Solid-Liquid Transition of Deformable and Overlapping Active Particles

Abstract

Experiments and theory have shown that cell monolayers and epithelial tissues exhibit solid-liquid and glass-liquid transitions. These transitions are biologically relevant to our understanding of embryonic development, wound healing, and cancer. Current models typically consider purely two-dimensional monolayers with no overlaps between neighboring cells. In reality, overlaps are important, and they may be precursors of cell extrusion -- a key biophysical process to maintain homeostasis in epithelial tissues. Here, we use a multi-phase field model to study the solid-liquid transition in a confluent monolayer of deformable cells which can overlap. When cells overlap rather than deform, we find that the melting transition changes from continuous to discontinuous, and that there is an intermittent regime close to the transition, where solid and liquid states alternate over time. By studying the dynamics of $5$- and $7$-fold disclinations in the hexagonal lattice formed by the cell centers, we observe that these correlate with spatial fluctuations in the cellular overlap, and that cell extrusion tends to initiate near $5$-fold disclinations.

Figures have been updated and the text expanded. Main text (6 pages, 4 figures) plus SM (12 pages, 16 figures). Supplementary movies can be found at https://drive.google.com/open?id=1yfMf0aFqFlgjsGGjE0Zr3zo_eiIcREB9

References in corpus (18)

• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• A density-independent glass transition in biological tissues
• Motility-driven glass and jamming transitions in biological tissues
• Topological defect launches 3D mound in the active nematic sheet of neural progenitors
• Two-Dimensional Matter: Order, Curvature and Defects
• Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Universal geometric constraints during epithelial jamming
• Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
• Freezing and phase separation of self-propelled disks
• Emergence of active nematic behaviour in monolayers of isotropic cells
• A Measure of data-collapse for scaling
• Study on Multicellular Systems Using a Phase Field Model
• Multicellular rosettes drive fluid-solid transition in epithelial tissues
• Role of cell deformability in the two-dimensional melting of biological tissues
• Flow of deformable droplets: discontinuous shear thinning and velocity oscillations
• Confluent and non-confluent phases in a model of cell tissue

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• Robust statistical properties of T1 transitions in confluent cell tissues
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• Yield-stress transition in suspensions of deformable droplets
• Yield Stress and Compliance in Active Cell Monolayers
• Motility induced phase separation of deformable cells
• Bridging the Gap Between Collective Motility and Epithelial-Mesenchymal Transitions through the Active Finite Voronoi Model
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• Tuneable defect-curvature coupling and topological transitions in active shells
• The impact of contact inhibition on collective cell migration and proliferation
• Kinetic Monte-Carlo Algorithms for Active-Matter systems
• From single to collective motion of social amoebae: a computational study of interacting cells
• Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements
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• The Cellular Potts Model on Disordered Lattices
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• Active Jamming at Criticality
• Active wetting transitions induced by rotational noise at solid interfaces
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• Role of intercellular adhesion in modulating tissue fluidity
• Controlling the Glass Transition through Active Fluctuating Interactions
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• Active Inter-cellular Forces in Collective Cell Motility
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