Epithelia are tissues which envelop organs, exchange with and protect from their environment. The tight packing of cells within an epithelium guarantees its cohesiveness and impermeability, essential to its functions. Yet, how cells spatially arrange in three dimensions within an epithelium, and how the three-dimensional cell packing responds to geometrical constraints, is not fully understood. In a proliferating epithelium, cellular volumes vary from cell to cell, notably due to cell growth. At the same time, epithelia tend to display a smooth, continuous apical surface, indicating that cell shape determinants are spatially coupled. It is unclear how these and other factors modulate cell shape variability within the epithelium. Here, we segmented three-dimensional cell shapes of MDCK epithelia, grown in hollow spheres of alginate. With this assay, we could modulate the substrate adhesive properties, tissue curvature, and cell area density. We observed that as the tissue proliferates and cell density increases, average cell volume decreases. In contrast, cell height is relatively conserved over time, with an average value sensitive to the rigidity, curvature and adhesive strength of the substrate. We identified large and spatially correlated fluctuations in cell skewing, defined as the relative difference between apical and basal area that do not arise from curvature. Skewing is associated to spatial patterns of tilted cells whose apico-basal axis deviates from orthogonality to the substrate. Surprisingly, cell skewing and cell height are correlated, indicating internal rules for three-dimensional cell shapes. Altogether, our study identifies unexpected patterns of three-dimensional cell shape variation within a proliferative epithelium. ### Competing Interest Statement The authors have declared no competing interest. Swiss National Fund for Research, #131003A_173087, #CRSII5_189996, #310030_200793 NCCR Chemical Biology and the European Research Council Synergy, #951324-R2-TENSION

Cellular monolayers often exhibit orientational order, with nematic alignment of cell shape and cytoskeletal structures governing tissue-scale collective dynamics. Despite extensive studies, a unified analysis framework for characterizing active nematics in living systems remains partial, and key discrepancies with theory persist. Here, we present a systematic and comparative analysis of nematic order and tissue flow dynamics across twelve distinct cell types. We quantify the impact of analysis parameters and provide data-driven guidelines to improve reproducibility and cross-study comparability. Across all nematic systems, we uncover remarkably consistent static properties, supporting the universality of nematic behavior in living tissues. By combining orientation-field analysis with velocity-field measurements and numerical simulations, we show that all examined systems display contractile active nematic signatures, with characteristic flow structures around topological defects. However, direct tracking of individual defects reveals subdiffusive dynamics, in stark contrast with the superdiffusive, self-propelled motion predicted by the hydrodynamic theory of active nematics. Our results establish a standardized framework for nematic analysis in biological systems and highlight fundamental limitations of current active nematic models in describing defect dynamics in living tissues.

Flipper-TR is a membrane dye sensitive to lipid packing widely used to probe membrane tension in live cells via fluorescence lifetime imaging microscopy (FLIM). However, no consensus currently exists on the optimal strategy for extracting lifetime values, particularly across varying experimental setups and biological systems. Here, we systematically compare multiple approaches to estimate Flipper-TR lifetime, including multi-exponential reconvolution fitting, tail fitting, mean photon arrival time (first moment), and phasor analysis. These estimators are tested against changes in photon budget, sample characteristics, microscope manufacturer, and laser frequency. This analysis offers a comprehensive benchmark and decision-making framework for quantitative FLIM analysis of Flipper dyes in various contexts.

In cells, the curved clathrin structures in vesicle budding are well characterized, while the flat ones remain poorly understood. Here, we reconstitute the flat assembly of ESCRT-0 protein HRS and clathrin onto lipid membranes in vitro. HRS forms gel-like protein condensates at micromolar concentrations in solutions. These condensates spread as a two-dimensional layer on negatively charged membranes and, together with clathrin, form multilayered coats. Importantly, the two-dimensional condensates spontaneously form only on membranes at HRS concentrations below 50 nM, its cytoplasmic concentration. Correlative cryo-electron tomography of HRS-labelled endosomes in cells reveals a multilayered structure containing a flat clathrin layer 16 nm away from the membrane, consistent with our in vitro findings. Cholesterol enhances HRS recruitment to the membrane both in cells and in supported bilayers. Furthermore, cholesterol promotes the phase separation of HRS onto membranes, which in turn concentrates cholesterol underneath. This positive feedback promotes the formation of HRS-clathrin microdomains that sorts reconstituted ubiquitinated cargoes. Altogether, our results show that the distinct architecture of ESCRT-0 is assembled by the two-dimensional phase-separation of HRS which drives the assembly of flat clathrin coats.

