Abstract
Objectives
Contactless magnetic assembly of cells into 3D clusters has been proposed as a novel means for 3D tissue culture that eliminates the need for artificial scaffolds. However, thus far its efficacy has only been studied by comparing expression levels of generic proteins. Here, it has been evaluated by visualizing the evolution of cell clusters assembled by magnetic forces, to examine their resemblance to in vivo tissues.
Materials and methods
Cells were labeled with magnetic nanoparticles, then assembled into 3D clusters using magnetic force. Scanning electron microscopy was used to image intercellular interactions and morphological features of the clusters.
Results
When cells were held together by magnetic forces for a single day, they formed intercellular contacts through extracellular fibers. These kept the clusters intact once the magnetic forces were removed, thus serving the primary function of scaffolds. The cells self‐organized into constructs consistent with the corresponding tissues in vivo. Epithelial cells formed sheets while fibroblasts formed spheroids and exhibited position‐dependent morphological heterogeneity. Cells on the periphery of a cluster were flattened while those within were spheroidal, a well‐known characteristic of connective tissues in vivo.
Conclusions
Cells assembled by magnetic forces presented visual features representative of their in vivo states but largely absent in monolayers. This established the efficacy of contactless assembly as a means to fabricate in vitro tissue models.
Introduction
Three‐dimensional (3D) clusters of cells are able to mimic in vivo conditions better than monolayers 1, 2, 3, 4. This is because features of cells, for example morphology and gene expression, are strongly influenced by their microenvironment ‐ neighboring cells 5 and the extra‐cellular matrix (ECM) 6. Popular 3D cell culture methods employ scaffolds to position cells in 3D architecture 7, 8. A wide variety of artificial scaffolding materials is used, ranging from synthetic polymers 9, 10 to extracellular proteins of animal origin 11. They enable cell‐cell interactions encountered in vivo. However, cell behaviour is also strongly regulated by several aspects of the ECM, such as its mechanical stiffness, chemical composition and topography 12. Thus, tissue cultured in an artificial scaffold is often not a faithful representation of its in vivo form 11, 13. One solution is to design scaffolds that closely mimic the in vivo ECM for each individual cell type 14. A more convenient route, however, is to eliminate the use of scaffolds altogether, and to assemble the cells into 3D clusters using a contactless means, such as gravity 4, centrifugation 15 or magnetophoresis 16, 17. Cells thus assembled are known to generate their own ECM 18, thus eliminating the need for mechanical support from artificial scaffolds.
Contactless magnetic manipulation of cells has been explored for decades 19, 20, 21, 22, serving a variety of applications, for example, cell‐sorting 23, tissue engineering 24, 25 and as novel experimental tools 16, 26, 27. Manipulation is achieved by labeling the cells with magnetic nanoparticles (MNPs) coated in cytocompatible materials 28, 29, 30. Thus magnetized, the cells can be organized into structures of desired shape and size, such as in clusters 27, 31, spheroids 16, 17, 32, thick sheets 33, 34, 35, 36 and tubes 37, 38, 39, 40, 41, by a priori determining the required magnetic field 42, 43, 44, 45, 46. Further, prescribed heterogeneities in population constitution of the culture can be patterned 24, 47. These features are crucial for sophisticated experiments, such as being able to understand influences of intercellular communications in tumourigenesis 48, 49, but are not achievable with centrifugal or gravitational forces.
The last decade has seen several reports on magnetic assembly of cells for 3D tissue culture 50. However, all thus far have established their efficacy by observing expression levels of generic proteins, such as transmembrane adhesion proteins (E‐cadherin and N‐cadherins), cytoskeletal proteins (actin and vimentin) and ECM proteins (collagen and fibronectin) 16, 17, 51, 52. Results have been compared to monolayers and established 3D tissue culture methods, such as xenografts, centrifugal pelleting or the hanging drop method. Protein content is a well‐known measure of tissue function and forms a logical choice as a metric of efficacy. However, it is impossible to specify an exhaustive list of proteins that needs to be probed in order to conclude that a group of cells has transformed into a tissue. Such a list is also very specific to cell type. Thus, a universal test for evaluating efficacy of a tissue engineering method is as yet unknown.
