ArticlePLoS computational biology2011
Theoretical model for cellular shapes driven by protrusive and adhesive forces.
Article in PLoS computational biology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
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25 citing papers in PubMed.
- Recursive feedback between Piezo1 conformation and membrane mechanics drives self-organization into finite clusters.bioRxiv : the preprint server for biology · 2026Article
- CdSe/ZnS Quantum Dots' Impact on In Vitro Actin Dynamics.International journal of molecular sciences · 2024Article
- Cell Shape and Durotaxis Explained from Cell-Extracellular Matrix Forces and Focal Adhesion Dynamics.iScience · 2020Article
- Cell-Substrate Patterns Driven by Curvature-Sensitive Actin Polymerization: Waves and Podosomes.Cells · 2020Article
- Cortical contraction drives the 3D patterning of epithelial cell surfaces.The Journal of cell biology · 2020Article
- Modeling membrane nanotube morphology: the role of heterogeneity in composition and material properties.Scientific reports · 2020Article
- Modeling Membrane Curvature Generation due to Membrane⁻Protein Interactions.Biomolecules · 2018Review
- Guided by curvature: shaping cells by coupling curved membrane proteins and cytoskeletal forces.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2018Review
- Bleb Expansion in Migrating Cells Depends on Supply of Membrane from Cell Surface Invaginations.Developmental cell · 2017Article
- A free-boundary model of a motile cell explains turning behavior.PLoS computational biology · 2017Article
- Modeling the Excess Cell Surface Stored in a Complex Morphology of Bleb-Like Protrusions.PLoS computational biology · 2016Article
- Protrusive waves guide 3D cell migration along nanofibers.The Journal of cell biology · 2015Article
- Multiple scale model for cell migration in monolayers: Elastic mismatch between cells enhances motility.Scientific reports · 2015Article
- Physical principles of membrane remodelling during cell mechanoadaptation.Nature communications · 2015Article
- Flightless I interacts with NMMIIA to promote cell extension formation, which enables collagen remodeling.Molecular biology of the cell · 2015Article
- Three-dimensional numerical model of cell morphology during migration in multi-signaling substrates.PloS one · 2015Article
- Exploring the elasticity and adhesion behavior of cardiac fibroblasts by atomic force microscopy indentation.Materials science & engineering. C, Materials for biological applications · 2014Article
- Dynamics and instabilities of lipid bilayer membrane shapes.Advances in colloid and interface science · 2014Review
- Envisioning migration: mathematics in both experimental analysis and modeling of cell behavior.Current opinion in cell biology · 2013Review
- Dynamic modeling of cell migration and spreading behaviors on fibronectin coated planar substrates and micropatterned geometries.PLoS computational biology · 2013Article
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5 authors.
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Abstract
The forces that arise from the actin cytoskeleton play a crucial role in determining the cell shape. These include protrusive forces due to actin polymerization and adhesion to the external matrix. We present here a theoretical model for the cellular shapes resulting from the feedback between the membrane shape and the forces acting on the membrane, mediated by curvature-sensitive membrane complexes of a convex shape. In previous theoretical studies we have investigated the regimes of linear instability where spontaneous formation of cellular protrusions is initiated. Here we calculate the evolution of a two dimensional cell contour beyond the linear regime and determine the final steady-state shapes arising within the model. We find that shapes driven by adhesion or by actin polymerization (lamellipodia) have very different morphologies, as observed in cells. Furthermore, we find that as the strength of the protrusive forces diminish, the system approaches a stabilization of a periodic pattern of protrusions. This result can provide an explanation for a number of puzzling experimental observations regarding cellular shape dependence on the properties of the extra-cellular matrix.
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