). The density of DAPI staining confirmed the relative differences in cell density. After stimulation with medium containing 20 ng/mL EGF, a spatial pattern in cell proliferation was evident in the culture with more extensive cell–cell interactions. Meanwhile, DNA synthesis in the low-density population was homogeneous. This result reveals that contact-inhibition of proliferation may be achieved at significantly higher doses of EGF if cell–cell interactions are augmented.
Fig. 3.
A quantitative balance between EGFs and cell–cell contacts dictates the spatial pattern in cell cycle activity in epithelial cell clusters. (A) Low (Left) and high (Right) numbers of MCF-10A cells (5 × 104 and 1.2 × 105 cells per cm2, respectively) were plated on circular microdomains of the same size, serum starved for 24 h, and stimulated with medium containing 20 ng/mL EGF for 24 h. By increasing the number of cells seeded, we force cells to acquire a more columnar morphology with an elevated amount of cell–cell contact area. Nuclear density (DAPI) and DNA synthesis (BrdU) was assessed by immunofluorescence. Images from 20 islands (n = 2) were stacked, and heat maps of their stacked intensities are shown. The Top images show phase contrasts. (B) Cells treated with control or E-cadherin siRNA (50 nM) were plated at the same high density and stimulated with medium containing 20 ng/mL EGF for 24 h. Images of nuclear density (DAPI) and DNA synthesis (BrdU) were acquired from 30 islands (n = 2), and heat maps of their stacked intensities are shown. (Scale bars, 100 μm.) (C) A state diagram of epithelial cell growth as a function of EGF and cell–cell interaction levels. Epithelial cells transition from (i) a contact-uninhibited state to (ii) a contact-inhibited state at a critical threshold level of growth factor (EGF*). Insets show representative fluorescence images probed for BrdU uptake (green) and DAPI (blue) for clusters in contact-uninhibited and contact-inhibited states.
An important caveat, however, is that the growth arrest of interior cells in the high-density culture may be due to nonspecific mechanical stresses at high cell density, space limitations due to overcrowding and/or reduced access to the underlying adhesive substrate. To determine whether cell–cell contacts are responsible for the observed spatial pattern in the high-density population, we examined the effect of down-regulating E-cadherin expression using siRNA. Transfection with siRNA, but not a control construct, significantly reduced E-cadherin expression in MCF-10A cells (Fig. S7). Cells treated with the control siRNA and seeded at high density exhibited a spatial pattern in proliferation (Fig. 3B), revealing that the control siRNA treatment had no effect on contact-inhibition. In contrast, the spatial pattern was eliminated in cells plated at the same high density and treated with E-cadherin siRNA. These results demonstrate that E-cadherin plays a critical role in mediating the observed contact-inhibition on micropatterned substrates at higher doses of EGF. It remains an open question whether E-cadherin itself directly delivers the contact-inhibition signal or whether E-cadherin interactions are needed to establish sufficient cell–cell contact for other proteins, such as Notch or ephrins, to mediate the contact-inhibition signal.
Our results suggest a quantitative state diagram in which epithelial cells proliferate in 2 possible modes: contact-uninhibited and contact-inhibited (Fig. 3C). The transition into the contact-inhibited state occurs when the amount of EGF recedes below a critical threshold level. Furthermore, we showed that amplifying the level of cell–cell interactions using a micropatterned surface enables contact-inhibition at a higher level of EGF, suggesting that the tipping point at which contact-inhibition is triggered is tunable.
To test further this state diagram model and the tunability of the interplay between contact and EGF, we revisited the relatively more straightforward scenario in which epithelial cells are growing on a nonpatterned surface without any spatial constraints. According to our state diagram model, increasing the level of cell–cell interactions in this context should enable the transition to a contact-inhibited state at higher EGF concentrations, driving the onset of the spatial pattern in cell cycle activity at earlier time (Fig. 4A). To test this hypothesis, we retrovirally infected MCF-10A cells with either a vector encoding epitoped-tagged human E-cadherin (pBabe-E-cad-HA) or an empty vector (pBabe). Cells transduced with virus encoding the exogeneous E-cadherin exhibited elevated E-cadherin expression compared with the cells infected with the virus prepared with an empty vector (Fig. 4B). Cells overexpressing E-cadherin exhibited a spatial disparity in cell cycle activity as early as 24 h at which time, noninfected MCF-10A cells (Fig. 1 Ai and Aiv) and those infected with a retrovirus encoding the empty vector exhibit a uniform growth pattern (Fig. 4C). These results reveal that the overexpression of E-cadherin induces contact-inhibition at an earlier time when EGF levels are higher, consistent with the state diagram that we have proposed. Thus, by tuning the level of cell–cell interactions, the spatial dynamics of epithelial proliferation may be reengineered.
Fig. 4.
Spatial dynamics of epithelial growth can be modulated by tuning the critical thresholds at which contact-inhibition is triggered. (A) Model of tunable epithelial growth dynamics. Epithelial clusters grow in 2 modes: the first state in which both interior and peripheral cells proliferate and a second state in which only peripheral cells contribute to population growth. The transition from the first to second mode occurs at a threshold EGF concentration (EGF*) at a critical time (t*). According to our diagram model, modulating the extent of cell–cell interactions should allow us to manipulate the threshold EGF concentration, and thereby affect the timing of spatial patterns in epithelial proliferation. Insets show representative fluorescence images probed for BrdU uptake (green) and DAPI (blue) for clusters in contact-uninhibited and contact-inhibited states. (B) MCF-10A cells were retrovirally infected with the empty vector pBabe, or exogenous E-cadherin (E-cad-HA). Cells were seeded at a density of 5 × 103 cells per cm2, serum-starved, and treated with 0.1 ng/mL EGF. Whole cell lysates were collected 90 min later, and the extent of overexpression in E-cadherin was determined by immunoblotting for E-cadherin and the epitope tag HA. Equal loading was confirmed by probing for actin. (C) MCF-10A cells infected with retrovirus encoding either the empty vector or E-cad-HA were starved and stimulated with 0.1 ng/mL EGF for 24 h. Percentage of peripheral and interior cells incorporating BrdU was quantified. Error bars, SEM (n = 3). ∗, P < 0.05.
In summary, our quantitative measurements and analysis lead us to propose a tunable titration model for how contacts and growth factors compete to regulate cell cycle activity. This quantitative model modifies the classical notion that contact-inhibition acts as a switch that is either present or absent in normal versus tumor cells, respectively. Our findings support a more graded perspective of contact-inhibition: during cancer progression, contact-inhibition may steadily erode as the threshold amount of EGF shifts lower with every genetic and epigenetic “hit.” This tunability of the threshold amount of EGF would seem to be a fragility in cell cycle regulation that is exploited during cancer development. This raises the question of why this property would be preserved through evolutionary selection. The answer may lie in its potential pivotal role in development. Theoretical models predict that an increase in cell density serves as a negative feedback that quantitatively desensitizes the mitogenic response to soluble factors, thereby self-regulating the size of developing tissues (18, 19). Our results provide experimental evidence for such a tunable, quantitative balance between contact and GFs in regulating cell cycle activity. Finally, our model indicates that epithelial clusters grow in 2 different modes: the first in which both interior and peripheral cells proliferate and a second mode in which only peripheral cells contribute to population growth. Manipulating cells between these modes of proliferation can provide control over population growth rate and tissue geometry, both key parameters in tissue engineering.
Materials and Methods
Cell Culture and Reagents.
