Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements

Abstract

Coordinated movements of epithelia tissue are linked with active matter processes. We here consider the influence of curvature on the spatiotemporal arrangements and the shapes of the cells. The cells are represented by a multiphase field model which is defined on the surface of a sphere. Besides the classical solid and liquid phases, which depend on the curvature of the sphere, on mechanical properties of the cells and the strength of activity, we identify a phase of global rotation. This rotation provides a coordinated cellular movement which can be linked to tissue morphogenesis. This investigation on a sphere is a first step to investigate the delicate interplay between topological constraints, geometric properties and collective motion. Besides the rotational state we also analyse positional defects, identify global nematic order and study the associated orientational defects.

7 pages, 8 figures

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Cited by in corpus (3)

• Coordinated motion of epithelial layers on curved surfaces
• Fractional and scaled Brownian motion on the sphere: The effects of long-time correlations on navigation strategies
• Active smectics on a sphere