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Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 rsif.royalsocietypublishing.org Research Cite this article: Rother J, BüchsenschützGöbeler M, Nöding H, Steltenkamp S, Samwer K, Janshoff A. 2015 Cytoskeleton remodelling of confluent epithelial cells cultured on porous substrates. J. R. Soc. Interface 12: 20141057. http://dx.doi.org/10.1098/rsif.2014.1057 Received: 22 September 2014 Accepted: 11 December 2014 Subject Areas: biomechanics, biophysics, biomaterials Keywords: porous substrates, MDCK-II cells, microrheology, atomic force microscopy, tension, cytoskeleton Author for correspondence: Andreas Janshoff e-mail: [email protected] Electronic supplementary material is available at http://dx.doi.org/10.1098/rsif.2014.1057 or via http://rsif.royalsocietypublishing.org. Cytoskeleton remodelling of confluent epithelial cells cultured on porous substrates Jan Rother1, Matthias Büchsenschütz-Göbeler2, Helen Nöding1, Siegfried Steltenkamp3, Konrad Samwer2 and Andreas Janshoff1 1 Institute of Physical Chemistry, University of Goettingen, Tammannstrasse 6, Göttingen 37077, Germany I. Institute of Physics, University of Goettingen, Friedrich-Hund Platz 1, Göttingen 37077, Germany 3 Research Center CAESAR, Ludwig-Erhard-Allee 2, Bonn 53175, Germany 2 The impact of substrate topography on the morphological and mechanical properties of confluent MDCK-II cells cultured on porous substrates was scrutinized by means of various imaging techniques as well as atomic force microscopy comprising force volume and microrheology measurements. Regardless of the pore size, ranging from 450 to 5500 nm in diameter, cells were able to span the pores. They did not crawl into the holes or grow around the pores. Generally, we found that cells cultured on non-porous surfaces are stiffer, i.e. cortical tension rises from 0.1 to 0.3 mN m21, and less fluid than cells grown over pores. The mechanical data are corroborated by electron microscopy imaging showing more cytoskeletal filaments on flat samples in comparison to porous ones. By contrast, cellular compliance increases with pore size and cells display a more fluid-like behaviour on larger pores. Interestingly, cells on pores larger than 3500 nm produce thick actin bundles that bridge the pores and thereby strengthen the contact zone of the cells. 1. Introduction Structure and function of eukaryotic cells heavily depend on their cellular microenvironment leading to a close coupling between cellular properties and the surroundings. Sensing of the environment is usually accomplished through a defined molecular contact between a protein network—the extracellular matrix (ECM)—and specified transmembrane proteins such as integrins that connect the ECM network to the cytoskeleton allowing the transmission of force. Adhesion of cells is the initial step that precedes cell spreading, proliferation, differentiation and cell–cell contact formation. Cellular adhesion determines the function and fate of eukaryotic cells to a much larger extent than initially expected. In particular, environmental cues such as those emanating from the substrate itself, like topography, elasticity or surface functionalization, govern a large number of cellular responses encompassing cell growth, gene expression, apoptosis all accompanied by substantial cytoskeletal remodelling [1]. Strikingly, also the differentiation of stem cells is guided by mechanical and adhesive properties of the culture dish [1]. Cells are capable of sensing the underlying substrate and respond to variations in elasticity or topography as first shown by Pelham & Wang [2]. Since then, many studies have shown an influence of substrate rigidity on cellular migration, proliferation, cell stiffness and even differentiation [3–5]. Cells gather information about mechanical properties of the surroundings via mechanotransduction [6–8], in which they sense their mechanical environment mostly via cell–cell or cell– substrate connections. These mechanosensory elements rely predominantly on the actin cytoskeleton. The actin cytoskeleton is tightly linked to the membrane and is able to generate forces via motor proteins of the myosin family. It is therefore conceivable that the amount of tension that can be generated due to the deformability of the substrate is responsible for the integration of the mechanical signal. While the impact of substrate stiffness on cell morphology and more particularly on cell adhesion has been well examined, less attention has been paid to substrate & 2015 The Author(s) Published by the Royal Society. All rights reserved. Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 2.1. Substrates Substrates with pore diameters of 0.45, 0.8, 1.2 and 2 mm were purchased from fluXXion B.V. (Eindhoven, The Netherlands). The porous membrane of these substrates consists of silicon nitride 2.2. Cell culture All experiments were carried out using epithelial Madin – Darby canine kidney cells (MDCK-II cells) purchased from the Health Protection Agency (Salisbury, UK). The cells were cultured in minimal essential medium with Earle’s salts (Biochrom, Berlin, Germany) containing 4 mM L-glutamine, 2.2 g l21 NaHCO3 and 10% FCS (M10F medium) at 378C in a 5% CO2-humidified incubator. Confluent cell layers were subcultured weekly by trypsinization (Biochrom). For experiments, substrates were placed into a Petri dish (2.5 cm, TPP, Switzerland). Cells were seeded in a density of 500 000 cells per Petri dish and incubated for 2 days at 378C in a 5% CO2-humidified incubator. Experiments were carried out in M10F medium supplemented with penicillin – streptomycin and HEPES. For actin depolymerization experiments, the medium additionally contained 2 mM cytochalasin D (see the electronic supplementary material). 2.3. Atomic force microscopy Atomic force microscopy (AFM) experiments were carried out using a MFP-3D (Asylum Research, Santa Barbara, CA, USA) set-up equipped with a BioHeater mounted on an inverted Olympus IX 51 microscope (Olympus, Tokio, Japan). MLCT cantilevers (C-lever, nominal spring constant 10 pN nm21, length 200 mm, tip height 8 mm, Bruker, Camarillo, CA, USA) with a pyramidal tip were used for imaging and force spectroscopic experiments. Prior to each experiment, the spring constant of the cantilever and the hydrodynamic drag force acting on the cantilever were determined on a flat glass slide. The spring constant was calibrated using the thermal noise method [17]. The hydrodynamic coefficient was calculated by a method previously described by Alcaraz et al. [18]. Afterwards, the glass slide was replaced by the substrates used for cell culturing. A homemade holder of spring steel fixed the substrates during measurement inside the BioHeater. The temperature was set to 378C throughout measurement. Before each force spectroscopic measurement, the area of interest was imaged in contact mode (constant force, see figure 1). Force spectroscopy and frequency-dependent rheological data were acquired by the cantilever approaching the surface with a velocity of 3 mm s21. When the pre-set cantilever deflection was reached, the z-piezo movement was stopped for 0.5 s before it was excited to oscillate with frequencies between 5 and 100 Hz at small oscillation amplitudes (Ad ¼ 40 nm, peak to peak). After an additional quiescent period of 0.5 s, it was retracted from the surface. Per area of interest, 1024 of these force–distance curves where recorded in a 32 32 point grid, thus the individual positions where the force curves have been measured have a distance of 2 mm. Each experiment has been independently conducted at least two times probing several cells. 