MCF-10A cells were cultured in growth medium as described in ref. 20. For experiments, cells were plated on either glass coverslips (VWR) or 2-chambered coverslides (Lab-Tek) in growth medium for 24 h. For G0 synchronization, cells were maintained in serum free medium for 24 h (20). The following antibodies were used: anti-actin (Santa Cruz), anti-BrdU (Roche Applied Science), anti-E-cadherin (BD Transduction Laboratories), anti-HA (Covance), anti-phospho-Thr202/Tyr204-Erk 1/2 (Cell Signaling Technology), anti-phospho-serine 473-Akt (Cell Signaling Technology), HECD-1 (Zymed), mouse IgG (Sigma–Aldrich), and Alexa dye-labeled secondary antibodies (Invitrogen). The pharmacological inhibitors, PD98059 and LY294002, were obtained from Calbiochem.
Subcloning and Retrovirus Production and Usage.
The human cDNA of E-cadherin was kindly provided by P. Wheelock (University of Nebraska Medical Center), and was used to make pBabe-E-cadherin-HA construct. Briefly, the E-cadherin gene was amplified by PCR, with BglII and XhoI sites added to the 5′ and 3′ ends, respectively. In addition, to facilitate the detection of the exogenous proteins, HA epitope (YPYDVPDYA) was added to the C terminus of the construct. The PCR product was digested with BglII and XhoI, and ligated into the pBabe vector. The coding sequence of pBabe-E-cadherin-HA was verified by DNA sequencing (Laragne). Retrovirus was produced by triple transfection of HEK 293T cells and used to infect MCF-10A cells as described in ref. 20.
Knockdown Using siRNA.
siRNA targeting E-cadherin mRNAs (sense 5′-GAUUGCACCGGUCGACAAATT-3′, antisense 5′-UUUGUCGACCGGUGCAAUCTT-3′) was obtained from Integrated DNA Technology. Nonspecific control siRNA was purchased from Ambion. siRNAs were transfected using Lipofectamine RNAiMAX (Invitrogen).
Quantification of Ligand Depletion.
Cell number was determined by suspending cells with enzymatic treatment, and cell counting using a hemacytometer. To quantify the amount of EGF, samples from the medium were collected, precleared by centrifugation and stored at −20 °C. EGF concentration was assayed simultaneously in all frozen samples using an ELISA kit (R&D Systems).
Immunofluorescence and Image Acquisition.
Fixed cells were permeabilized, blocked and sequentially incubated with primary and secondary antibodies. The cells were co-stained with DAPI (Sigma–Aldrich) and mounted using ProLong Gold Antifade (Molecular Probes). Images were acquired using the Zeiss Axiovert 200M microscope. Reagents used for each type of stain are summarized in SI Text.
Cell Lysis and Western Blot Analysis.
Cell lysis and western blot analysis were performed as described in ref. 20.
Fabrication of Micropatterned Substrates.
Fibronectin was micropatterned on gold-coated, chambered coverslides by microcontact printing using a PDMS stamp. Briefly, UV light was passed through a chrome mask containing the pattern (Nanoelectronics Research Facility at UCLA) onto a layer of SU-8 photoresist to make a mold. PDMS was cast into this mold to make the stamp. The stamp was “inked” with 16-mercaptohexadecanoic acid (Sigma–Aldrich) dissolved in 99% ethanol and was used to print gold-coated chambered coverslides. The unprinted area was passivated using PEG (6)-thiol (Prochimia) dissolved in 99% ethanol. After washing, the coverslide was treated with EDC and Sulfo-NHS (Pierce) to activate the acid, priming it to cross-link with amine groups in fibronectin (Sigma–Aldrich).
Supplementary Material
Acknowledgments.
We thank members of the Asthagiri group for helpful discussions, An-Tu Xie for his involvement in the early stages of image analysis, and Celeste Nelson and Casim Sarkar for comments on the manuscript. This work was supported by the Concern Foundation for Cancer Research and the Jacobs Institute for Molecular Engineering for Medicine.
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at www.pnas.org/cgi/content/full/0812651106/DCSupplemental.
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