Epithelia remove excess cells through extrusion, and prevent accumulation of unnecessary or pathological cells. The extrusion process can be triggered by apoptotic signaling1, oncogenic transformation2,3, and overcrowding of cells4–6. Despite the important links of cell extrusion to developmental7, homeostatic5 and pathological processes2,8,9 such as cancer metastasis, its underlying mechanism and connections to the intrinsic mechanics of the epithelium are largely unexplored. Here, we show that apoptotic cell extrusion is provoked by singularities in cell alignments9,10 in the form of comet-like topological defects. We find a universal correlation between the extrusion sites and positions of nematic defects in the cell orientation field in different epithelium types. We model the epithelium as an active nematic liquid crystal and compare numerical simulations to strain rate and stress measurements within cell monolayers. The results confirm the active nematic nature of epithelia for the first time, and demonstrate that defect-induced isotropic stresses are the primary precursor of mechanotransductive responses in cells such as YAP (Yes-associated protein) transcription factor activity11, caspase-3 mediated cell death, and extrusions. Importantly, the defect-driven extrusion mechanism depends on intercellular junctions, since the weakening of cell-cell interactions in α-catenin knockdown (α-catKD) monolayer reduces the defect size and increases both the number of defects and extrusion rates, as also predicted by our model. We further demonstrate the ability to control extrusion hotspots by geometrically inducing defects through microcontact-printing of patterned monolayers. Together we propose a novel mechanism for apoptotic cell extrusion: spontaneously formed topological defects in epithelia govern cell fate. This new finding has important implications in predicting extrusion hotspots and dynamics in vivo, with potential applications to tissue regeneration and metastasis suppression. Moreover, we anticipate that the analogy between the epithelium and active nematic liquid crystals will trigger further investigations of the link between cellular processes and the material properties of epithelia.

Active matter extracts energy from its surroundings at the single particle level and transforms it into mechanical work. Examples include cytoskeleton biopolymers and bacterial suspensions. Here, we review experimental, theoretical and numerical studies of active nematics - a type of active system that is characterised by self-driven units with elongated shape. We focus primarily on microtubule–kinesin mixtures and the hydrodynamic theories that describe their properties. An important theme is active turbulence and the associated motile topological defects. We discuss ways in which active turbulence may be controlled, a pre-requisite to harvesting energy from active materials, and we consider the appearance, and possible implications, of active nematics and topological defects to cellular systems and biological processes.

Activity and autonomous motion are fundamental in living and engineering systems. This has stimulated the new field of "active matter" in recent years, which focuses on the physical aspects of propulsion mechanisms, and on motility-induced emergent collective behavior of a larger number of identical agents. The scale of agents ranges from nanomotors and microswimmers, to cells, fish, birds, and people. Inspired by biological microswimmers, various designs of autonomous synthetic nano-and micromachines have been proposed. Such machines provide the basis for multifunctional, highly responsive, intelligent (artificial) active materials, which exhibit emergent behavior and the ability to perform tasks in response to external stimuli. A major challenge for understanding and designing active matter is their inherent nonequilibrium nature due to persistent energy consumption, which invalidates equilibrium concepts such as free energy, detailed balance, and time-reversal symmetry. Unraveling, predicting, and controlling the behavior of active matter is a truly interdisciplinary endeavor at the interface of biology, chemistry, ecology, engineering, mathematics, and physics.

Active systems, from bacterial suspensions to cellular monolayers, are continuously driven out of equilibrium by local injection of energy from their constituent elements and exhibit turbulent-like and chaotic patterns. Here we demonstrate both theoretically and through numerical simulations, that the crossover between wet active systems, whose behaviour is dominated by hydrodynamics, and dry active matter where any flow is screened, can be achieved by using friction as a control parameter. Moreover, we discover unexpected vortex ordering at this wet–dry crossover. We show that the self organization of vortices into lattices is accompanied by the spatial ordering of topological defects leading to active crystal-like structures. The emergence of vortex lattices, which leads to the positional ordering of topological defects, suggests potential applications in the design and control of active materials.

There is now growing evidence of the emergence and biological functionality of liquid crystal features, including nematic order and topological defects, in cellular tissues. However, how such features that intrinsically rely on particle elongation, emerge in monolayers of cells with isotropic shapes is an outstanding question. In this article we present a minimal model of cellular monolayers based on cell deformation and force transmission at the cell-cell interface that explains the formation of topological defects and captures the flow-field and stress patterns around them. By including mechanical properties at the individual cell level, we further show that the instability that drives the formation of topological defects and leads to active turbulence, emerges from a feedback between shape deformation and active driving. The model allows us to suggest new explanations for experimental observations in tissue mechanics, and to propose designs for future experiments. arXiv:1811.05040v2 [cond-mat.soft]