The elastic moduli of tissues are connected to their states of health and function. The epithelial monolayer is a simple, minimal, tissue model that is often used to gain understanding of mechanical behavior at the cellular or multi-cellular scale. Here we investigate how the elastic modulus of Madin Darby Canine Kidney (MDCK) cells depends on their packing density. Rather than measuring elasticity at the sub-cellular scale with local probes, we characterize the monolayer at the multi-cellular scale, as one would a thin slab of elastic material. We use a micro-indentation system to apply gentle forces to the apical side of MDCK monolayers, applying a normal force to approximately 100 cells in each experiment. In low-density confluent monolayers, we find that the elastic modulus decreases with increasing cell density. At high densities, the modulus appears to plateau. This finding will help guide our understanding of known collective behaviors in epithelial monolayers and other tissues where variations in cell packing density are correlated with cell motion.
It is widely recognized that the shape of epithelial cells is determined by the tension generated by the actomyosin cortex and the adhesion of cells to the substrate and to each other. To account for these biological and structural contributions to cell shape, different physical models have been proposed. However, an experimental procedure that would allow a validation of a minimal physical model for the shape of epithelial cells in 3D has not yet been proposed. In this study, we cultured MDCK epithelial cells on substrates with a sinusoidal profile, allowing us to measure the shape of the cel…
Biological processes such as embryogenesis, wound healing and cancer progression, crucially rely on the ability of epithelial cells to coordinate their mechanical activity over length scales order of magnitudes larger than the typical cellular size. While regulated by various signalling pathways, it has recently become evident that this behavior can additionally hinge on a minimal toolkit of physical mechanisms, of which liquid crystal order is the most prominent example. Yet, experimental and theoretical studies have given so far inconsistent results in this respect: whereas nematic order is …
Cell size heterogeneity controls crystallization of the developing fruit fly wing
Max-Planck Institute for Physics of Complex Systems（马克斯·普朗克复杂系统物理学研究所）；DataLoch；University of Edinburgh（爱丁堡大学）；Université Paris Cité（巴黎西岱大学）；Institut Pasteur（巴斯德研究所）；Inserm（法国国家健康与医学研究院）；Cluster of Excellence Physics of Life, TUD（德累斯顿工业大学生命物理卓越集群）；Mechanobiology Institute, National University of Singapore（新加坡国立大学生物力学研究所）
Amorphous materials exhibit complex material proprteties with strongly nonlinear behaviors. Below a yield stress they behave as plastic solids, while they start to yield above a critical stress $Σ_c$. A key quantity controlling plasticity which is, however, hard to measure is the density $P(x)$ of weak spots, where $x$ is the additional stress required for local plastic failure. In the thermodynamic limit $P(x)\sim x^θ$ is singular at $x= 0$ in the solid phase below the yield stress $Σ_c$. This singularity is related to the presence of system spannig avalanches of plastic events. Here we addre…
We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory epithelial and endothelial cells. The phase diagram exhibits a liquid phase with giant number fluctuations at low packing fraction and high self-propulsion speed and a jammed phase at high packing fraction and low self-propulsion speed. The dynamics of the jammed phase is controlled by the low frequency modes of the jammed packing.
Many cell types spontaneously order like nematic liquid crystals, and, as such, they form topological defects. While defects with topological charge $\pm$1/2 are common in cell monolayers, the defects with charge $\pm$1, relevant in the formation of protrusions and for cell migration in living systems, are more elusive. We use topographical patterns to impose topological charge of $\pm$1 in controlled locations in cell monolayers. We compare the behavior of 3T6 fibroblasts and EpH-4 epithelial cells on such patterns, characterizing the degree of alignment, the cell density near the defects, an…
Within developing embryos, tissues flow and reorganize dramatically on timescales as short as minutes. This includes epithelial tissues, which often narrow and elongate in convergent extension movements due to anisotropies in external forces or in internal cell-generated forces. However, the mechanisms that allow or prevent tissue reorganization, especially in the presence of strongly anisotropic forces, remain unclear. We study this question in the converging and extending Drosophila germband epithelium, which displays planar polarized myosin II and experiences anisotropic forces from neighbo…