Any method to ‘assemble’ cells into an artificial tissue must cause them to form contacts with their neighbours. Further, they must collectively organize into a construct that resembles the morphology of the corresponding tissue in vivo 1. These two observations form more universally applicable indicators of tissue formation than protein expression levels. However, reports examining these facets are unavailable in the current literature. Histological analyses using H&E staining 37, 38, 51 provide only limited understanding of tissue architecture, but do not inform on either intercellular contacts or tissue morphology. Here we present visual evidence of both in clusters of magnetically assembled cells using scanning electron microscopy (SEM). When the cells were held in close proximity for a day, they formed intercellular contacts facilitated by extracellular fibers. Through these, the cells underwent collective re‐organization. Epithelial cells formed multi‐layer sheets while fibroblasts formed spheroids. Thus, the shape of such clusters was consistent with the physical form of the corresponding tissues in vivo. Further, the fibroblasts in 3D clusters exhibited position‐ and possibly, function‐dependent morphological heterogeneities; the cells on the periphery of the clusters assumed flattened skin‐like forms while the cells within were spheroidal. These are well‐known characteristics of connective tissues in vivo 53. The observations strongly demonstrate efficacy of magnetic assembly as a means to engineer tissues for basic studies as well as regenerative medicine.
Materials and Methods
Synthesis of magnetic nanoparticles
Magnetite (Fe3O4) nanoparticles were synthesized by a modification of Massart's co‐precipitation method 54 and coated with bovine serum albumin (BSA) essentially as previously described 28. Briefly, 1.72 g FeCl2·4H2O and 4.67 g FeCl3·6H2O were dissolved in 60 ml deionized (DI) water. In order to ensure that the magnetite was not contaminated with maghemite (γ‐Fe2O3) and hematite (α‐Fe2O3) by oxygen dissolved in the reaction medium 55, 56, the DI water was degassed prior to synthesis by boiling for ~30 min under vacuum and subsequent probe sonication for ~30 min. The solution was then added to 20 ml ammonium hydroxide with vigorous stirring. A black‐brown precipitate of magnetite nanoparticles was formed. The mixture was centrifuged (5000 g, 15 min) and the pellet resuspended in DI water to remove unreacted reagents and to reduce its pH. This process was repeated 5 times. MNPs were finally pelleted again and resuspended in 20 ml of 5% (w/v) aqueous solution of BSA (Fisher BioReagents, Pittsburgh, PA, USA. Fraction V, heat shock treated). The dispersion was sonicated for 1 h using a probe sonicator (Sonic Dismembrator; Model 300, Fisher Scientific, Pittsburgh, PA, USA). The resulting suspension was a homogeneous reddish brown liquid when inspected at 400× magnification using an inverted microscope. The solution was allowed to stand overnight, and then ultracentrifuged (Optima™ L‐90K; Beckman‐Coulter, Indianapolis, IN, USA) at 100 000 g for 1 h. The pellet was then resuspended in 40 ml DI water by sonication. This process removed excess BSA. The dispersion remained stable for several months when stored at 4 °C and contained a magnetite concentration of 50 mg/ml.
Cell culture
Human prostate cancer epithelial (PC‐3) cells were obtained from American Type Culture Collection (ATCC) and cultured in Roswell Park Memorial Institute (RPMI) medium (Life Technologies, Carlsbad, CA, USA). The cells were transfected to express mOrange (PC3‐mOrange) using full‐length cDNA expressing mOrange, received as a kind gift from Dr. R. Y. Tsien, University of California, San Diego. mOrange gene was excised and cloned into pCDNA 3.1 and designated pCDNA‐mOrange. PC3‐mOrange cells were developed by following the stable transfection protocol as previously described 57. Briefly, the PC‐3 cells were transfected with pCDNA‐mOrange plasmid and grown under Geneticin restriction (2.5 μg/ml) for 2 weeks followed by selection of geneticin resistant clones under limiting dilution and further amplification. PC3‐mOrange cells expressed mOrange stably for more than 50 passages in our laboratory. Human lung fibroblast (HFL‐1) cells (ATCC) were cultured in Ham's F‐12K (Kaighn's) medium (Life Technologies). All media were supplemented with heat inactivated 10% (v/v) foetal bovine serum (FBS; Atlanta Biologicals, Flowery Branch, GA, USA) and 1% (v/v) penicillin/streptomycin (Sigma‐Aldrich, St. Louis, MO, USA). Additionally, the RPMI medium was supplemented with 1% (v/v) Geneticin (G418; Life Technologies) to select stably transfected PC3‐mOrange cells. Cells were trypsinized and reseeded every 3–4 days then cultured at 37 °C in a humidified environment with 5% CO2. The PC‐3 cells used in the study were between their 20th and 40th passages, and HFL‐1 cells were between 5th and 10th passages.