2 J. R. Soc. Interface 12: 20141057 2. Material and methods and displays a regular hexagonal pore pattern (figure 1, insets). The porosity varies between 20% and 30%. To produce substrates with larger pore diameters (3.5 mm, 5.5 mm, we used (1-0-0) oriented SOI wafers as described previously [16]. To achieve a hydrophilic surface, the pores were covered with a SiO2 layer of 500 nm thickness by means of wet-thermal oxidation. After cleaning the substrates in argon plasma, they were coated with a 30– 35 nm thick gold layer by argon sputtering (Balzers, BAE 250 coating system) or were first sputtered with a thin titanium layer (Cressington 108auto Sputter coater, Watford, UK) and goldcoated afterwards (BAL-TEC MED 020 Coating System). Before use, the substrates were sterilized in pure ethanol and incubated with cell culture medium before inoculation of the cells. rsif.royalsocietypublishing.org topography of rigid surfaces. Especially in the context of cell attachment and growth on implant materials, surface roughness and topography are decisive parameters that might foster or reduce the degree of differentiation and polarization of epithelial cells. Numerous hard materials ranging from metals to silicon are used by the healthcare industry to serve as artificial joint replacements, stents or dental implants. Surface treatment to change the roughness has been proved to modulate adhesion of cells, cytokine release and gene expression of osteoblastic cells [9]. Spatz and co-workers [10] used colloidal lithography to provide specific attachment sites for integrins in a defined geometry, thus addressing topographical effects on the nanoscale. The study helped to shine light on the universal length scale that defines the optimal spacing of RGD sequences found in ECM proteins such as collagen to match the intrinsic spacing of integrins in the basal cell membrane. Recently, it has also been found that topographical cues can determine the fate of stem cell differentiation [11,12]. Additionally, the response of cells to their environment depends heavily on the cell type. So far, mostly mesenchymal cells such as fibroblasts have been studied. These cells have been demonstrated to bridge non-adhesive areas via actin stress fibres and myosin II [13]. Similarly, growths of epithelial cell monolayers over large nonadhesive gaps simulating wound healing of skin have been shown to rely on tension generated by the actomyosin network [14]. Supports of microneedles or pillars used for traction force microscopy also show that cells can span large non-adhesive areas connected via contractile elements [15]. Consequences of substrate topography for cell morphology, polarity and mechanics in established cell monolayers have only sparsely been addressed, although surface topology is crucial to identify the right scaffolds for epithelial tissue engineering that requires a fundamental understanding how cell adhesion and mechanics are coupled to environmental cues and how cells respond collectively to changes in substrate topography. Here, we systematically investigated the morphological and viscoelastic properties of MDCK-II cells grown to confluence on hard porous substrates with varying pore sizes. We found that cells generally appear softer and more liquid-like with increasing pore size up to 5.5 mm in diameter and remodel their actin cytoskeleton to span larger pores. Additionally, cells generally become smaller and higher when grown on pores. Cultured on substrates with pore sizes larger than 5 mm in diameter, MDCK-II cells mirror the cubic organization of the underlying substrate and also display a larger amount of excess surface area and localization of ezrin only at the apical membrane of the cells. The study shows how subtle changes in substrate topography substantially influence the morphology and mechanics of epithelial cell layers by forcing the cell to remodel the actin cytoskeleton in response to the altered environment. As softness and morphology of the cells can be adjusted by changing the porosity and pore size of the surface, it is conceivable to use this technique also in implants, stents and wound healing to adapt to the biological requirements. Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 0.45 mm plain 3 0.80 mm rsif.royalsocietypublishing.org 2 0 –2 2 0 –2 2 0 –2 height (mm) 1.20 mm 3.50 mm 2 0 –2 5.50 mm 2 0 –2 0 10 20 30 40 position (mm) 50 60 J. R. Soc. Interface 12: 20141057 height (mm) 10 mm 0 10 20 30 40 position (mm) 50 60 2 0 –2 0 10 20 30 40 position (mm) 50 60 Figure 1. Morphology of MDCK-II cells grown on substrates with different pore sizes. Images show AFM deflection maps of the cell surface of living MDCK-II cells. The diagrams below are height profiles of the cells shown in the picture (red line, average over five scan lines). Inlets show 10 10 mm2 AFM height images of the porous substrates (approx. twofold magnification compared with the corresponding deflection images of the cell surface). (Online version in colour.) 2.3.1. Tension model A selection of force–indentation curves, obtained from the centre of the cell, was chosen from the overall 1024 force–distance curves per force map. The selection was necessary to avoid artefacts from the underlying substrate and cell boundaries. Additionally, force– distance curves, which show a mechanical instability, were also excluded from the analysis. Each force curve was subject to fitting with the parameters of the liquid droplet model as detailed previously [19,20]. In brief, the shape parameters R1, which describe the morphology of the cell (subconfluent state) or the apical cap of the cell (confluent state), were obtained from AFM height images before indentation (see also electronic supplementary material, figure S3). The obtained parameters are compiled in the electronic supplementary material, table S1. The actual shape of the parametrized cell surface was computed at every indentation depth assuming constant volume. The fitting procedure relies on a Simplex algorithm and provides the overall tension T0 comprising membrane and cortical tension and the apparent area compressibility modulus K~A that reflects excess membrane area, i.e. smaller values indicate the presence of a higher amount of excess membrane area. amplitude (40 nm) at frequencies ranging from 5 to 100 Hz. The resulting force response F(v) and the corresponding change of indentation depth d(v) are measured. Applying a linearized contact mechanical model, the complex shear modulus G*(v) can be calculated from the ratio of F(v) and d(v) 1n F(v) (2:1) G (v) ¼ ivb0 , 3 d0 tan (fhalf ) d(v) where n is the Poisson ratio, d0 is the indentation depth before the oscillation, fhalf is the half opening angle of the cantilever tip and b0 is the drag coefficient. The resulting values for the complex shear modulus were fitted using the power-law structural damping model [21] a 2 v G (v) ¼ G0 1 þ i tan þ ivm, (2:2) pa v0 with the scaling factor G0, the power-law coefficient a and an Newtonian viscosity m and frequency v0 that was kept constant at a value of 1. 