ArticleBiophysical journal2014
A simple force-motion relation for migrating cells revealed by multipole analysis of traction stress.
Article in Biophysical journal, 2014. 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.
- A Mathematical Model for Chemo-Mechanically Induced Collective Cell Motility on Planar Elastic Substrates.International journal for numerical methods in biomedical engineering · 2026Article
- Quantitative analysis of fibroblast migration reveals migratory states characterized by force generation, cell shape and motion.bioRxiv : the preprint server for biology · 2026Article
- Statistical and mechanical analysis of multi-pseudopodial locomotion in a testate amoeba, Arcella sp.Proceedings of the Japan Academy. Series B, Physical and biological sciences · 2026Article
- Effects of curvature on growing films of microorganisms.Biophysical journal · 2025Article
- Membrane to cortex attachment determines different mechanical phenotypes in LGR5+ and LGR5- colorectal cancer cells.Nature communications · 2024Article
- Reversible Host-Guest Crosslinks in Supramolecular Hydrogels for On-Demand Mechanical Stimulation of Human Mesenchymal Stem Cells.Advanced healthcare materials · 2024Article
- Forceful patterning: theoretical principles of mechanochemical pattern formation.EMBO reports · 2023Review
- Unified multiscale theory of cellular mechanical adaptations to substrate stiffness.Biophysical journal · 2022Article
- The role of cellular traction forces in deciphering nuclear mechanics.Biomaterials research · 2022Review
- 3D single cell migration driven by temporal correlation between oscillating force dipoles.eLife · 2022Article
- Mechanochemical subcellular-element model of crawling cells.Frontiers in cell and developmental biology · 2022Article
- The Interplay Between Cell-Cell and Cell-Matrix Forces Regulates Cell Migration Dynamics.Biophysical journal · 2019Article
- Substrate mediated interaction between pairs of keratocytes: Multipole traction force models describe their migratory behavior.PloS one · 2019Article
- Persistent random deformation model of cells crawling on a gel surface.Scientific reports · 2018Article
- Holographic Traction Force Microscopy.Scientific reports · 2018Article
- The role of talin2 in breast cancer tumorigenesis and metastasis.Oncotarget · 2017Article
- Mean deformation metrics for quantifying 3D cell-matrix interactions without requiring information about matrix material properties.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Force transmission during adhesion-independent migration.Nature cell biology · 2015Article
- Traction force and tension fluctuations in growing axons.Frontiers in cellular neuroscience · 2015Article
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2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
For biophysical understanding of cell motility, the relationship between mechanical force and cell migration must be uncovered, but it remains elusive. Since cells migrate at small scale in dissipative circumstances, the inertia force is negligible and all forces should cancel out. This implies that one must quantify the spatial pattern of the force instead of just the summation to elucidate the force-motion relation. Here, we introduced multipole analysis to quantify the traction stress dynamics of migrating cells. We measured the traction stress of Dictyostelium discoideum cells and investigated the lowest two moments, the force dipole and quadrupole moments, which reflect rotational and front-rear asymmetries of the stress field. We derived a simple force-motion relation in which cells migrate along the force dipole axis with a direction determined by the force quadrupole. Furthermore, as a complementary approach, we also investigated fine structures in the stress field that show front-rear asymmetric kinetics consistent with the multipole analysis. The tight force-motion relation enables us to predict cell migration only from the traction stress patterns.
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