Active dynamics of tissue shear flow
arXiv:1607.03304 · doi:10.1088/1367-2630/aa5756
Abstract
We present a hydrodynamic theory to describe shear flows in developing epithelial tissues. We introduce hydrodynamic fields corresponding to state properties of constituent cells as well as a contribution to overall tissue shear flow due to rearrangements in cell network topology. We then construct a generic linear constitutive equation for the shear rate due to topological rearrangements and we investigate a novel rheological behaviour resulting from memory effects in the tissue. We identify two distinct active cellular processes: generation of active stress in the tissue, and actively driven topological rearrangements. We find that these two active processes can produce distinct cellular and tissue shape changes, depending on boundary conditions applied on the tissue. Our findings have consequences for the understanding of tissue morphogenesis during development.
References in corpus (6)
- Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
- Propagating stress waves during epithelial expansion
- Discrete rearranging disordered patterns, part I: Robust statistical tools in two or three dimensions
- An elastic, plastic, viscous model for slow shear of a liquid foam
- One-dimensional collective migration of a proliferating cell monolayer
- Hydrodynamics of stratified epithelium: steady state and linearized dynamics
Cited by in corpus (12)
- Fluidization of epithelial sheets by active cell rearrangements
- From cells to tissue: A continuum model of epithelial mechanics
- Onsager's variational principle in active soft matter
- Nonlinear Rheology in a Model Biological Tissue
- Active morphogenesis of patterned epithelial shells
- Active T1 transitions in cellular networks
- Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations
- Variational methods and deep Ritz method for active elastic solids
- Poisson-bracket formulation of the dynamics of fluids of deformable particles
- Viscocapillary Instability in Cellular Spheroids
- On continuum modeling of cell aggregation phenomena
- Spontaneous Bending of Hydra Tissue Fragments Driven by Supracellular Actomyosin Bundles