Intercellular Stresses Research Articles

Peeking into the future: inferring mechanics in dynamical tissues.

Cells exert forces on each other and their environment, shaping the tissue. The resulting mechanical stresses can be determined experimentally or estimated computationally using stress inference methods. Over the years, mechanical stress inference has become a non-invasive, low-cost computational method for estimating the relative intercellular stresses and intracellular pressures of tissues. This mini-review introduces and compares the static and dynamic modalities of stress inference, considering their advantages and limitations. To date, most software has focused on static inference, which requires only a single microscopy image as input. Although applicable in quasi-equilibrium states, this approach neglects the influence that cell rearrangements might have on the inference. In contrast, dynamic stress inference relies on a time series of microscopy images to estimate stresses and pressures. Here, we discuss both static and dynamic mechanical stress inference in terms of their physical, mathematical, and computational foundations and then outline what we believe are promising avenues for in silico inference of the mechanical states of tissues.

Disturbed fluid flow reinforces endothelial tractions and intercellular stresses

Disturbed fluid flow is well understood to have significant ramifications on endothelial function, but the impact disturbed flow has on endothelial biomechanics is not well understood. In this study, we measured tractions, intercellular stresses, and cell velocity of endothelial cells exposed to disturbed flow using a custom-fabricated flow chamber. Our flow chamber exposed cells to disturbed fluid flow within the following spatial zones: zone 1 (inlet; length 0.676–2.027 cm): 0.0037 ± 0.0001 Pa; zone 2 (middle; length 2.027–3.716 cm): 0.0059 ± 0.0005 Pa; and zone 3 (outlet; length 3.716–5.405 cm): 0.0051 ± 0.0025 Pa. Tractions and intercellular stresses were observed to be highest in the middle of the chamber (zone 2) and lowest at the chamber outlet (zone 3), while cell velocity was highest near the chamber inlet (zone 1), and lowest near the middle of the chamber (zone 2). Our findings suggest endothelial biomechanical response to disturbed fluid flow to be dependent on not only shear stress magnitude, but the spatial shear stress gradient as well. We believe our results will be useful to a host of fields including endothelial cell biology, the cardiovascular field, and cellular biomechanics in general.

A machine learning approach to predict cellular mechanical stresses in response to chemical perturbation

Mechanical stresses generated at the cell-cell level and cell-substrate level have been suggested to be important in a host of physiological and pathological processes. However, the influence various chemical compounds have on the mechanical stresses mentioned above is poorly understood, hindering the discovery of novel therapeutics, and representing a barrier in the field. To overcome this barrier, we implemented two approaches: 1) monolayer boundary predictor and 2) discretized window predictor utilizing either stepwise linear regression or quadratic support vector machine machine learning model to predict the dose-dependent response of tractions and intercellular stresses to chemical perturbation. We used experimental traction and intercellular stress data gathered from samples subject to 0.2 or 2 μg/mL drug concentrations along with cell morphological properties extracted from the bright-field images as predictors to train our model. To demonstrate the predictive capability of our machine learning models, we predicted tractions and intercellular stresses in response to 0 and 1 μg/mL drug concentrations which were not utilized in the training sets. Results revealed the discretized window predictor trained just with four samples (292 images) to best predict both intercellular stresses and tractions using the quadratic support vector machine and stepwise linear regression models, respectively, for the unseen sample images.

Extracellular matrix composition alters endothelial force transmission.

Extracellular matrix (ECM) composition is important in a host of pathophysiological processes such as angiogenesis, atherosclerosis, and diabetes, and during each of these processes ECM composition has been reported to change over time. However, the impact ECM composition has on the ability of endothelium to respond mechanically is currently unknown. Therefore, in this study, we seeded human umbilical vein endothelial cells (HUVECs) onto soft hydrogels coated with an ECM concentration of 0.1 mg/mL at the following collagen I (Col-I) and fibronectin (FN) ratios: 100% Col-I, 75% Col-I-25% FN, 50% Col-I-50% FN, 25% Col-I-75% FN, and 100% FN. We subsequently measured tractions, intercellular stresses, strain energy, cell morphology, and cell velocity. Our results revealed that tractions and strain energy are maximal at 50% Col-I-50% FN and minimal at 100% Col-I and 100% FN. Intercellular stress response was maximal on 50% Col-I-50% FN and minimal on 25% Col-I-75% FN. Cell area and cell circularity displayed a divergent relationship for different Col-I and FN ratios. We believe that these results will be of great importance to the cardiovascular field, biomedical field, and cell mechanics.NEW & NOTEWORTHY The endothelium constitutes the innermost layer of all blood vessels and plays an important role in vascular physiology and pathology. During certain vascular diseases, the extracellular matrix has been suggested to transition from a collagen-rich matrix to a fibronectin-rich matrix. In this study, we demonstrate the impact various collagen and fibronectin ratios have on endothelial biomechanical and morphological response.

