ArticlePLoS computational biology2017
A free-boundary model of a motile cell explains turning behavior.
Article in PLoS computational biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Nonlinear Stability in a Free Boundary Model of Active Locomotion.Archive for rational mechanics and analysis · 2026Article
- Local monomer levels and established filaments potentiate non-muscle myosin 2 assembly.The Journal of cell biology · 2024Article
- Generation of a Virtual Cell using a Phase Field Approach to Model Amoeboid Crawling.Methods in molecular biology (Clifton, N.J.) · 2024Article
- Self-emergent vortex flow of microtubule and kinesin in cell-sized droplets under water/water phase separation.Communications chemistry · 2023Article
- Coupling cell shape and velocity leads to oscillation and circling in keratocyte galvanotaxis.Biophysical journal · 2023Article
- Modeling cell protrusion predicts how myosin II and actin turnover affect adhesion-based signaling.Biophysical journal · 2022Article
- Local actin dynamics couple speed and persistence in a cellular Potts model of cell migration.Biophysical journal · 2021Article
- Quantifying the roles of space and stochasticity in computer simulations for cell biology and cellular biochemistry.Molecular biology of the cell · 2021Article
- Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- Membrane Tension Can Enhance Adaptation to Maintain Polarity of Migrating Cells.Biophysical journal · 2020Article
- Cell Mechanics at the Rear Act to Steer the Direction of Cell Migration.Cell systems · 2020Article
- Actomyosin Contraction Induces In-Bulk Motility of Cells and Droplets.Biophysical journal · 2020Article
- Simple Rho GTPase Dynamics Generate a Complex Regulatory Landscape Associated with Cell Shape.Biophysical journal · 2020Article
- Actin assembly produces sufficient forces for endocytosis in yeast.Molecular biology of the cell · 2019Article
- Article
- A Review of Cell-Based Computational Modeling in Cancer Biology.JCO clinical cancer informatics · 2019Review
- Article
- On the relation between filament density, force generation, and protrusion rate in mesenchymal cell motility.Molecular biology of the cell · 2018Article
- Theoretical Models of Neural Development.iScience · 2018Review
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7 authors.
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Abstract
To understand shapes and movements of cells undergoing lamellipodial motility, we systematically explore minimal free-boundary models of actin-myosin contractility consisting of the force-balance and myosin transport equations. The models account for isotropic contraction proportional to myosin density, viscous stresses in the actin network, and constant-strength viscous-like adhesion. The contraction generates a spatially graded centripetal actin flow, which in turn reinforces the contraction via myosin redistribution and causes retraction of the lamellipodial boundary. Actin protrusion at the boundary counters the retraction, and the balance of the protrusion and retraction shapes the lamellipodium. The model analysis shows that initiation of motility critically depends on three dimensionless parameter combinations, which represent myosin-dependent contractility, a characteristic viscosity-adhesion length, and a rate of actin protrusion. When the contractility is sufficiently strong, cells break symmetry and move steadily along either straight or circular trajectories, and the motile behavior is sensitive to conditions at the cell boundary. Scanning of a model parameter space shows that the contractile mechanism of motility supports robust cell turning in conditions where short viscosity-adhesion lengths and fast protrusion cause an accumulation of myosin in a small region at the cell rear, destabilizing the axial symmetry of a moving cell.
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