Curved geometries are a defining feature of epithelial tissues, yet how cells integrate curvature cues across spatial scales remains unclear. Here, we combined wavy hydrogels with inducible self-rolling substrates to readily and independently impose local and large-scale curvatures on epithelial monolayers, recapitulating key geometric features of bronchiolar epithelia. By controlling the orientation of local curvature relative to the large-scale curvature set by the tube axis, we show that multiscale curvature induces scale-dependent and anisotropic remodeling of cell shape, nuclear organization, and tissue thickness. In contrast, nuclei maintain a robust and conserved three-dimensional geometry, with curvature primarily regulating nuclear orientation rather than shape. This hierarchical induction of specific changes to the tissue architecture shows that multiscale curvature sensing is a fundamental physical principle governing epithelial architecture. ### Competing Interest Statement The authors have declared no competing interest.

Fluorescent flippers have been introduced as small-molecule probes to image physical forces within cell membranes. Despite their popularity and much effort, significant improvements of performance have not been reported since their first design. Now, almost a decade after their introduction, we disclose flipper dendrimers that address the main practical problem with flipper probes: phototoxicity. Flipper dendrimers provide much stronger fluorescence in cells while maintaining responsiveness to changes in membrane tension. This increased effective brightness enables imaging at almost one order of magnitude lower laser power to generate the same fluorescence intensity, thereby reducing phototoxicity and allowing longer monitoring of biological processes. This breakthrough is achieved using large peptide dendrimers that maximize deliverability as Israelachvili-inspired inverted cones. Peptide dendrimers and hydrophobic interfacers modulate fluorescence lifetime and plasma membrane targeting by controlling probe orientation, interdomain distribution, intermembrane transfer and internalization. This supramolecular chemistry strategy to improve performance by engineering probe integration into the environment, rather than the mechanophore itself, is generally applicable.

Abstract In cells, ESCRT-III is unique in mediating fission of membrane necks from inside, a process called reverse-topology fission. Yet, in vitro, the complex primarily assembles outside membrane necks and mediates fission with normal topology. Here, we show that the direction of ESCRT-mediated membrane deformation emerges from bilayer asymmetry rather than being intrinsically encoded by the ESCRT machinery alone. Using genetic perturbations in budding yeast, we find that disruption of phospholipid asymmetry and sphingolipid homeostasis does not abolish ESCRT-dependent trafficking but renders ILV formation highly sensitive to membrane physical state, leading to inefficient cargo sorting and accumulation of stalled endosomal intermediates. In vitro reconstitution experiments and synthetic in vivo cargo systems demonstrate that asymmetric protein distribution across the membrane is sufficient to bias curvature directionality, with luminal leaflet crowding promoting efficient ILV incorporation and cytosolic crowding inhibiting inward budding. Together, these results support a model in which ESCRT-mediated membrane bending directionality emerges from the intrinsic tension difference between the bilayer leaflets. This tension difference arises from both lipid and cargo crowding-encoded asymmetries within the bilayer, rather than being solely encoded by ESCRT polymer properties.

SUMMARY Endocytosis internalises nutrients, regulates extracellular signals, and recycles membrane components. Clathrin polymerises into a coat that shapes the endocytic vesicle from the plasma membrane. However, the role of clathrin’s dynamic assembly in the endocytic process remains unclear. We show, using two-colour fluorescence recovery after photobleaching assays in yeast, that the clathrin coat turns over rapidly in the early phase of endocytosis, dependent on the auxilin Swa2 and its ATPase. In the late phase the turnover is stopped by the coat protein Sla1. Regulated clathrin turnover is critical for the timing of endocytic progression and for controlling coat size. In the absence of this dynamic regulation the endocytic coats become abnormally large, resulting in the failure of the final actin-driven vesicle budding. These findings reveal that, in addition to its classic structural function, the dynamic properties of the clathrin lattice are critical for both the temporal and mechanical aspects of endocytosis.

The emergence of cell compartmentalization depends on membrane fission to create the endomembrane compartments. In eukaryotes, membrane fission is commonly executed by ESCRT-III, a protein complex conserved in all domains of life. However, whether membrane fission was an ancestral ESCRT-III activity predating eukaryogenesis remains unknown. Here we show that ESCRT-IIIA from Asgard Heimdallarchaeota, the closest archaeal relatives of eukaryotes, performs membrane fission through an N-terminal amphipathic helix, which we term Hofund. In eukaryotes, Hofund is fragmented across ESCRT-IIIA paralogs, and disrupting these regions causes severe fission defect in yeast. Remarkably, Heimdallarchaeota Hofund restores fission when fused to defective eukaryotic paralogs. These findings suggest that ESCRT-III-mediated fission arose before eukaryogenesis and later diversified to support the regulatory complexity of eukaryotic compartmentalization. ### Competing Interest Statement The authors have declared no competing interest.

