ArticlePloS one2012
Study on multicellular systems using a phase field model.
Article in PloS one, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 56 papers.
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Who cites it
56 citing papers in PubMed.
- Cell competition driven by secreted ligands: Modeling liver metastasis of colorectal cancer.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Biophysics of lumen morphogenesis.Development (Cambridge, England) · 2026Review
- Multicellular simulations with shape and volume constraints using optimal transport.Science advances · 2026Article
- Phase-field modeling of border cell cluster migration in Drosophila.PLoS computational biology · 2026Article
- Physical models of embryonic epithelial healing.PLoS computational biology · 2026Review
- Partial fluidization theory of collective cell migration.Communications physics · 2026Article
- Permeability-driven pressure and cell proliferation control lumen morphogenesis in pancreatic organoids.Nature cell biology · 2026Article
- Modeling of viscous frictional force in multicellular morphogenesis.Biophysics and physicobiology · 2026Article
- Computational models in directed cell migration.Frontiers in cell and developmental biology · 2026Review
- Cooperative short- and long-range interactions enable robust symmetry breaking and axis formation.bioRxiv : the preprint server for biology · 2025Article
- Predicting organoid morphology through a phase field model: Insights into cell division and lumenal pressure.PLoS computational biology · 2025Article
- Generic comparison of lumen nucleation and fusion in epithelial organoids with and without hydrostatic pressure.Nature communications · 2025Article
- Vertex models capturing subcellular scales in epithelial tissues.PLoS computational biology · 2025Review
- Confinement, Jamming, and Adhesion in Cancer Cells Dissociating from a Collectively Invading Strand.PRX life · 2025Article
- Novel imaging and biophysical approaches to study tissue hydraulics in mammalian folliculogenesis.Biophysical reviews · 2024Review
- Derivation and simulation of a computational model of active cell populations: How overlap avoidance, deformability, cell-cell junctions and cytoskeletal forces affect alignment.PLoS computational biology · 2024Article
- Deposited footprints let cells switch between confined, oscillatory, and exploratory migration.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Cell deformability drives fluid-to-fluid phase transition in active cell monolayers.Science advances · 2024Article
- Effective mechanical potential of cell-cell interaction in tissues harboring cavity and in cell sheet toward morphogenesis.Frontiers in cell and developmental biology · 2024Article
- The ECM and tissue architecture are major determinants of early invasion mediated by E-cadherin dysfunction.Communications biology · 2023Article
Corrections and comments
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Authors and funding
1 author.
Funding
No grant is acknowledged in the PubMed record.
Abstract
A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell. The dynamics of each cell is based on the criteria for minimizing the surface area and retaining a certain volume. The effects of cell adhesion and excluded volume are also taken into account. The proposed model can be used to find the position of the membrane and/or the cortex of each cell without the need to adopt extra variables. This model is suitable for numerical simulations of a system having a large number of cells. The two-dimensional results of cell division, cell adhesion, rearrangement of a cell cluster, chemotaxis, and cell sorting as well as the three-dimensional results of cell clusters on the substrate are presented.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.