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

Étienne Moisdon; Pierre Seez; Camille Noûs; François Molino; Marcq Philippe; Philippe Marcq; Cyprien Gay

Pré-Publication, Document De Travail Année : 2022

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

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Étienne Moisdon

Fonction : Auteur

Matière et Systèmes Complexes

Pierre Seez

Fonction : Auteur

Matière et Systèmes Complexes

Camille Noûs

Fonction : Auteur
PersonId : 183511
IdHAL : cnous
ORCID : 0000-0002-0778-8115
IdRef : 249647966

Laboratoire Cogitamus

François Molino

Fonction : Auteur
PersonId : 843993
ORCID : 0000-0002-7687-3209
IdRef : 188914862

Laboratoire Charles Coulomb

Marcq Philippe

Fonction : Auteur

Physique et mécanique des milieux hétérogenes (UMR 7636)

Philippe Marcq

Fonction : Auteur
PersonId : 755972
ORCID : 0000-0002-3232-9156

Cyprien Gay

Fonction : Auteur
PersonId : 1772
IdHAL : cgay
ORCID : 0000-0002-2691-2601
IdRef : 192372998

Matière et Systèmes Complexes

Résumé

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.

Domaines

Matière Molle [cond-mat.soft] Biomécanique [physics.med-ph]

Fichier principal

main.pdf (626.55 Ko)

figures/2D_cortex_VFC_graphs_modules1.png (16.69 Ko)

figures/3D_H3_avec_cortex_VFC_graphs_modules1.png (14.12 Ko)

figures/3D_H3_geometrie.png (42.54 Ko)

figures/3D_hexa_schema_separation-apicale-laterale.PNG (42.25 Ko)

figures/H2H3-macrostress.png (30.81 Ko)

figures/H2H3-macrostress.svg (333.31 Ko)

figures/H2H3-topview.png (26.35 Ko)

figures/H2H3-topview.svg (262.98 Ko)

figures/H3-geom.png (23.45 Ko)

figures/H3-geom.svg (189.41 Ko)

figures/fig_fit_FF_CVFC_global_withoutk_loglog.png (77.21 Ko)

figures/fig_fit_dataFF_k_mean_H2.png (46.37 Ko)

figures/fig_fit_fromFF_k_totissue_TVEF_loglog.png (66.39 Ko)

figures/fig_fit_fromFF_totissue_TVEF_loglog.png (68.31 Ko)

figures/fig_rheo_H3_nu_04_Maxwell.png (73.39 Ko)

figures/fig_rheo_H3_nu_05_CFC.png (12.08 Ko)

figures/fig_rheo_H3_nu_05_CFC_lowomega.png (12.85 Ko)

figures/fig_rheo_H3_nu_05_CVEC.png (14.22 Ko)

figures/fig_rheo_H3_nu_05_CVFC.png (12.52 Ko)

figures/fig_rheo_H3_nu_05_FF_CFC.png (15.01 Ko)

figures/fig_rheo_H3_nu_05_FF_CFC_lowomega.png (16.78 Ko)

figures/fig_rheo_H3_nu_05_withsimplemodel_CVC.png (17.29 Ko)

figures/fig_rheo_H3_nu_05_withsimplemodel_CVFC.png (19.08 Ko)

figures/fig_rheo_H3_nu_0_and_05_CVFC.png (20.97 Ko)

figures/fig_rheo_H3_nu_0_and_05_FF_CVFC.png (23.52 Ko)

figures/fig_rheo_cortex_CFC.png (14.31 Ko)

figures/fig_rheo_cortex_CVEC.png (78.27 Ko)

figures/fig_rheo_cortex_CVFC.png (13.59 Ko)

figures/fig_rheo_cortex_FF.png (17.2 Ko)

figures/fig_rheo_cortex_FF_CFC.png (16.46 Ko)

figures/schema-cortex-g-k-s0.png (12.11 Ko)

figures/schema-cortex-g-k-s0.svg (216.97 Ko)

figures/schema-tissu-E-K-G.png (5.48 Ko)

figures/schema-tissu-E-K-G.svg (190.07 Ko)

figures/schema-tissu-G-H-L.png (13.92 Ko)

figures/schema-tissu-G-H-L.svg (420.33 Ko)

figures/schema-tissu-K-H-L.png (12.91 Ko)

figures/schema-tissu-K-H-L.svg (765.07 Ko)

Origine : Fichiers produits par l'(les) auteur(s)

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https://hal.science/hal-03649586

Soumis le : vendredi 22 avril 2022-16:30:59

Dernière modification le : vendredi 19 avril 2024-16:18:55

Dates et versions

hal-03649586 , version 1 (22-04-2022)

hal-03649586 , version 2 (16-08-2022)

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HAL Id : hal-03649586 , version 1

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Étienne Moisdon, Pierre Seez, Camille Noûs, François Molino, Marcq Philippe, et al.. Mapping cell cortex rheology to tissue rheology, and vice-versa. 2022. ⟨hal-03649586v1⟩

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

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Dates et versions

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