Topological and geometrical quantities in active cellular structures

Abstract

Topological and geometrical properties and the associated topological defects find a rapidly growing interest in studying the interplay between mechanics and the collective behavior of cells on the tissue level. We here test if well studied equilibrium laws for polydisperse passive systems such as the Lewis's and the Aboav-Weaire's law are applicable also for active cellular structures. Large scale simulations, which are based on a multi phase field active polar gel model, indicate that these active cellular structures follow these laws. If the system is in a state of collective motion also quantitative agreement with typical values for passive systems is observed. If this state has not developed quantitative differences can be found. We further compare the model with discrete modeling approaches for cellular structures and show that essential properties, such as T1 transitions and rosettes are naturally fulfilled.

6 pages, 6 figures

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Cited by in corpus (8)

• Computational models for active matter
• Mechanical basis and topological routes to cell elimination
• Multiphase field models for collective cell migration
• Topological metric detects hidden order in disordered media
• Robust statistical properties of T1 transitions in confluent cell tissues
• Coordinated motion of epithelial layers on curved surfaces
• The impact of contact inhibition on collective cell migration and proliferation
• Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements