Confluent and nonconfluent phases in a model of cell tissue

Teomy, Eial; Kessler, David A.; Levine, Herbert

doi:10.1103/physreve.98.042418

Cited by 31 publications

(26 citation statements)

References 28 publications

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“…Our model assumes the tailbud tissue is confluent, with no gaps between cells. In the zebrafish tailbud, it is possible that there may be small gaps between cells, in which case the viscoelasticity will be controlled by the packing density in addition to cell shape [54,55]. Nevertheless, we expect the results developed here are still broadly applicable, as the drag forces generated by both confluent and non-confluent models should be fairly similar.…”

Section: Discussionmentioning

confidence: 75%

Tissue Flow Induces Cell Shape Changes During Organogenesis

Erdemci-Tandogan

Clark

Amack

et al. 2018

Biophysical Journal

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In embryonic development, cell shape changes are essential for building functional organs, but in many cases the mechanisms that precisely regulate these changes remain unknown. We propose that fluid-like drag forces generated by the motion of an organ through surrounding tissue could generate changes to its structure that are important for its function. To test this hypothesis, we study the zebrafish left-right organizer, Kupffer's vesicle (KV), using experiments and mathematical modeling. During development, monociliated cells that comprise the KV undergo region-specific shape changes along the anterior-posterior axis that are critical for KV function: anterior cells become long and thin, while posterior cells become short and squat. Here, we develop a mathematical vertex-like model for cell shapes, which incorporates both tissue rheology and cell motility, and constrain the model parameters using previously published rheological data for the zebrafish tailbud [Serwane et al.] as well as our own measurements of the KV speed. We find that drag forces due to dynamics of cells surrounding the KV could be sufficient to drive KV cell shape changes during KV development. More broadly, these results suggest that cell shape changes could be driven by dynamic forces not typically considered in models or experiments.

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Section: Discussionmentioning

confidence: 75%

Tissue Flow Induces Cell Shape Changes During Organogenesis

Erdemci-Tandogan

Clark

Amack

et al. 2018

Biophysical Journal

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“…Fluid-like Propulsion speed Persistence Shape index work that generalizes the Voronoi model to non-confluent tissues [118]. In general, network models are particularly suited to study the role of cell geometry and topological rearrangements on cell motion.…”

Section: -5mentioning

confidence: 99%

Physical Models of Collective Cell Migration

Alert

Trepat

2020

Annu. Rev. Condens. Matter Phys.

297

269

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Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue of the cell-cell and cell-substrate interactions that govern cell migration, which we classify into positional and orientational interactions. We then review the physical models that have been developed to explain how these interactions give rise to collective cellular movement. These models span the sub-cellular to the supracellular scales, and they include lattice models, phase fields models, active network models, particle models, and continuum models. For each type of model, we discuss its formulation, its limitations, and the main emergent phenomena that it has successfully explained. These phenomena include flocking and fluid-solid transitions, as well as wetting, fingering, and mechanical waves in spreading epithelial monolayers. We close by outlining remaining challenges and future directions in the physics of collective cell migration.

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“…Rigidity transitions have also been identified in dense biological tissues (29)(30)(31)(32)(33). In particular, vertex or Voronoi models that describe tissues as a tessellation of space into polygons or polyhedra exhibit rigidity transitions (34)(35)(36)(37)(38)(39)(40)(41)(42)(43)(44)(45)(46)(47)(48)(49), which share…”

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confidence: 99%

A minimal-length approach unifies rigidity in underconstrained materials

Merkel

Baumgarten

Tighe

et al. 2019

Proc. Natl. Acad. Sci. U.S.A.

105

155

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We present a novel approach to understand geometricincompatibility-induced rigidity in under-constrained materials, including sub-isostatic 2D spring networks and 2D and 3D vertex models for dense biological tissues. We show that in all these models a geometric criterion, represented by a minimal length min , determines the onset of prestresses and rigidity. This allows us to predict not only the correct scalings for the elastic material properties, but also the precise magnitudes for bulk modulus and shear modulus discontinuities at the rigidity transition as well as the magnitude of the Poynting effect. We also predict from first principles that the ratio of the excess shear modulus to the shear stress should be inversely proportional to the critical strain with a prefactor of three, and propose that this factor of three is a general hallmark of geometrically induced rigidity in under-constrained materials and could be used to distinguish this effect from nonlinear mechanics of single components in experiments. Lastly, our results may lay important foundations for ways to estimate¯ min from measurements of local geometric structure, and thus help develop methods to characterize large-scale mechanical properties from imaging data. M.M., B.P.T., and M.L.M. designed the research, M.M. performed the research and analyzed the data, K.B. provided important simulation data, M.M., B.P.T., and M.L.M. wrote the paper.The authors declare no conflict of interest.

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Confluent and nonconfluent phases in a model of cell tissue

Cited by 31 publications

References 28 publications

Tissue Flow Induces Cell Shape Changes During Organogenesis

Tissue Flow Induces Cell Shape Changes During Organogenesis

Physical Models of Collective Cell Migration

A minimal-length approach unifies rigidity in underconstrained materials

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