Mathematical Modeling of the Effect of Cell Mobility and Active Intercellular Interactions on the Sorting of the Cells of Two Types in the Cultures of Biological Tissues

The cell motion is at the bottom of many biological phenomena. An important role in controlling cell motions is played by active stresses developing in biological tissues as a result of mechanical intercellular interactions. An investigation of the evolution of the mixtures of cells of different types forming cell aggregates shows that active intercellular force interactions lead to the spatial separation of the cells of different types, or the cell sorting. Within the framework of the continuum model of biological media [24] (the cells of different types are regarded as separate phases), in this study we investigate the effect of the parameters characterizing various mechanisms of the development ofactive intercellular stresses, as well as adhesion and cell mobility, on the process of the sorting of cells of two types that form an aggregate of spherical shape at the initial moment of time. It is shown that the sufficient condition for the sorting of cells of different types and the formation of a sharp boundary between the regions occupied by these cells is the absence of contracting interactions between the cells of different phases under the condition of asymmetry of the initial distributions of their concentrations or asymmetry of the parameters characterizing the development of active stresses in different phases. It is shown that the cells of the phase, where active contracting intercellular interactions are stronger (at the same values of the other parameters and the same initial distributions of phase concentrations for different cell phases), strive to occupy the central region of a spheroid. At the same time, the cells of the other phase, where the contracting interactions are weaker, are displaced to the periphery. An increase in the parameter characterizing cell repulsion leads to the displacement of this cell phase toward the periphery. Beside the active interaction forces, the cell motions can be controlled by both passive mechanical properties of the medium and the cell mobility. The asymmetry of the interphase distributions of these parameters can lead to the situation, when the cells that possess the greater contracting interactions will be displaced toward the cell spheroid periphery and surround the cells, the interaction between which is weaker

Borrelia burgdorferi induces changes in the physical forces and immunity signaling pathways of endothelial cells early but not late during in vitro exposure

Borrelia burgdorferi (Bb) is the causative bacterial agent of Lyme disease which is on the rise in the USA and Europe. Once transmitted to the human host via an arthropod vector, Bb spreads through tissues by traveling along and through the vasculature, whose inner lumen is lined by a monolayer of endothelial cells (ECs). What are the precise mechanisms that Bb employs to achieve efficient dissemination through the vasculature is not well understood. Could extracellular Bb induce alterations in the EC force generation machinery, promoting its own spread by potentially weakening the EC barrier integrity? Using videomicroscopy coupled with traction force and monolayer stress microscopy, we monitored the response of ECs to Bb exposure and found a sharp, transient increase in EC traction and intercellular stresses, followed by a prolonged decrease in EC traction and monolayer stresses up to 15 hours post-exposure. After this point though all variables return to levels similar to those observed for never-exposed ECs. Using RNA-sequencing to better understand the underlying biochemical mechanisms involved, we discovered an upregulation of EC innate immune signaling pathways during early but not late exposure to Bb. In contrast to exposure of ECs to live Bb, when we exposed ECs to heat-inactivated Bb, we evidenced no sharp increase in traction forces at early exposure, neither reversal at late exposure, but found a sustained weakening of physical forces all throughout the exposure. Thus, we discovered a differential response of EC physical force generation and innate immune signaling to live versus heat-inactivated Bb. This indicates a tight interplay between the two and is suggestive of an active modulation of both processes that might be key in establishing infection.

Resolving cadherin-mediated inter-cell contractile tension in multicellular migration.

