ArticleCell2021
Rigidity percolation uncovers a structural basis for embryonic tissue phase transitions.
Article in Cell, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 95 papers.
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Who cites it
95 citing papers in PubMed, 213 citations in OpenAlex.
- Cell jamming transition is regulated by mitochondrial pyruvate transport and endocytosis.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Substrate heterogeneity promotes cancer cell dissemination through interface roughening.Science advances · 2026Article
- Contact percolation governs collective motility via mechano-chemical feedback in heterogeneous breast cancer.Nature communications · 2026Article
- Elastic Fibers in the Pathogenesis of Cystic Fibrosis: Mechanisms, Consequences, and Therapeutic Implications.Life (Basel, Switzerland) · 2026Review
- The role of geometry in morphogenesis.Development (Cambridge, England) · 2026Review
- Cell and tissue mechanics in 3-D organ morphogenesis: Insights from Drosophila pupal retina development.Developmental biology · 2026Review
- Cell division sets a universal flow geometry in cell layers.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
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- Concurrent jamming and mesenchymal-to-epithelial transitions during airway basal stem cell differentiation.iScience · 2026Article
- Tissue organization and morphogen gradients dynamically tune one another.Nature cell biology · 2026Article
- Tissue rigidity phase transition shapes morphogen gradients.Nature cell biology · 2026Article
- Measuring morphogen transport over multiple spatial scales in live zebrafish embryos.Nature communications · 2026Article
- Dynamic heterogeneity and hidden fluidity in dense epithelial tissues.Science advances · 2026Article
- Adhesion differentials control the rheology of biomimetic emulsions.Biophysical journal · 2026Article
- Sulfatase modifying factors control the timing of zebrafish convergence and extension morphogenesis.Nature communications · 2026Article
- Article
- Design and optimization of in situ self-functionalizing stress sensors.The European physical journal. E, Soft matter · 2026Article
- Adhesion-driven rigidity transition decoupled from density-driven jamming triggers epithelial organization in embryonic tissues.Nature physics · 2026Article
- Tissue fluidity mediates a trade-off between the speed and accuracy of multicellular patterning by cell sorting.Biophysical journal · 2025Article
- Active foam dynamics of tissue spheroid fusion.Nature communications · 2025Article
35 more citing papers are in PubMed but not listed here.
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Authors and funding
4 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Embryo morphogenesis is impacted by dynamic changes in tissue material properties, which have been proposed to occur via processes akin to phase transitions (PTs). Here, we show that rigidity percolation provides a simple and robust theoretical framework to predict material/structural PTs of embryonic tissues from local cell connectivity. By using percolation theory, combined with directly monitoring dynamic changes in tissue rheology and cell contact mechanics, we demonstrate that the zebrafish blastoderm undergoes a genuine rigidity PT, brought about by a small reduction in adhesion-dependent cell connectivity below a critical value. We quantitatively predict and experimentally verify hallmarks of PTs, including power-law exponents and associated discontinuities of macroscopic observables. Finally, we show that this uniform PT depends on blastoderm cells undergoing meta-synchronous divisions causing random and, consequently, uniform changes in cell connectivity. Collectively, our theoretical and experimental findings reveal the structural basis of material PTs in an organismal context.
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