Cell magnetization
The dispersion of BSA coated MNPs in deionized water, prepared as described above, was diluted in Dulbecco's phosphate buffered saline at a ratio of 1:3 (v/v). This dilution had magnetite concentration of 12.5 mg/ml. The dilution factor was selected by trial‐and‐error; it produced distinctly observable magnetophoretic motion in almost all cells without significantly compromising their viability (discussed below). Cells were seeded in 12 well tissue culture plates (Nunc, Thermo Fisher Scientific, Waltham, MA, USA) at ~75% confluence and allowed to attach overnight. Each well was then washed and treated with the diluted MNP dispersion and incubated at 37 °C in a humidified environment with 5% CO2 for 1 h. Cells were subsequently washed 5 times, trypsinized using standard techniques and used for the experiments. Cell viability was measured using trypan blue staining for dead cells and subsequent counting using a Nexcelom Cellometer® (Nexcelom Bioscience, Lawrence, MA, USA).
Cluster formation using magnetic forces
Magnetized cells were assembled into 3D clusters on substrates using permanent magnets, as illustrated in Fig. 1. Cell clusters were built in layers using a multi‐step seeding process (Fig. 1a). Briefly, a small droplet (~100 μl) of medium containing suspended magnetized cells was first placed on a glass coverslip immediately above the permanent magnets. The cells settled on the substrate within ~5 min due to magnetophoresis, forming a thin sheet whose shape was dictated by the magnetic field. Within an hour, these cells adhered to the glass substrate or to adjoining cells. A second drop of magnetized cell suspension was then dropped on top of the first. The process was repeated six times at 1 h intervals. An hour after the final seeding stage, the Petri dishes containing coverslips and magnets were filled with growth medium so that the coverslips and cells were completely submerged. After 24 h, the magnets were removed, the coverslips were immersed in growth medium and the cells were allowed to proliferate until the experiment was terminated by fixing the samples for microscopy.
Scanning electron microscopy
Scanning electron microscopy (SEM) images of the cells at various time points after seeding were obtained from samples fixed at the corresponding times. Karnovsky's fixative was prepared by dissolving 4 g paraformaldehyde powder in 50 ml distilled water at 70 °C. The solution cleared when a drop of potassium hydroxide was added. The solution was then cooled, 10 ml 50% glutaraldehyde was added, and the volume was brought up to 100 ml using 0.2 m sodium cacodylate. Finally, 50 mg calcium chloride was added slowly. 3D cell clusters, seeded on the glass coverslips, were first washed three times in PBS, then treated with Karnovsky's fixative and left at 4 °C overnight. Samples were subsequently washed in 0.1 m sodium cacodylate buffer for 15 min, post‐fixed in 1% OsO4 in 0.1 m sodium cacodylate buffer for 1 h, washed twice in sodium cacodylate buffer and dehydrated in series of graded ethanols. Then, the samples were dried (Ladd critical point dryer), coated with gold (SPI Module™ Sputter Coater) and imaged using a Carl Zeiss (Oberkochen, Germany) EVO® 40 series SEM.
Confocal microscopy
The PC‐3 cells were stably transfected to express mOrange and cultured in media supplemented with Geneticin as described above. Z‐stack images of live 3D cell clusters were obtained using a Zeiss LSM510 META laser scanning microscope on an inverted Axio Observer Z1 base.
Results
Characterization of the magnetic nanoparticles
Size of the as‐prepared BSA coated MNPs dispersed in DI water was measured using a variety of techniques. Their magnetic cores had diameters of ~10 nm, measured using transmission electron microscopy (Model: EM 420, Philips, Eindhoven, The Netherlands) (Fig. 2a,b). Hydrodynamic diameters of the particles, measured using Dynamic Light Scattering (Model: Zetasizer Nano ZS90, Malvern Instruments, Worcestershire, UK) had a modal value of ~50 nm (Fig. 2c). The difference occurred due to the thickness of protein coating as well as some agglomeration. Hydrodynamic diameters increased to ~80 nm when this dispersion was diluted in PBS prior to cell treatment, possibly due to further agglomeration.
