From cells to tissue: A continuum model of epithelial mechanics
arXiv:1611.05707 · doi:10.1103/PhysRevE.96.022418
Abstract
A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite deformation, and incorporates stress and deformation tensors, which can be compared with experimental data. Using this model, we elucidated dynamical behavior underlying passive relaxation, active contraction-elongation, and tissue shear flow. This study provides an integrated scheme for the understanding of the mechanisms that are involved in orchestrating the morphogenetic processes in individual cells, in order to achieve epithelial tissue morphogenesis.
33 pages, 8 figures
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Cited by in corpus (13)
- Mechanical characterization of disordered and anisotropic cellular monolayers
- Fast determination of coarse grained cell anisotropy and size in epithelial tissue images using Fourier transform
- Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations
- The role of the cell cycle in collective cell dynamics
- Kalman inversion stress microscopy
- Poisson-bracket formulation of the dynamics of fluids of deformable particles
- Mapping cell cortex rheology to tissue rheology, and vice-versa
- Couple stresses and discrete potentials in the vertex model of cellular monolayers
- Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium
- Coarse-graining the vertex model and its response to shear
- Spectral approaches to stress relaxation in epithelial monolayers
- Mechanics and thermodynamics of contractile entropic biopolymer networks
- Soliton approximation in continuum models of leader-follower behavior