Feedback-controlled epithelial mechanics: emergent soft elasticity and active yielding
Pengyu Yu, Fridtjof Brauns, M. Cristina Marchetti

TL;DR
This paper introduces a minimal vertex model showing how active forces and elastic stress coupling induce an isotropic-nematic transition in epithelial tissues, resulting in soft elasticity and collective tissue flows relevant for morphogenesis.
Contribution
It demonstrates a feedback mechanism leading to emergent tissue states, including a novel plastic nematic solid, bridging cell-scale activity and tissue-scale rheology.
Findings
Induces an isotropic-nematic transition in tissue mechanics.
Reveals a soft elastic state with correlated tissue flows.
Identifies a plastic nematic solid state facilitating tissue remodeling.
Abstract
Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale nematic order emerges from cell-scale processes and influences tissue rheology remain unclear. Here, we develop a minimal vertex model that incorporates a coupling between active forces generated by cytoskeletal fibers and their alignment with local elastic stress in solid epithelial tissues. We show that this feedback loop induces an isotropic--nematic transition, leading to an ordered solid state that exhibits soft elasticity. Further increasing activity drives collective self-yielding, leading to tissue flows that are correlated across the entire system. This remarkable state, that we dub plastic nematic solid, is uniquely suited to facilitate active…
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