Cell migration plays an important role in physiological processes of multicellular organisms and cancer metastasis. The change from coherent collective cell motion to individual incoherent motion is a key aspect of metastasis. This motivates this study of how stresses are generated, transmitted and coordinated during collective migration of cancer cells. We focus on the role of cadherins located at adherens junctions, transmembrane proteins that mediate cell-cell adhesion and harness the contractile force of the cell via the acto-myosin cytoskeleton. Cadherins are mechanosensitive and mechanoconductive, and are believed to play an important role in cell coordination during migration by enabling cells to collectively polarize and migrate along the axis of minimal intercellular shear stress. How such collective processes are coordinated over large multi-cellular assemblies has remained unclear, however, as mechanical stresses exerted at adherens junctions have not been accessible experimentally. To determine the impact of cadherins on carcinoma cell contractility, we used Traction Force Microscopy (TFM) and Bayesian Inversion Stress Microscopy (BISM) within fluorescently tagged cadherins clusters. GNE495 was used to modulate these cadherin-based adhesions. This showed an increase in the magnitudes and durations of traction forces, strain energy and shear stresses. A tracking algorithm was used to study the role of cadherins and contractility on cell migration, as we would expect higher contractility to correlate with higher displacements. Instead, cell movement tracked by their Mean Squared Displacement (MSD) decreased after cadherin disruption. This increase in contractile work but decrease in migration suggests that cadherin adhesion dynamics may be crucial in coordinating forces during migration, and loss of this coordination decreases the efficiency of collective migration. This provides valuable insight on tying the biophysics of cadherins to the biology of metastasis and a broader understanding of how intercellular stresses govern multicellular migration.

Culturing astrocytes on substrates that mimic brain tumors promotes enhanced mechanical forces

Astrocytes are essential to brain homeostasis and their dysfunction can have devastating consequences on human quality of life. Such deleterious effects are generally due in part to changes that occur at the cellular level, which may be biochemical or biomechanical in nature. One biomechanical change that can occur is a change in tissue stiffness. Brain tumors are generally associated with increased brain tissue stiffness, but the impact increased tissue stiffness has on astrocyte biomechanical behavior is poorly understood. Therefore, in this study we cultured human astrocytes on flexible substrates with stiffness that mimicked the healthy human brain (1 kPa), meningioma (4 kPa), and glioma (11 kPa) and investigated astrocyte biomechanical behavior by measuring cell-substrate tractions, strain energies, cell-cell intercellular stresses, and cellular velocities. In general, tractions, intercellular stresses, and strain energy was observed to increase as a function of increased substrate stiffness, while cell velocities were observed to decrease with increased substrate stiffness. We believe this study will be of great importance to the fields of brain pathology and brain physiology.

Physical analysis reveals distinct responses of human bronchial epithelial cells to guanidine and isothiazolinone biocides

Changes in the physical state of the cells can serve as important indicators of stress responses because they are closely linked with the changes in the pathophysiological functions of the cells. Physical traits can be conveniently assessed by analyzing the morphological features and the stresses at the cell-matrix and cell-cell adhesions in both single-cell and monolayer model systems in 2D. In this study, we investigated the mechano-stress responses of human bronchial epithelial cells, BEAS-2B, to two functionally distinct groups of biocides identified during the humidifier disinfectant accident, namely, guanidine (PHMG) and isothiazolinone (CMIT/MIT). We analyzed the physical traits, including cell area, nuclear area, and nuclear shape. While the results showed inconsistent average responses to the biocides, the degree of dispersion in the data set, measured by standard deviation, was remarkably higher in CMIT/MIT treated cells for all traits. As mechano-stress endpoints, traction and intercellular stresses were also measured, and the cytoskeletal actin structures were analyzed using immunofluorescence. This study demonstrates the versatility of the real-time imaging-based biomechanical analysis, which will contribute to identifying the temporally sensitive cellular behaviors as well as the emergence of heterogeneity in response to exogenously imposed stress factors. This study will also shed light on a comparative understanding of less studied substance, CMIT/MIT, in relation to a more studied substance, PHMG, which will further contribute to more strategic planning for proper risk management of the ingredients involved in toxicological accidents.

Relationship between velocities, tractions, and intercellular stresses in the migrating epithelial monolayer.