Crystal structure of MNP cores was probed by X‐ray powder diffraction (XRD) analysis (Bruker D8 Discover Davinci™ diffractometer, Co‐Kα radiation: λ = 1.79 Å) and patterns (Fig. 2d) showed characteristic peaks of Fe3O4 (PDF# 01‐071‐6336). Absence of weakly magnetic iron oxide α‐Fe2O3 was confirmed since its characteristic peaks (PDF# 01‐088‐2359) were not observed. However, XRD analysis did not overrule the possibility of γ‐Fe2O3 formation. This is because Fe3O4 and γ‐Fe2O3 have almost identical crystal structures, making it impossible to distinguish between them using XRD 56.
Magnetization of MNPs was probed by recording their magnetic hysteresis (Fig. 2e) using a superconducting quantum interference device (SQUID) magnetometer (Magnetic Property Measurement System, Quantum Design Inc., San Diego, CA, USA). They did not show any observable remanence, that is, they were superparamagnetic. Further, room temperature saturation magnetization of MNPs matched that of Fe3O4 nanoparticles (~80 emu/g) 58, 59 and were substantially higher than values reported for γ‐Fe2O3 nanoparticles (~40 emu/g) 60, 61. This confirmed that magnetic cores of the MNPs largely comprised of Fe3O4.
Variations in MNP concentration used in magnetizing the cells yielded variations in cell viability (Fig. 2f). Magnetite concentration of 12.5 mg/ml was the minimum that produced distinctly observable magnetophoretic motion in all cells. At this concentration, the whole magnetization process yielded PC‐3 cell viability of 75.2 ± 5.6% (N = 4).
Cell morphology
Scanning electron microscopy was used to compare morphology of cells cultured as monolayers with those cultured in the magnetically assembled 3D clusters. In the monolayers, the familiar flattened morphology was assumed by both the PC‐3 and HFL‐1 cell lines (Fig. 3a,c). In contrast, in 3D clusters, both cell lines were visibly less stretched and assumed a somewhat spheroidal morphology (Fig. 3b,d).
Confocal microscopy (Fig. 4) was used to visualize morphology of PC‐3 cells at various locations within 3D clusters. Cells that were in direct contact with the glass substrate had the familiar elongated form as observed in monolayers. In contrast, cells that were only in contact with other cells acquired spherical morphology.
Intercellular contacts
PC‐3 cells in both monolayers (Fig. 3a) and 3D clusters (Fig. 3b) had extracellular fibers on their membrane surfaces. For cells in monolayers, these fibers did not serve any visible mechanical purpose (Fig. 3a). However, for those cultured in 3D clusters, the fibers formed intercellular contacts (Fig. 3b). HFL‐1 cells in monolayers had smooth membranes (Fig. 3c) with no indication of the presence of extracellular fibers. However, in 3D clusters they had more surface asperities. These cells also formed large numbers of cell‐cell contacts, aided by extracellular fibers (Fig. 3d).
Evolution of cluster shape
PC‐3 cells were assembled into rings on Day 0 (Fig. 5a), after which they gradually organized themselves into tight circular sheets within a day. In some cells, cell membranes appeared stretched at points where they were attached to the intercellular fibers (Fig. 5b). This indicated that the fibers were in tension 62, 63, 64, 65.
Temporal evolution of the shapes of cell clusters was even more dramatic for HFL‐1 cells (Fig. 6). Starting from ring‐like clusters visually indistinguishable from the Day 0 PC‐3 cells (Fig. 5a), HFL‐1 cells organized themselves into tightly packed spheroids within a day (Fig. 6a). Spheroidal clusters had much smaller diameters than initial rings.
Heterogeneities in cell morphology
Basolateral surfaces of HFL‐1 clusters, detached from glass substrates, were formed of spheroidal cells with several cell‐cell connections (Fig. 6b). Extracellular fibers aided such connections, as also seen in Fig. 3d. Cluster apical surfaces, on the other hand, were composed of smooth and stretched cells (Fig. 6c). These stretched cells were connected to each other at their boundaries by cytoplasmic protrusions that appeared like filopodia (Fig. 6d). The stretched cells formed a skin‐like boundary over the entire spheroid surface that was exposed to culture media during growth.