2.4. Fluorescence staining 2.4.1. Actin staining 2.3.2. Microrheology Rheology maps of confluent MDCK-II cells cultured on substrates with different pore sizes were obtained using a method previously described by Alcaraz et al. [21]. During indentation, the cantilever is excited sinusoidally at its base with small MDCK-II cells grown on different substrates were washed in phosphate buffered saline (PBS) and afterwards fixed for 15 min at room temperature using a 4% paraformaldehyde solution in PBS (FLUKA, Switzerland). After fixation, the samples were washed two times with PBS and stored under PBS at 48C Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 The cells were grown for 2 days on the corresponding substrate and then fixed as described in §2.4 using paraformaldehyde (PFA). Prior to labelling, the samples were washed two times with washing buffer (0.1% BSA (Sigma-Aldrich) in PBS) and incubated for 30 min in blocking buffer (5% BSA, 0.3% Triton-X-100 in PBS) at room temperature. After rinsing the sample three times with PBS, cells were incubated with mouse anti-ezrin antibody (5 mg ml21, BD Biosciences) for 1 h at room temperature. In the next step, the cells were again rinsed three times for at least 5 min using PBS and then treated with the secondary antibody (5 mg ml21 AlexaFluor546-coupled goat anti-mouse, Invitrogen) for 1 h. After staining ezrin and rinsing three times, ZO-1 was stained using an AlexaFluor488-coupled mouse anti-ZO-1 antibody (5 mg ml21, Invitrogen, 339188). Finally, the sample was washed three times and DNA was stained using a 50 ng ml21 solution of DAPI. All antibodies and DAPI were solved in a PBS buffer containing 1% BSA, 0.3% Triton-X. Electronic supplementary material, figure S7, shows MDCK-II cells grown in part on the porous region of the substrate and in part on the flat region. The samples were imaged using a LSM710 confocal laser scanning microscope (Zeiss, Göttingen, Germany) equipped with a 63 objective (Zeiss) and an Argon-LASER (LASOS Lasertechnik GmbH, Jena, Germany). The open source software FIJI (homepage: www.fiji.sc) was used for image representation. 2.5. Scanning electron microscopy and image analysis MDCK-II cells grown on different substrates were washed with PBS before they were treated for 2 min with a 4% Triton X-100 solution in PBS. After rinsing the samples in PBS, the cells were fixed using a 2.5% glutardialdehyde solution (Acros Organics, Belgium) in PBS. The samples were incubated for 1 h at room temperature. Then cells were again washed in PBS and dehydrated using an ethanol series with an increasing ethanol proportion (50%, 70%, 80% and 90%). The samples were incubated in each ethanol solution for 1 h at room temperature and stored overnight in ethanol p.a. at 48C. Finally, the samples were dried using a gentle nitrogen stream and subsequently coated with a 5 nm gold layer by argon sputtering. Line densities of filaments were determined by analysing SEM images of the same category. For each pore size, a spatially linear sequence of at least 20 images was recorded. Furthermore, lines with an average length of 2 mm and random orientation were drawn into each image. Finally, the number of single filaments crossing an individual line was counted yielding the line densities in 1 nm21. This was repeated for at least 100 lines resulting in line density distributions for the different pore sizes (see figure 3 and electronic supplementary material). 2.6. Finite-element simulation In fluorescence images of the actin cytoskeleton of MDCK-II cells grown on 5.5 mm pores, we observed that many pores were 3. Results MDCK-II cells were grown to confluence on substrates displaying regular pores ranging from 0.45 to 5.5 mm in diameter. Morphology, cytoskeleton organization and viscoelasticity of MDCK-II cells were investigated by techniques with high spatial resolution to quantify how substrate topography is mirrored in cellular structure and mechanics. Notably, MDCK-II cells grow on all substrates to confluence bridging the pores. 3.1. Morphology of MDCK-II cells grown on flat and porous substrates MDCK-II cells belong to normal epithelia. They polarize when cultured on a Petri dish and exhibit a high density of cell –cell contacts (tight junctions), which is also expressed in a high barrier resistance (RB) of 30 V cm2 measured by electric cell –substrate impedance sensing [22]. Figure 1 shows the influence of substrate topography on the morphology of confluent MDCK-II cells. MDCK-II cells grown on the goldcoated, non-porous glass substrate possess an ordinary cobblestone-like morphology with well-developed cell –cell contacts and have a size of approximately 20 20 mm2. ECM proteins deposited on a preformed cysteine monolayer mediate adhesion of cells. The line profile shows rather flat cells with a height difference of 1.5 mm from cell– cell contacts to their highest point at the centre of the cell. With increasing pore size from 0.45 to 5.5 mm, an increase in the average height of the apical cap and a decrease in the spreading area of the MDCK-II cells can be observed. If cells are grown on a substrate with a pore size of 5.5 mm in diameter, they exhibit a height difference from their lowest point in the cell periphery to their highest point of more than 3 mm. At the same time, the cell’s footprint decreases to an area of 13 13 mm2. A similar trend has been observed for vascular endothelial cells [23]. It should be noted that it is not possible to determine the overall cell height from substrate to apex with AFM-contact imaging but only the height of the apical cap of the cell. However, confocal laser scanning microscopy images (z-stacks) reveal that MDCK-II cells cultured on pores are generally higher than those cultured on flat substrates (see also table 1) [24]. 