The relationship between velocities, tractions, and intercellular stresses in the migrating epithelial monolayer are currently unknown. Ten years ago, a method known as monolayer stress microscopy (MSM) was suggested from which intercellular stresses could be computed for a given traction field. The core assumption of MSM is that intercellular stresses within the monolayer obey a linear and passive constitutive law. Examples of these include a Hookean solid (an elastic sheet) or a Newtonian fluid (thin fluid film), which imply a specific relation between the displacements or velocities and the tractions. Due to the lack of independently measured intercellular stresses, a direct validation of the 2D stresses predicted by a linear passive MSM model is presently not possible. An alternative approach, which we give here and denote as the Stokes method, is based on simultaneous measurements of the monolayer velocity field and the cell-substrate tractions. Using the same assumptions as those underlying MSM, namely, a linear and passive constitutive law, the velocity field suffices to compute tractions, from which we can then compare with those measured by traction force microscopy. We find that the calculated tractions and measured tractions are uncorrelated. Since the classical MSM and the Stokes approach both depend on the linear and passive constitutive law, it follows that some serious modification of the underling rheology is needed. One possible modification is the inclusion of an active force. In the special case where this is additive to the linear passive rheology, we have a new relationship between the active force density and the measured velocity (or displacement) field and tractions, which by Newton's laws, must be obeyed.

Perturbing Endothelial Biomechanics via Connexin 43 Structural Disruption.

Endothelial cells have been established to generate intercellular stresses and tractions, but the role gap junctions play in endothelial intercellular stress and traction generation is currently unknown. Therefore, we present here a mechanics-based protocol to probe the influence of gap junction connexin 43 (Cx43) has on endothelial biomechanics by exposing confluent endothelial monolayers to a known Cx43 inhibitor 2,5-dihydroxychalcone (chalcone) and measuring the impact this inhibitor has on tractions and intercellular stresses. We present representative results, which show a decrease in both tractions and intercellular stresses under a high chalcone dosage (2 µg/mL) when compared to control. This protocol can be applied to not just Cx43, but also other gap junctions as well, assuming the appropriate inhibitor is used. We believe this protocol will be useful in the fields of cardiovascular and mechanobiology research.

Active Fingering Instability in Tissue Spreading.

During the spreading of epithelial tissues, the advancing tissue front often develops fingerlike protrusions. Their resemblance to traditional viscous fingering patterns in driven fluids suggests that epithelial fingers could arise from an interfacial instability. However, the existence and physical mechanism of such a putative instability remain unclear. Here, based on an active polar fluid model for epithelial spreading, we analytically predict a generic instability of the tissue front. On the one hand, active cellular traction forces impose a velocity gradient that leads to an accelerated front, which is, thus, unstable to long-wavelength perturbations. On the other hand, contractile intercellular stresses typically dominate over surface tension in stabilizing short-wavelength perturbations. Finally, the finite range of hydrodynamic interactions in the tissue selects a wavelength for the fingering pattern, which is, thus, given by the smallest between the tissue size and the hydrodynamic screening length. Overall, we show that spreading epithelia experience an active fingering instability based on a simple kinematic mechanism. Moreover, our results underscore the crucial role of long-range hydrodynamic interactions in the dynamics of tissue morphology.

Probing Endothelial Cell Mechanics Through Connexin 43 Disruption.

The endothelium has been established to generate intercellular stresses and suggested to transmit these intercellular stresses through cell-cell junctions, such as VE-Cadherin and ZO-1, for example. Although the previously mentioned molecules reflect the appreciable contributions both adherens junctions and tight junctions are believed to have in endothelial cell intercellular stresses, in doing so they also reveal the obscure relationship that exists between gap junctions and intercellular stresses. Therefore, to bring clarity to this relationship we disrupted expression of the endothelial gap junction connexin 43 (Cx43) by exposing confluent human umbilical vein endothelial cells (HUVECs) to a low (0.2 μg/mL) and high (2 μg/mL) concentration of 2,5-dihydroxychalcone (chalcone), a known Cx43 inhibitor. To evaluate the impact Cx43 disruption had on endothelial cell mechanics we utilized traction force microscopy and monolayer stress microscopy to measure cell-substrate tractions and cell-cell intercellular stresses, respectively. HUVEC monolayers exposed to a low concentration of chalcone produced average normal intercellular stresses that were on average 17% higher relative to control, while exposure to a high concentration of chalcone yielded average normal intercellular stresses that were on average 55% lower when compared to control HUVEC monolayers. HUVEC maximum shear intercellular stresses were observed to decrease by 16% (low chalcone concentration) and 66% (high chalcone concentration), while tractions exhibited an almost 2-fold decrease under high chalcone concentration. In addition, monolayer cell velocities were observed to decrease by 19% and 35% at low chalcone and high chalcone concentrations, respectively. Strain energies were also observed to decrease by 32% and 85% at low and high concentration of chalcone treatment, respectively, when compared to control. The findings we present here reveal for the first time the contribution Cx43 has to endothelial biomechanics.