Discussion
This study has examined contactless magnetic assembly of cells into 3D clusters as a scaffoldless means for generating in vitro tissue models. Unlike previous investigations, which used expression levels of generic proteins as a metric of efficacy 16, 17, 51, 52, this study uses universal indicators of tissue formation: intercellular interactions and morphological features. Results demonstrate that despite the absence of artificial scaffolding materials, the cells collectively organized to present visible features of an in vivo tissue.
Cell morphology in 3D clusters differed substantially from monolayers
Cell morphology strongly depends on the mechanical stiffness of the material in contact with it 66, 67, 68, 69. Thus, for accurate modeling of in vivo tissues, cell culture methods must mimic the stiffness of the in vivo cellular microenvironment, which is comprised of neighboring cells and the ECM. Scaffolds used in conventional 3D cell culture methods are foreign to the cells, thus they differ in stiffness from the natural cellular microenvironment. Instead, magnetic assembly delivers a closer approximation. The cultured cells are initially only in contact with other neighboring cells, and thereafter also with the extracellular materials that they produce. This has a profound impact on cell morphology when compared to monolayers (Fig. 3). The cells assume a spheroidal shapes as opposed to the familiar flattened form observed in monolayers and certain artificial scaffolds 9, 10. Even within a 3D cluster, cells in direct contact with the stiff glass substrate have flattened monolayer shapes, while those which only contact other cells acquire spherical morphology (Fig. 4). This confirms the need for mimicking mechanical stiffness of the cellular microenvironment for accurate representation of a tissue in an in vitro model.
Cell‐cell connections serve the mechanical function of scaffolds
When a fresh single cell suspension is seeded for culture, cell‐cell contacts are non‐existent or extremely weak, and thus unable to bear the weight of the cells. As a result, cells settle on culture substrates under gravity, forming the well‐known monolayer culture. Its architecture is quite different from an in vivo tissue, and this difference is known to influence cell function. To better mimic a tissue, conventional 3D cell culture methods use scaffolds to position cells in a 3D architecture, thereby implementing the cell‐cell proximity encountered in vivo 69, 70. The scaffold is merely a 3D frame that mechanically supports cells by direct physical contact. Instead, in this study, magnetic forces have been used to provide mechanical support. We observed that once cells were thus supported for ~1 day, they naturally adhered to each other and retained their 3D structure even when the magnetic forces were removed. For the PC‐3 and HFL‐1 cells examined, the adherence resulted from cell‐cell connections formed using extra‐cellular fibers (Fig. 3), which developed sufficient strength to support weight of the cells within the day. Thus, the primary function of scaffolds was served by the magnetic forces and thereafter by the cell‐cell interconnections. This eliminated the need for physical contact with artificial scaffold material.
Clusters evolved to resemble corresponding tissues in vivo
A tissue culture method is successful if the cultured cells self‐organize to resemble their corresponding in vivo tissue. This is rarely observed in monolayers. However, here both cell types self‐organized into structures resembling their corresponding tissues in vivo: the epithelial cells (PC‐3) formed multi‐layer sheets (Fig. 5), while the fibroblasts (HFL‐1) formed tightly packed spheroids (Fig. 6). We believe that the close cell‐cell proximity facilitated by magnetic assembly enabled inter‐cellular microenvironmental cues that yielded such organization. Intercellular fibers were seen to apply forces to the cells (Fig. 5b), and possibly aid in this self‐organization. Measurement of such forces, particularly their evolution with tissue morphology, will provide significant advances to our understanding of tissue morphogenesis. This can be accomplished using well‐calibrated matrices 71 or by comparison with magnetostatic forces 26.
3D spheroids of HFL‐1 cells (Fig. 6) demonstrated a very interesting feature: cells on the peripheries of 3D clusters adopted different morphologies from cells contained within. This demonstrates that assembled cells readily differentiated their morphology based on cues from their environment. Such position‐dependent morphological differentiation is well known in connective tissues in vivo 53. They often serve crucial functions of the corresponding tissue.
