Shear-driven solidification and nonlinear elasticity in epithelial tissues
arXiv:2109.10374 · doi:10.1103/PhysRevLett.128.178001
Abstract
Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue to bulk shear deformations remain, however, poorly understood. Using a minimal cell-based computational model, we investigate the constitutive relation of confluent tissues under simple shear deformation. We show that an initially undeformed fluidlike tissue acquires finite rigidity above a critical applied strain. This is akin to the shear-driven rigidity observed in other soft matter systems. Interestingly, shear-driven rigidity can be understood by a critical scaling analysis in the vicinity of the second order critical point that governs the liquid-solid transition of the undeformed system. We further show that a solidlike tissue responds linearly only to small strains and but then switches to a nonlinear response at larger stains, with substantial stiffening. Finally, we propose a mean-field formulation for cells under shear that offers a simple physical explanation of shear-driven rigidity and nonlinear response in a tissue.
References in corpus (26)
- A density-independent glass transition in biological tissues
- Modeling semiflexible polymer networks
- Motility-driven glass and jamming transitions in biological tissues
- Odd elasticity
- Universal geometric constraints during epithelial jamming
- Cadherin-Based Intercellular Adhesions Organize Epithelial Cell-Matrix Traction Forces
- A master relation defines the nonlinear viscoelasticity of single fibroblasts
- Traction force microscopy on soft elastic substrates: a guide to recent computational advances
- Mechanical Stress Inference for Two Dimensional Cell Arrays
- Scaling of Traction Forces with Size of Cohesive Cell Colonies
- Anisotropy links cell shapes to tissue flow during convergent extension
- Nonaffine Correlations in Random Elastic Media
- Correlating Cell Shape and Cellular Stress in Motile Confluent Tissues
- Discrete rearranging disordered patterns, part I: Robust statistical tools in two or three dimensions
- A minimal-length approach unifies rigidity in under-constrained materials
- Multicellular rosettes drive fluid-solid transition in epithelial tissues
- Mechanical heterogeneity in tissues promotes rigidity and controls cellular invasion
- Geometric frustration and solid-solid transitions in model 2D tissue
- Linear Viscoelastic Properties of the Vertex Model for Epithelial Tissues
- A biological tissue-inspired tunable photonic fluid
- Controlled neighbor exchanges drive glassy behavior, intermittency and cell streaming in epithelial tissues
- Pressure-dependent shear response of jammed packings of spherical particles
- Active instability and nonlinear dynamics of cell-cell junctions
- Anomalous elasticity of cellular tissue vertex model
- Poisson-bracket formulation of the dynamics of fluids of deformable particles
- Unconventional rheological properties in systems of deformable particles
Cited by in corpus (17)
- Linear Viscoelastic Properties of the Vertex Model for Epithelial Tissues
- Ductile-to-brittle transition and yielding in soft amorphous materials: perspectives and open questions
- Yielding and plasticity in amorphous solids
- The role of non-affine deformations in the elastic behavior of the cellular vertex model
- Non-affine deformation of semiflexible polymer and fiber networks
- Yield Stress and Compliance in Active Cell Monolayers
- Anomalous elasticity of cellular tissue vertex model
- Linear Viscoelastic Response of the Vertex Model with Internal and External Dissipation: Normal Modes Analysis
- Bridging the Gap Between Collective Motility and Epithelial-Mesenchymal Transitions through the Active Finite Voronoi Model
- Discontinuous shear thickening in biological tissue rheology
- Origin of yield stress and mechanical plasticity in model biological tissues
- Learning Dynamics from Multicellular Graphs with Deep Neural Networks
- The Cellular Potts Model on Disordered Lattices
- Minimal model of an active solid deviates from equilibrium mechanics
- Spectral approaches to stress relaxation in epithelial monolayers
- Understanding Flow Behaviors of Supercooled Liquids by Embodying Solid-Liquid Duality at Particle Level
- A Mechanistic Model of the Organization of Cell Shapes in Epithelial Tissues