Active wetting of epithelial tissues.

Development, regeneration and cancer involve drastic transitions in tissue morphology. In analogy with the behavior of inert fluids, some of these transitions have been interpreted as wetting transitions. The validity and scope of this analogy are unclear, however, because the active cellular forces that drive tissue wetting have been neither measured nor theoretically accounted for. Here we show that the transition between two-dimensional epithelial monolayers and three-dimensional spheroidal aggregates can be understood as an active wetting transition whose physics differs fundamentally from that of passive wetting phenomena. By combining an active polar fluid model with measurements of physical forces as a function of tissue size, contractility, cell-cell and cell-substrate adhesion, and substrate stiffness, we show that the wetting transition results from the competition between traction forces and contractile intercellular stresses. This competition defines a new intrinsic lengthscale that gives rise to a critical size for the wetting transition in tissues, a striking feature that has no counterpart in classical wetting. Finally, we show that active shape fluctuations are dynamically amplified during tissue dewetting. Overall, we conclude that tissue spreading constitutes a prominent example of active wetting — a novel physical scenario that may explain morphological transitions during tissue morphogenesis and tumor progression.

Electric field-induced migration and intercellular stress alignment in a collective epithelial monolayer.

During wound healing, cells migrate with electrotactic bias as a collective entity. Unlike the case of the electric field (EF)-induced single-cell migration, the sensitivity of electrotactic response of the monolayer depends primarily on the integrity of the cell–cell junctions. Although there exist biochemical clues on how cells sense the EF, a well-defined physical portrait to illustrate how collective cells respond to directional EF remains elusive. Here, we developed an EF stimulating system integrated with a hydrogel-based traction measurement platform to quantify the EF-induced changes in cellular tractions, from which the complete in-plane intercellular stress tensor can be calculated. We chose immortalized human keratinocytes, HaCaT, as our model cells to investigate the role of EF in epithelial migration during wound healing. Immediately after the onset of EF (0.5 V/cm), the HaCaT monolayer migrated toward anode with ordered directedness and enhanced speed as early as 15 min. Cellular traction and intercellular stresses were gradually aligned perpendicular to the direction of the EF until 50 min. The EF-­induced reorientation of physical stresses was then followed by the delayed cell-body reorientation in the direction perpendicular to the EF. Once the intercellular stresses were aligned, the reversal of the EF direction redirected the reversed migration of the cells without any apparent disruption of the intercellular stresses. The results suggest that the dislodging of the physical stress alignment along the adjacent cells should not be necessary for changing the direction of the monolayer migration.

Long-range stress transmission guides endothelial gap formation

In endothelial gap formation, local tractions exerted by the cell upon its basal adhesions are thought to exceed balancing tensile stresses exerted across the cell-cell junction, thus causing the junction to rupture. To test this idea, we mapped evolving tractions, intercellular stresses, and corresponding growth of paracellular gaps in response to agonist challenge. Contrary to expectation, we found little to no relationship between local tensile stresses and gap formation. Instead, we discovered that intercellular stresses were aligned into striking multi-cellular domains punctuated by defects in stress alignment. Surprisingly, gaps emerged preferentially not at stress hotspots, as predicted, but rather at stress defects. This unexpected behavior is captured by a minimal model of the cell layer as a jammed assembly of cohesive particles undergoing plastic rearrangements under tension. Together, experiments and model suggest a new physical picture in which gap formation, and its consequent effect on endothelial permeability, is determined not by a local stress imbalance at a cell-cell junction but rather by emergence of non-local, cooperative stress reorganization across the cellular collective.

Long-lived force patterns and deformation waves at repulsive epithelial boundaries.

For an organism to develop and maintain homeostasis, cell types with distinct functions must often be separated by physical boundaries. The formation and maintenance of such boundaries are commonly attributed to mechanisms restricted to the cells lining the boundary. Here we show that, besides these local subcellular mechanisms, the formation and maintenance of tissue boundaries involves long-lived, long-ranged mechanical events. Following contact between two epithelial monolayers expressing, respectively, EphB2 and its ligand ephrinB1, both monolayers exhibit oscillatory patterns of traction forces and intercellular stresses that tend to pull cell-matrix adhesions away from the boundary. With time, monolayers jam, accompanied by the emergence of deformation waves that propagate away from the boundary. This phenomenon is not specific to EphB2/ephrinB1 repulsion but is also present during the formation of boundaries with an inert interface and during fusion of homotypic epithelial layers. Our findings thus unveil a global physical mechanism that sustains tissue separation independently of the biochemical and mechanical features of the local tissue boundary.