Adoption of magnetic assembly for organotypic cell culture
Observations in this study provide evidence of the efficacy of magnetic assembly in tissue engineering by demonstrating that, despite the absence of artificial scaffolding materials, cells can organize themselves towards a functional form through intercellular contacts after accepting mechanical and micro environmental cues. The method described can be readily adopted in any laboratory practicing cell culture. It can be used to generate 3D clusters comprising single cell types or many different cell types, as seen in tissue architecture in vivo. Thus, the method has enormous and wide‐ranging scope for functional studies of various cell types.
Fairly exhaustive reports, for example, cytotoxicity and quantity of uptake, of similarly prepared MNPs on a wide variety of cell types are available in the literature. A list of common cell types is presented below, sorted by the coating material used on the MNPs.
BSA coated MNPs have been used to magnetize mouse embryonic fibroblasts (MEF), rat placental cells (GH3), human cervical cells (HeLa), breast cells (MCF‐7) and liver (HepG2) cancer cells 28, 72 as well as the cell lines studied here, human prostate cancer (PC‐3) and lung fibroblasts (HFL‐1).
Magnetic cationic liposomes, comprising MNPs coated in lipid molecules, have been used to magnetize primary cells, such as neonatal foreskin keratinocytes, umbilical vein endothelium (HUVEC), dermal fibroblasts, aortic endothelial and smooth muscle cells, immortalized cell lines such as human retinal pigment epithelium (ARPE‐19), mouse fibroblasts (NIH 3T3) and myoblasts (C2C12), stem cells such as human bone marrow mesenchymal stem cells (MSCs), mouse hepatocytes and canine urothelial cells 33, 34, 35, 36, 37, 38, 40, 73, 74, 75.
Hydrogels, comprising of gold, filamentous bacteriophages and MNPs have been used to label human astrocytes, glioblastoma cells (LN‐229 and U‐251MG), pulmonary microvascular endothelium (PEC), bronchial epithelium (EpiC), pulmonary fibroblasts, tracheal smooth muscle and lung epithelial (A549) cells, and mouse preadipocytes (3T3‐L1), brain endothelium (bEND.3) and neural stem (C17.2) cells 17, 51, 52, 76. The method described has been commercialized by n3D Biosciences Inc. of Houston, TX, USA.
Pullulan coated MNPs have been used to magnetize telomerase‐immortalized primary human fibroblasts (hTERT‐BJ1) 77.
Dextran and silan coated MNPs have been used to magnetize human cerebral cortical neuronal (HCN‐2), mammary carcinoma (BT20) and colonic adenocarcinoma (WiDr) cell lines, primary fibroblasts obtained by punch biopsy and primary cells derived from a glioblastoma multiformae patient 78.
Silica coated MNPs have been used to magnetize mouse endothelial yolk‐sac (C166) cells 32.
Folic acid coated MNPs have been used to selectively magnetize folate overexpressing cancer cells, such as mouse melanoma (B16‐F0) and human cervical cancer (HeLa) cells 30.
While materials coating MNPs diminish their cytotoxicity and ensure rapid internalization, long term effects of MNPs are not yet fully established. This is a pertinent question when considering magnetic assembly as a means to develop tissues for implantation. As yet few studies have focused on long term effects in mice 79, 80 and these show that dextran coated MNPs, known to be internalized into cells initially 81, are thereafter retained as clusters in the liver and spleen. However, magnetite retention did not produce any morphological alterations or cell damage in the respective organs. Further, after about 3 months, iron was seen to be released from the MNPs, which may indicate elimination by reabsorption.
Acknowledgements
We thank Kathy Lowe of the Virginia‐Maryland Regional College of Veterinary Medicine for sample preparation and user training for SEM imaging, Kristi DeCourcy of the Fralin Life Science Institute at Virginia Tech for assistance with confocal imaging, Chris Winkler and the ICTAS Nanoscale Characterization and Fabrication Facility at Virginia Tech for TEM imaging of nanoparticles, Sonal Mazumdar, Sharavanan Balasubramanian and Richey Davis for access to and user training of DLS, Daniel Dudek for the use of fume hood in nanoparticle synthesis, Victoria Jarvis of the McMaster Analytical X‐Ray Diffraction Facility and Ahmed M Abdalla of the Department of Engineering Physics, McMaster University for XRD Analysis, Paul Dube of the Brockhouse Institute for Materials Research at McMaster University for SQUID magnetometry and Moanaro Biswas for helpful discussions. Part of this work was supported by a Natural Sciences and Engineering Research Council of Canada Discovery Grant.
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