Cells monitor and dynamically regulate the lipid composition and biophysical properties of their plasma membrane (PM). The Target Of Rapamycin complex 2 (TORC2) is a protein kinase that acts as a central regulator of plasma membrane homeostasis, but the mechanisms by which it detects and reacts to membrane stresses are poorly understood. To address this knowledge gap, we characterized a family of amphiphilic molecules that physically perturb plasma membrane organization and in doing so inhibit TORC2 in yeast and mammalian cells. Using fluorescent reporters of various lipids in budding yeast, we show that exposure to these small molecules causes mobilization of PM ergosterol as well as inhibition of TORC2. TORC2 inhibition results in activation of the PM-ER sterol transporters Lam2 and Lam4 and the subsequent rapid removal of accessible ergosterol from the plasma membrane via PM-ER contact sites. This sequence of events, culminating in the reactivation of TORC2, is also observed with several other PM stresses, suggesting that TORC2 acts in a feedback loop to control active sterol levels at the plasma membrane to maintain its homeostasis.

ESCRT-III proteins assemble into composite polymers that undergo stepwise changes in composition and structure to deform membranes across the tree of life. Here, using a phylogenetic analysis, we demonstrate that the two endosomal sorting complex required for transport III (ESCRT-III) proteins present in eukaryote's closest Asgard archaeal relatives are evolutionarily related to the B- and A-type eukaryotic paralogs that initiate and execute membrane remodeling, respectively. We show that Asgard ESCRT-IIIB assembles into parallel arrays on planar membranes to initiate membrane deformation, from where it recruits ESCRT-IIIA to generate composite polymers. Last, we show that Asgard ESCRT-IIIA is able to remodel membranes into tubes as a likely prelude to scission. Together, these data reveal a set of conserved principles governing ESCRT-III-dependent membrane remodeling that first emerged in a two-component ESCRT-III system in archaea.

Hydra regenerates one head when cut, but how forces shaping the head are coordinated remains unclear. Soft compression of Hydra ’s head-regenerating tissues induces the formation of viable, two-headed animals. Compression creates new topological defects in the supracellular orientational order of muscular actin fibers, associated with additional heads. Theory supports that these defects organize muscle stresses required to shape the head. By compressing head-regenerating tissues along their body axis, we formed toroidal tissues, whose unique topology allows for the absence of defects. Toroids with no actin defects did not regenerate. Toroids with actin defects regenerated into viable toroidal animals with a bifurcated body. Topological defects in the actin orientational order are thus necessary for complete regeneration of Hydra , defining actin topological defects as mechanical organizers of morphogenesis.

Tension propagates in lipid bilayers over hundreds of microns within milliseconds, seemingly precluding the formation of tension gradients. Nevertheless, plasma membrane tension gradients have been reported in migrating cells and along growing axons. Here, we show that the mechanosensitive, fluorescent membrane probe Flipper-TR visualizes membrane tension gradients in artificial and cellular membranes. Images of tension gradients allow their quantitative characterization, showing that they are long-ranged and linear in all migratory adherent cells. Using this tool, we unexpectedly reveal that tension gradients also exist in non-migrating adherent cells while they are absent in non-adherent migrating cells. This suggests that actomyosin forces can generate tension gradients even in non-moving cells, but that adhesion to a substrate is needed to sustain these gradients. Treatment of cells with drugs perturbing actomyosin show that branched actin increases tension, creating gradients. Furthermore, specific adhesion mediated by clathrin plaques colocalizes with regions of low tension, and chemical disruption of clathrin plaques strongly affect tension gradients. Altogether, our results show that the combined action of actomyosin and adhesion forces create tension gradients in the plasma membrane of adherent cells, even the ones not migrating.

ESCRT-III proteins assemble into composite polymers that undergo stepwise changes in composition and structure to deform membranes across the tree of life. Here, using a phylogenetic analysis we demonstrate that the two ESCRT-III proteins present in our closest archaeal relatives are evolutionarily related to B-type and A-type eukaryotic paralogues, which initiate and execute membrane remodelling, respectively. This deep homology is reflected in ESCRT-III structure and function as demonstrated by the fact that ESCRT-IIIB assembles into parallel arrays on planar membranes to initiate membrane deformation, and is required to recruit ESCRT-IIIA to generate composite polymers. ESCRT-IIIA homopolymers can then remodel membranes into tubes, as a likely prelude to scission. Taken together, this analysis reveals a set of conserved principles governing ESCRT-III-dependent membrane remodelling that first emerged with the evolution of a two-component ESCRT-III system in the Asgard archaea, and which continue to underlie complex multi-component, ESCRT-III-dependent membrane remodelling in eukaryotes. ### Competing Interest Statement The authors have declared no competing interest.