A mechanism for cell motility by active polar gels

Abstract

We analyse a generic motility model, with the motility mechanism arising by contractile stress due to the interaction of myosin and actin. A hydrodynamic active polar gel theory is used to model the cytoplasm of a cell and is combined with a Helfrich-type model to account for membrane properties. The overall model allows to consider motility without the necessity for local adhesion. Besides a detailed numerical approach together with convergence studies for the highly nonlinear free boundary problem, we also compare the induced flow field of the motile cell with that of classical squirmer models and identify the motile cell as a puller or pusher, depending on the strength of the myosin-actin interactions.

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Cited by in corpus (24)

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• Thin-Film Modelling of Resting and Moving Active Droplets
• Computational modeling of active deformable membranes embedded in 3D flows
• Membrane tension feedback on shape and motility of eukaryotic cells
• Topological and geometrical quantities in active cellular structures
• How many ways a cell can move: the modes of self-propulsion of an active drop
• On an evolution equation in a cell motility model
• Coordinated motion of epithelial layers on curved surfaces
• The impact of contact inhibition on collective cell migration and proliferation
• Symmetry-breaking, motion and bistability of active drops through polarization-surface coupling
• Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements
• Derivation of a macroscopic model for Brownian hard needles
• Incompressible polar active fluids with quenched disorder in dimensions $d>2$
• Self-propulsion of an active polar drop
• Hydrodynamic interactions in polar liquid crystals on evolving surfaces
• Uniqueness and traveling waves in a cell motility model
• Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD
• A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains
• Modelling cell-cell collision and adhesion with the Filament Based Lamellipodium Model
• Stability, convergence, and sensitivity analysis of the Filament Based Lamellipodium Model and the corresponding FEM