3.2. Structure of the actin cytoskeleton Actin filaments are stained using AlexaFluor546-labelled phalloidin and imaged by confocal laser scanning microscopy. Figure 2 shows the structure of the actin cytoskeleton at the basal level of MDCK-II cells cultured on substrates with different pore sizes. On the flat surface, the actin cytoskeleton is well developed (figure 2a). A large amount of stress fibres, which traverse the entire length of the cells, is observable. By contrast, 4 J. R. Soc. Interface 12: 20141057 2.4.2. Ezrin and ZO-1 staining interconnected by two distinct thick actin bundles. To find an explanation for this effect, we conducted finite-element analysis. For numerical simulations, we used COMSOL multiphysics (Göttingen, Germany). A long, 200 nm thin sheet crossed by two orthogonal sheets simulated the actin cytoskeleton. The sheet’s elastic modulus was set to 1 MPa and the Poisson ratio to 0.49. To account for the pores, we drew circular holes at the two crossing points of the three sheets. An isotropic inwards-directed pressure of 5 Pa was applied to the boundaries of the pores. rsif.royalsocietypublishing.org for a maximum of 3 days. Prior to labelling, the samples were washed two times with washing buffer (0.1% bovine serum albumin (BSA, Sigma-Aldrich, Munich, Germany) in PBS) and incubated for 45 min in blocking buffer (5% BSA, 0.3% TritonX-100 in PBS) at room temperature. To stain actin filaments, samples were incubated for 1 h at room temperature with 165 nM solution of AlexaFlour546-labelled phalloidin (Invitrogen, Germany) in dilution buffer (1% BSA, 0.3% Triton-X-100). After incubation, cells were rinsed two times for 5 min in washing buffer. To label DNA, samples were treated with a 25 ng ml21 solution of 40 ,6-diamidino-2-phenylindole (DAPI, Sigma-Aldrich) in PBS for 10 min at room temperature. Finally, samples were washed two times with PBS for 5 min. Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 Table 1. Cell height of MDCK-II cells cultured on substrates with different pore size (diameter) measured by confocal laser scanning microscopy. 5.6 + 0.9 5.9 + 0.7 0.80 mm (n ¼ 20) 1.20 mm (n ¼ 20) 4.6 + 0.8 6.5 + 0.9 3.50 mm (n ¼ 20) 6.3 + 2.2 5.50 mm (n ¼ 20) 5.5 + 0.9 cells grown on pores show reduced fluorescence intensity on the porous regions (figure 2b–f ). The number of stress fibres traversing the cell also decreases with increasing pore size. Strikingly, however, we observe an accumulation of f-actin inside the largest pores (5.5 mm and occasionally also in 3.5 mm pores), which is expressed in periodically occurring bright spots indicating the position of the pores (figure 2f ). Pores covered by a single cell are interconnected by thick actin fibres producing a square pattern, where the pores are located at the corners. Many of the interconnections have been found to consist of two thick actin bundles (figure 2h,i). Finite-element simulations show an increased stress at the outer regions of an interconnection between two pores giving a possible explanation for the observed effect. We assume that tension of the actomyosin network needed to span the pores leads to formation of two actin bundles on the pore rim to sustain the stress. The actomyosin filaments inside/over the pores might also release tension in the membrane by pulling the attached membrane to the pore centre as opposed to the gradient in free energy that generates stress in the opposite direction. Interestingly, at subconfluent regions, we did not observe actin aggregates inside large pores in cells close to cell-free areas of the substrate (see electronic supplementary material, figure S8). Instead, actin fibres were spanning through the whole cell. This might be an indication for the incomplete process of polarization. To confirm and quantify our findings of a reduced or remodelled actin cytoskeleton in cells cultured on porous substrates, we used scanning electron microscopy. By rinsing the samples in a detergent solution before fixation and dehydration, we were able to uncover the cytoskeleton of MDCK-II cells. Analysis of the filament thickness indicates that predominantly actin filaments are visible in the electron micrographs. Microtubules were not found, although we cannot exclude that intermediate filaments are still present. The structure of filaments found in our measurements resembles strongly the structure of actin filaments found by Svitkina using a similar preparation protocol including actin stabilization by phalloidin [25]. The filaments have a thickness of 13 + 4 nm, which corresponds well to the expected thickness of actin fibres covered by a thin gold layer of approx. 5 nm on the filaments (see electronic supplementary material, figure S1). Figure 3 shows representative scanning electron micrographs of MDCK-II cells grown on a substrate with 0.8 mm pores. In figure 3b,c, the perinuclear region of a cell grown on the flat part of the substrate and of a cell grown on the porous part can be seen. A dense network of filaments traverses the whole cell. Magnifications are depicted 3.3. Cellular mechanics To determine the influence of different pore sizes on the cellular mechanics, we conducted AFM force–indentation curves and AFM-based microrheological experiments. Force–distance curves were described quantitatively using a modified tension model first introduced by Sen et al. [19] and refined by Pietuch and colleagues [20,28] as this model has been shown to be indenter invariant and delivers more universal mechanical parameters compared with the Hertz, Sneddon or comparable contact mechanical models neglecting the shell structure of the cells [19,20,28]. The tension model describes the cell as an isotropic elastic shell with a constant surface tension. The model assumes that the restoring force originates solely from a tension T, which is the sum of the cortical and the membrane tension T0 and a dynamic contribution from stretching of the plasma membrane (equation (3.1)). The contribution of stretching to the tension is dependent on the projected cell surface area A0 and the area compressibility modulus KA, which needs to be replaced by the apparent area compressibility ~ A if the projected cell surface area is smaller than modulus K the actual cell surface area due to folds and wrinkles in the membrane in the nanometre scale T ¼ T0 þ KA DA A0 (3:1) and ~ A ¼ KA K A0 : A0 þ Aex (3:2) A0 is the projected cell surface area before indentation, DA is the change of surface area due to stretching and Aex is the area of the excess membrane. If the excess cell membrane ~A stored in folds like caveolae or microvilli is very small, K approaches KA. T0 dominates the tension at low indentation depth, while at large strains stretching of the membrane becomes the main contributor to the overall tension—a consequence of the inextensibility of lipid bilayers. As a consequence, the restoring force increases nonlinearly with the indentation depth. Recently, Pietuch et al. [29] showed that isolated apical membrane sheets display the same mechanical J. R. Soc. Interface 12: 20141057 flat (n ¼ 20) 0.45 mm (n ¼ 17) 5 rsif.royalsocietypublishing.org h + s.d. (mm) in figure 3d,e. In the case of the cell grown on the porous part, the network is less dense (figure 3c,e). Additionally, we determined the line density of the actin network. The distribution of line densities as a function of substrate topography is shown in figure 3f. The line density allows a rough estimate of the network density. We observe a minimum in the line density of actin filaments for cells grown on the 0.8 mm pores. A value of 0.014 nm21 found for cells grown on flat surfaces corresponds to an average filament-to-filament distance of 71 nm, which is in good agreement with mesh sizes of the actin network found for other cells [26]. Cells cultured on a flat support exhibit a significantly denser network compared with cells grown on porous supports. Micrographs of cells grown on the different substrates can be found in electronic supplementary material, figure S2. The images show that in all cases, the actin network covered the pores. In the case of the larger pores, the actin is located slightly under the plane of the pore rims. The reason for this might be that the cells extend into the pore interior ( partial wetting the pore interior) if pores are large enough (see also Scheme in figure 7) [27]. Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 (a) (b) porous non-porous (d) 3.50 mm (e) 5.50 mm (f) non-porous non-porous porous porous (g) (h) (i) (j) intensity (arb. units) 120 100 80 60 40 20 0 –2 –1 0 x-position 1 2 Figure 2. (a – f ) Confocal micrographs of MDCK-II cells grown on substrates with different pore sizes. Images show the actin cytoskeleton (Alexa-Fluor546-labelled phalloidin, Invitrogen) of the cells at the level of the pores ( pseudocoloured) and corresponding orthogonal views below (scale bar, 20 mm). (g) Confocal micrograph of the actin cytoskeleton of MDCK-II cells grown on 5.5 mm substrates above pore level (grey scaled). (h) Magnification showing an area of six pores (green filled circles). (i) Line profiles of the interconnections between pores shown in H (grey lines) and mean intensity value (red squares, mean + s.d.). ( j ) Finiteelement simulation of a thin elastic sheet representing the actin cytoskeleton between two pores. Pores are represented by holes in the sheet at the crossing. Black lines indicate shape of the sheet before deformation. An inward-directed pressure (arrows) is applied to the pore boundaries causing deformation and occurrence of stress compensating tension in the membrane. Blue colour indicates low stress, green and yellow intermediate stress and red high stress). (Online version in colour.) properties in response to indentation as living cells. Apical membranes were removed from confluent living MDCK-II cells and placed on a porous mesh. The plasma membrane patches were subject to indentation with an AFM tip and the force curves fitted with a tension model neglecting bending resistance. Area compressibility modules were similar than those found for living cells suggesting that the tension model used in this study is appropriate for polarized confluent cells. It was also demonstrated that contact models such as those based on Hertzian mechanics fail to deliver results independent of indenter geometry. Indenting one and the same cell with two different indenters (sphere and pyramid) attached to an AFM cantilever produced apparent Young’s modules originating from fitting the contact models to the indentation curves that are over one order of magnitude apart. By contrast, applying the tension model to fit the indentation curves gave almost identical results (pre-stress and area compressibility modulus) for both indenter geometries [29]. Schneider et al. [20] J. R. Soc. Interface 12: 20141057 non-porous 1.20 mm 6 rsif.royalsocietypublishing.org porous (c) Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 counts counts (d) 30 20 10 0 30 20 10 0 30 20 10 0 (e) E 2 mm 450 nm 800 nm 1200 nm 3500 nm 5500 nm 0 0.005 0.010 0.015 0.020 line density (nm–1) 0.025 Figure 3. Scanning electron micrographs of the cytoskeleton of MDCK-II cells grown on a porous substrate (0.8 mm pores). (a) Overview of the area. White rectangles mark the areas shown in (b,c). Panels (d ) and (e) show the area marked with the rectangle in (b) and (c), respectively. (f ) Line densities of actin cytoskeleton for MDCK-II cells grown on substrates with different pore sizes obtained from scanning electron micrographs. (Online version in colour.) (a) (b) 400 0.35 T0 = 0.30 mN m–1 ~ KA = 0.12 N m–1 0.30 T0 (mN × m–1) F (pN) 300 200 0.20 0.15 T0 = 0.11 mN m–1 100 0.25 ~ KA = 0.06 N m–1 0.10 0 0 0.4 0.8 d (mm) 1.2 1.6 0 1 2 3 4 pore diameter (mm) 5 Figure 4. (a) Exemplary force – distance curves of MDCK-II cells grown on flat substrates (grey dots) and on porous substrates (magenta triangles, 5.50 mm pores). Force distance curves were fitted using the liquid droplet model (continuous lines). (b) Pre-stress T0 as a function of pore diameter. (Online version in colour.) as well as Pietuch et al. [28] found that individual cells not being part of a confluent monolayer display different mechanical properties as those found for confluent cells. In single cells, the whole cell seems to participate in the mechanical response and stress fibres generate appreciably higher tension. The tension measured for single cells was found to be almost one order of magnitude larger than the cortical tension measured for cells within a confluent monolayer. To model the force –distance curves with the tension model above, the projected cell surface area needs to be calculated using the parametrization described by Sen et al. [19] The radius of the cap (apical surface of cells), R1 and the contact angle w are determined from AFM– images (see figure 1 and electronic supplementary material, figure S3). Assuming that both, the curvature and the volume stay constant during indentation, one can calculate the restoring force F for different indentation depths. The mechanical parameters T0 and ~ A can thus be obtained by fitting the result to the measured K force –indentation curves. Figure 4a exemplarily shows two force –indentation curves for MDCK-II cells cultured on flat substrates (grey circles) and substrates with 5.5 mm pores (magenta triangles). We generally observed that cells grown on the flat surface show a steeper increase of the force with increasing indentation depth compared with cells on porous substrates. At small indentation, depth cells grown on larger pores show a weaker increase of force and therefore a lower cortical tension. This observation is reflected in changes of the tension T0, which is the sum of membrane and cortical tension as the dominating contribution and thus the response to externally applied forces (equation 7 J. R. Soc. Interface 12: 20141057 (c) 30 20 10 0 counts 2 mm 30 20 10 0 counts 5 mm plain 20 10 0 rsif.royalsocietypublishing.org counts ( f ) 30 D counts (b) (a) Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 (a) (b) (c) 8 3.0 rsif.royalsocietypublishing.org 2.5 103 (G¢¢/G¢) G¢¢ (Pa) G¢ (Pa) 103 b = 1.00 b = 0.23 102 2.0 1.5 1.0 0.5 102 10 100 1 10 f (Hz) 100 1 f (Hz) 10 100 f (Hz) Figure 5. (a,b) Real part G 0 (a) and imaginary part G 00 (b) of the complex shear modulus as a function of frequency f. The grey circles represent data from MDCK-II cells cultured on flat substrates, while the magenta triangles are obtained from samples with 5.5 mm-sized pores. Lines show the fits of the frequency-dependent complex shear modulus by the power-law structural damping model. Parameters are compiled in table 2. (c) Loss tangent (G 00 /G 0 ) of cells cultured on the two samples (grey circles: flat substrate; magenta triangles: 5.50 mm pores) as a function of oscillation frequency. Data (median values) are obtained from more than 100 curves. The corresponding lines are the fits