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Mapping cell cortex rheology to tissue rheology, and vice-versa

Abstract : The mechanics of biological tissues mainly proceeds from the cell cortex rheology. A direct, explicit link between cortex rheology and tissue rheology remains lacking, yet would be instrumental in understanding how modulations of cortical mechanics may impact tissue mechanical behaviour. Using an ordered geometry built on 3D hexagonal, incompressible cells, we build a mapping relating the cortical rheology to the monolayer tissue rheology. Our approach shows that the tissue low frequency elastic modulus is proportional to the rest tension of the cortex, as expected from the physics of liquid foams. In agreement with recent experimental observations, we show that a fractional visco-elastic monolayer rheology may emerge from a fractional visco-contractile cortex rheology. In particular cases, the mapping may be inverted, allowing to derive from a given tissue rheology the underlying cortex rheology. Interestingly, applying the same approach to a 2D hexagonal tiling fails, which suggests that the 2D character of planar cell cortex-based models may be unsuitable to account for realistic monolayer rheologies. We provide quantitative predictions, amenable to experimental tests through standard perturbation assays of cortex constituents, and hope to foster new, challenging mechanical experiments on cell monolayers.
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Submitted on : Friday, April 22, 2022 - 4:30:59 PM
Last modification on : Tuesday, April 26, 2022 - 3:37:17 AM


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  • HAL Id : hal-03649586, version 1


Étienne Moisdon, Pierre Seez, Camille Noûs, François Molino, Marcq Philippe, et al.. Mapping cell cortex rheology to tissue rheology, and vice-versa. 2022. ⟨hal-03649586⟩



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