Mechanical and signaling roles for keratin intermediate filaments in the assembly and morphogenesis of Xenopus mesendoderm tissue at gastrulation.

The coordination of individual cell behaviors is a crucial step in the assembly and morphogenesis of tissues. Xenopus mesendoderm cells migrate collectively along a fibronectin (FN) substrate at gastrulation, but how the adhesive and mechanical forces required for these movements are generated and transmitted is unclear. Traction force microscopy (TFM) was used to establish that traction stresses are limited primarily to leading edge cells in mesendoderm explants, and that these forces are balanced by intercellular stresses in follower rows. This is further reflected in the morphology of these cells, with broad lamellipodial protrusions, mature focal adhesions and a gradient of activated Rac1 evident at the leading edge, while small protrusions, rapid turnover of immature focal adhesions and lack of a Rac1 activity gradient characterize cells in following rows. Depletion of keratin (krt8) with antisense morpholinos results in high traction stresses in follower row cells, misdirected protrusions and the formation of actin stress fibers anchored in streak-like focal adhesions. We propose that maintenance of mechanical integrity in the mesendoderm by keratin intermediate filaments is required to balance stresses within the tissue to regulate collective cell movements.

Emergent structures and dynamics of cell colonies by contact inhibition of locomotion

Cells in tissues can organize into a broad spectrum of structures according to their function. Drastic changes of organization, such as epithelial-mesenchymal transitions or the formation of spheroidal aggregates, are often associated either to tissue morphogenesis or to cancer progression. Here, we study the organization of cell colonies by means of simulations of self-propelled particles with generic cell-like interactions. The interplay between cell softness, cell-cell adhesion, and contact inhibition of locomotion (CIL) yields structures and collective dynamics observed in several existing tissue phenotypes. These include regular distributions of cells, dynamic cell clusters, gel-like networks, collectively migrating monolayers, and 3D aggregates. We give analytical predictions for transitions between noncohesive, cohesive, and 3D cell arrangements. We explicitly show how CIL yields an effective repulsion that promotes cell dispersal, thereby hindering the formation of cohesive tissues. Yet, in continuous monolayers, CIL leads to collective cell motion, ensures tensile intercellular stresses, and opposes cell extrusion. Thus, our work highlights the prominent role of CIL in determining the emergent structures and dynamics of cell colonies.

Validation of a Novel Experimental and Computational Methodology to Measure Intercellular Forces during Tissue Morphogenesis

During three-dimensional tissue development, cell-cell confinement, cell-cell traction forces, and the resulting intracellular tension play a key role in regulating cell proliferation differentiation, migration, and apoptosis. Yet, the molecular mechanisms that underlie the biochemical response of living cells to these mechanical forces are largely elusive, in part due to the lack of suitable methods to measure accurately the intercellular forces in three-dimensional, developing living tissues with high spatial and temporal resolution. We have developed a novel experimental and computational methodology to measure the spatial and temporal evolution of the intercellular forces during tissue development while simultaneously monitoring the dynamics of the resulting proliferation, differentiation, and migration of the cells within the tissue using a small, slender, elastic PDMS microrod. The microfabricated rod is functionalized and embedded in the tissue as we track its shape deformations over time. As tissue forms around the rod, the cells in the developing tissue exert stresses producing bending deformations along the length of the microrod. By tracking these deformations we can backtrack a solution to the primary forces exerted by the cells. Preliminary experimental results on wild type HaCat cells show that the method has enough sensitivity to measure single cell-to-cell forces and to evaluate the dynamics of wound healing processes. A validation strategy for this method is presented and tested in 1D and 2D scenarios. Traction forces are obtained solving the classical solution of the elastostatic equation from the deformations obtained from fluorescent beads on polyacrylamide substrates. Direct measurements of the intercellular stresses are then compared with calculations of the monolayer stresses obtained solving the Kirchhoff-Love thin plate theory equations.