of the power-law structural damping model. (Online version in colour.) Table 2. Mechanical parameters of MDCK-II cells grown on porous substrates with different pore size (diameter). liquid droplet model AFM-based microrheology image analysis T0 + s.d. (mN m21) KA,app + s.d. (Nm21) G0 + s.e. (Pa) a + s.e. m + s.e. (Pa s) line dens. + s.d. (nm21) flat 0.31 + 0.07 0.15 + 0.11 188 + 21 0.25 + 0.02 1.9 + 0.1 0.014 + 0.003 0.45 mm 0.28 + 0.08 0.05 + 0.04 128 + 9 0.25 + 0.01 1.81 + 0.04 0.011 + 0.002 0.80 mm 1.20 mm 0.28 + 0.08 0.18 + 0.08 0.05 + 0.05 0.14 + 0.11 127 + 26 137 + 27 0.31 + 0.04 0.30 + 0.03 1.7 + 0.2 2.7 + 0.2 0.008 + 0.002 0.010 + 0.002 2.00 mm 3.50 mm 0.19 + 0.07 0.21 + 0.08 0.07 + 0.04 0.08 + 0.10 180 + 9 134 + 15 0.21 + 0.01 0.23 + 0.02 2.55 + 0.03 1.72 + 0.06 n.a. 0.011 + 0.002 5.50 mm 0.11 + 0.05 0.05 + 0.02 120 + 37 0.26 + 0.05 2.0 + 0.2 0.011 + 0.002 (3.1)) at low indentation depth. T0 decreases monotonically when cells are cultured on substrates with increasing pore diameter (figure 4b). Also, the apparent area compressibility ~ A decreases with increasing pore size, indicative modulus K of the presence of excess membrane area (table 2). This behaviour can be directly guessed from the fact that the slope of the force –indentation curves at high indentation depths for cells on larger pores is lower than that of cells cultured on the plane surface (figure 4a). Time- and frequency-dependent mechanical data are obtained by AFM-based microrheological experiments. The method first described by Shroff et al. [30] uses small amplitude oscillations of the cantilever, which is in contact with the sample. By application of a contact mechanical model the complex shear modulus G* can be calculated [31,32]. The real part of the complex shear modulus G 0 , the storage modulus, represents the energy stored in the sample during oscillation of the cantilever. The energy that is dissipated during the measurement is represented by the imaginary part of the complex shear modulus G 00 and is therefore called loss modulus. In figure 5a,b, G 0 and G 00 are exemplarily shown as a function of the oscillation frequency f for MDCK-II cells cultured on flat substrate (grey circles) compared to cells cultured on substrates exhibiting 5.5 mm pores (magenta triangles). At all frequencies, the cells cultured on flat substrates appear stiffer than those grown on porous samples. In general, G 0 increases according to a weak power law with the frequency (linear increase in an double logarithmic diagram), whereas G 00 shows a stronger dependency on the oscillation frequency, which leads to a crossing point of G 0 and G 00 at a certain frequency. At this crossing point, the oscillation of F(v) and d(v) are 458 (or p/2) out of phase and both quantities, G 0 and G 00 , exhibit the same value. Therefore, the loss tangent (G 00 /G 0 ) equals 1 at this frequency. A loss tangent smaller than 1 means that G 0 . G 00 and the elastic properties of the sample dominate the rheological behaviour. Inversely, if G 0 , G 00 , the loss tangent exceeds 1 and viscous properties dominate the rheology of the cells showing a more fluid-like behavior. For MDCK-II cells grown on a flat surface the crossing point of G 0 and G 00 is found at a frequency of around 40 Hz (figure 5c, grey), while cells grown on large pores the crossing point is found already at 20 Hz (magenta). Generally, we found that for cells cultured on porous substrates the frequency, at which G 0 and G 00 match, is smaller as G 00 is largely unaffected by the substrate, especially at higher frequency. Thus, cells cultured on porous substrates show a more fluidlike behaviour at smaller frequencies compared with cells on a non-porous support. We used the power-law structural J. R. Soc. Interface 12: 20141057 0 1 0.016 180 0.014 160 0.012 140 0.010 120 0.008 100 line density (nm–1) 200 0.006 1 2 3 4 pore diameter (mm) 5 Figure 6. G0(Pa) from the power-law structural damping model (blue circles) and the measured line density (nm21) of the cytoskeleton (green squares) as a function of pore size. The dotted line is just to guide the eye. (Online version in colour.) damping model, first used by Fabry and colleagues to analyse the spectra of G* in cellular microrheology [21,33,34]. Table 2 summarizes all parameters of the power-law structural damping model obtained from fitting the spectra as described recently [32]. Explicitly, we find a power-law coefficient a between 0.2 and 0.3 for all samples (table 2) [33]. The scaling factor G0 shows a similar trend as the storage modulus. Cells on a flat substrate exhibit the highest value (188 + 21 Pa), cells grown the substrate with the 5.5 mm pores exhibit the lowest value (120 + 37 Pa). Figure 6 shows that a correlation (Pearson correlation coefficient r ¼ 0.81) between the scaling factor G0 and the line density of actin filaments obtained from SEM analysis exists. The expression level of the actin network is obviously responsible for the reduced stiffness found in microrheology experiments of cells cultured on pores. 4. Discussion In this study, we investigated the influence of macroporous materials on confluent epithelial cells. These materials either simulate the influence of an ECM consisting of adhesive fibres separated by micrometre-sized gaps or ceramic or metallic implant materials on the response of adherent cells to structural heterogeneity of their environment [13]. First, we investigated the impact of the substrate on the morphology of cells grown to a confluent monolayer. Figure 1 shows the apical surface of MDCK-II cells on substrates with varying pore sizes imaged by AFM. The line profiles show a height increase of the apical cap when cells are cultured on macroporous substrates. Additionally, cells on larger pores occupy a smaller area, which might be due to a decrease in spreading rate due to the limited surface area and/or an increase in proliferation rate like it has been previously shown for hepatocytes cultured on mesoporous anodized aluminium oxide [35]. Hoess et al. used substrates with pore sizes ranging from 57 to 213 nm in diameter and found that the cells on larger pore diameters show a faster proliferation rate, which might also be the case in our experiments although the pores used in this study are in the macroporous range. An explanation for increased proliferation could be a more in vivo like situation concerning the additional 9 J. R. Soc. Interface 12: 20141057 0 nutrient supply also from the basal membrane when cells are cultured on porous material. The decrease in spreading area and the overall shape of the cell found in our experiments might be explained by surface energy considerations. On a flat hydrophilic surface, the reduction in surface free energy of a cell will be large. Thus, the contact angle will be small, which facilitates spreading of the cell. By removing up to 30% of the hydrophilic surface, the gain in free energy is reduced and the contact angle will become larger, which in turn leads to a higher cell body occupying a smaller area if the volume is conserved. Furthermore, we find that cells grown on a cubic pore pattern reproduce this pattern in cell layer organization. The long-range cubic pattern of the cells can also be confirmed by two-dimensional fast Fourier transform analysis of the corresponding AFM height image of the image in figure 1 (electronic supplementary material, figure S4). The obvious changes in cell morphology are accompanied by substantial changes in the cytoskeletal arrangement. On flat substrates MDCK-II cells form an f-actin network with thick stress fibres traversing the entire cell. Cells on porous substrates, however, show a reduced number of stress fibres, which are also shorter. But nevertheless, up to a pore size of 3.5 mm, the cells are still able to bridge the pores without tremendous remodelling of the actin network. Interestingly, the organization of the actin cytoskeleton changes dramatically from 1.2 to 5.5 mm pores. Cells cultured on 5.5 mm pores show dense actin aggregates inside pores (figure 2f). Occasionally, this effect is also found for cells cultured on 3.5 mm pores. We attribute this behaviour to an increase in tension of the actomyosin network, which is needed to span the pores. A similar behaviour was observed previously by Rossier et al. [13], who researched the growth of single fibroblasts on micropatterend substrates. The authors found that bridging between adhesive contacts is achieved by formation of large stress fibres. This bridging is dependent on active nonmuscle myosin II. Like in a chain bridge, it needs a certain tension of the actin fibres generated by myosin motors to span the distance from one side (of the pore) to the other (see also figure 2j). The larger the distance, the higher becomes the tension acting on the filaments. As a consequence, the cell suspends the pores by assembling a large number of actin filaments into strong networks. Additionally, thick actin bundles connect to the aggregates inside the pores on the pore rims. Most of them reach directly from one pore to another. Numerous aggregates are interconnected by exactly two thick actin bundles (figure 2g–i). To explain this phenomenon, we conducted finite-element simulations (figure 2j). The actin cytoskeleton is simulated by a cross shaped elastic material. The porous region is represented by the absence of the material. When applying an inwards-directed homogeneous pressure to the pore boundaries, the edges of the interconnections are the regions, which exhibit the highest stress values. This means for the natural system that these areas need to be strengthened by additional filaments. This supports our previous hypothesis that there is strong inwards-directed force, which might be produced by the contractile force exerted by myosin motorproteins. This high tension also requires a strong adhesion of the cells to the substrate in proximity to the pores. In epithelial cells or fibroblasts adhesion to the substrate is mainly realized by focal adhesion. Wu et al. [36] as well as Rossier et al. [13] observed an accumulation of focal adhesion contacts in regions next to pores or nonadhesive regions du Roure et al. [15] reported that MDCK rsif.royalsocietypublishing.org G0 /Pa Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 10 J. R. Soc. Interface 12: 20141057 previously observed this effect. The nutrient supply might enhance the functionality and polarity of epithelial cells, which in turn might lead to a larger number of microvilli on the apical membrane. Comparison of scanning ion conductance micrographs that allow real non-contact measurements of PFA-fixed MDCK-II cells grown either on a Petri dish or on a substrate with 1.2 mm pores also reveals an increased surface roughness of the cells grown on the solid substrate (see electronic supplementary material, figure S5) supporting the theory of an increased number of microvilli (for description of the experiment, see also the electronic supplementary material) or more precisely membrane protrusions and ruffles [37]. Additionally, we also compared the distribution of ezrin, a protein connecting the actin cytoskeleton and the membrane at the apical membrane of epithelial cells, in cells grown on 0.8 mm pores with cells on flat parts of the same substrates. Ezrin is found predominantly and strongly at the apical membrane if cells grow on the porous area, while it is more dispersed in cells cultured on flat substrates, i.e. ezrin is also found at the cell–cell contacts and at the basal side of cells. Furthermore, a large amount of ezrin is found in point-like structures in cells grown on the porous part indicative of microvilli. However, distribution of ZO-1 seems unaffected by the nature of the substrate (see electronic supplementary material, figure S7). Apart from force– indentation experiments, we also conducted microrheological experiments to capture changes in the viscoelasticity of the cells in response to substrate porosity as a function of frequency. At all measured frequencies, cells cultured on the non-porous support show the highest values in the real part of the complex shear modulus G0 , which is a measure for the elastically stored energy. MDCK-II cells grown on porous supports exhibit lower values in G 0 compared with cells grown on a flat surface. This observation corresponds to the lower actin densities found in SEM images for cells on porous supports and is along the same lines as the indentation data discussed above. Interestingly, the viscous properties of cells are less affected by growth on porous substrates. As a consequence, cells on porous substrates behave more fluid-like than cells on a flat support as the loss tangent (G 00 /G 0 ) is higher at all frequencies. Additionally, the observed line densities of actin filaments ~ A and G 0 , leading to (figure 3f ) show a similar trend as K the conclusion that the actin cytoskeleton is the main contributor to both mechanical parameters (figure 6). Notably, although G 0 of MDCK-II decreases, when cultured on porous substrates, the power-law exponent does not show a clear trend. One might expect that a decrease in cell stiffness is accompanied by a higher power-law exponent as it has been observed for several cell types treated with various drugs [33,38]. In our experiments, however, there’s a maximum power-law coefficient of 0.3 at 0.8 and 1.2 mm sized pores, while larger pores show smaller values comparable to those found on a flat substrate. This might be due to severe cytoskeleton remodelling (figures 2 and 3). In order to show that the contributions of the actin cytoskeleton are responsible for the observed effects, we treated cells on pores and on a flat substrate with cytochalasin D (see electronic supplementary material, figure S6). By administration of cytochalasin D, the actin cytoskeleton is disrupted. As expected for this case, G 0 decreases and shows a stronger dependency with the frequency. G 00 is also reduced at all frequencies. Comparison of cells grown on rsif.royalsocietypublishing.org cells cultured on micropillars indeed span the region between the posts. Interestingly, in confluent monolayers, the cells do not deflect the posts noteably. By use of a mild detergent, we were also able to uncover the cytoskeleton and visualize it using scanning electron microscopy (figure 3; and electronic supplementary material, figure S2). The images showed a reduction of cytoskeletal filaments in cells grown on porous substrates. These tremendous changes in cytoskeletal arrangement in response to substrate properties also have strong impact on cellular mechanics as shown in our force– indentation and microrheolgical experiments. The cortical tension of cells obtained from indentation experiments decreases with increasing pore diameter. Compared with cells cultured on 5.5 mm pores, the tension T0 of cells on a flat surface is increased by a factor of 3 to 4. The found tension value T0 of 0.30 mN m21 observed for cells grown on a flat surface is in good agreement with the tension value of 0.37 + 0.04 mN m21 found by us in previous experiments for MDCK-II cells cultured on a Petri dish [20]. The reduction of tension in cells cultured on pores could be the result of the reduced spreading area and the accompanying actin cytoskeleton rearrangement (reduced line densities in SEM images). While a well-spread cell exhibits a relatively high tension, cells showing a disturbed spreading behaviour would not be able to generate a high contractile force [28]. In this previous work, we could show that the cortical tension of freshly seeded cells is first low to facilitate spreading. With time, the cells started to spread and thereby the tension of the cell increased up to a constant value. This also fits to the observation that stress fibres, which are also important for the overall contractile tone of the cell, seem to be shorter or less pronounced on porous substrates. However, considering that the adherens belt efficiently separates apical from basolateral side, it is conceivable that stress fibres of a fully polarized cell do not contribute substantially to the mechanical response to indentation of the apical cap. A dominating effect might be a higher degree of polarization and changes in the cell’s size as mentioned above. Along the same lines, the findings of Pietuch et al. [29] investigating isolated apical membrane sheets deposited on a porous mesh suggest that contributions from stress fibre contraction to the mechanical response of the apical site might be of second order. Actin remodelling might also comprise removal of actin from the cortex and reassembly across pores. Taken together, the observed softness of cells cultured on porous substrate in comparison to confluent cells on stiff continuous substrates might originate from both a softer apical cap due to rearrangement of cortical actin as well as a less tension generated by the shorter and fewer stress fibres. ~ A, Looking at the apparent area compressibility modulus K we found a largely constant value of around 0.05 N m21 for cells grown on porous substrates. Cells grown on a flat surface exhibit a significantly higher value of 0.14 N m21. As discussed by Pietuch et al., K~A could be a measure for additional membrane area stored in folds, protrusions and wrinkles like caveolae (basal) or microvilli (apical). The cell itself uses these membrane reservoirs to increase its reactive surface on the one side but also to regulate its tension T as a response to changed environmental conditions and to prevent bilayer rupture on the other side. A decrease in K~A could be elicited by an increased number of microvilli, when MDCK-II cells are grown on porous substrates. Hoess et al. [35] have Downloaded from http://rsif.royalsocietypublishing.org/ on August 3, 2017 actin line density f-actin nucleus tension over pores 3.5 1.2 0.8 0.45 non-porous Figure 7. Scheme compiling the effects of culturing MDCK-II cells on various macroporous substrates. Cells decrease their spreading area with increasing pore diameter. This goes along with a reduction in cortical tension, which might be a consequence of a reduced contractile tone of the cell due to fewer and shorter stress fibres. Furthermore, on large pores the cells produce thick actin aggregates over the pores, which generate high tension. (Online version in colour.) the flat surface and on the porous support indicates that G 0 is reduced in both cases. Especially at low frequencies, both samples show comparable values in G 0 . At higher frequencies, cells on flat supports show a reduced storage modulus compared with cells on a porous substrate. We conclude that the main effect on cell mechanics that we observe, when cells are cultured on solid supports, results from remodelling of the actin cytoskeleton also affecting the availability of membrane reservoirs to buffer tension exerted on the cells. 5. Conclusion The extracellular environment is an essential mediator of cellular structure and function by providing biochemical and mechanical stimuli to influence single and collective cell behaviour. Through adhesion, cells sense the mechanical properties of the environment and translate this information into a signalling cascade, which regulates cellular responses such as spreading, migration and growth. While abnormal mechanotransduction is known to be responsible for a number of diseases, the robustness of how cells respond collectively to such stimuli is largely unexplored. Here, we provide structural and mechanical information about the impact of pore size on the mechanical response of confluent epithelial cells to substrates with defined topography. Interestingly, we found that the cells can distinguish even subtle changes in pore size and develop strategies to remodel their cytoskeleton in order to explore substrates with large pores that would prevent sufficient adhesion area otherwise by spanning and reinforcing the cytoskeleton of the free standing part. Cells on larger pores up to 5.5 mm respond to the reduced adhesion area and strain in the membrane by a comprehensive remodelling of the cytoskeleton especially in the vicinity of the pores. The cells invade into the pores, form a contractile actin aggregates and thereby manage to maintain an intact cell monolayer covering the entire area. Interestingly, the cell size and arrangement adapt to the underlying porous structure, which we attribute to a self-organization driven by minimizing the area of freestanding membrane over pores. The effect of culturing MDCK-II cells on substrates with different pore sizes are also illustrated in figure 7. A simple change in topography by adding pores to the surface results in a rich variety of phenotypes that partly also mimic softer material and might become an alternative to self-organize cells to a predefined morphology, which also effects cellular elasticity, without using biochemical cues or modifying the stiffness or surface functionalization of the substrate. Funding statement. Financial support of the DFG through CRC 937 (A14) is gratefully acknowledged. References 1. 2. 3. Levental I, Georges PC, Janmey PA. 2007 Soft biological materials and their impact on cell function. Soft Matter 3, 299 –306. 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