ArticleScience advances2023
Topological packing statistics of living and nonliving matter.
Article in Science advances, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Deep learning-based high-information-content graph representation of early stage bacterial biofilms.NPJ biofilms and microbiomes · 2026Article
- DNA-PAINT resolves E-cadherin-independent cross-junctional F-actin organization in Drosophila embryonic tissue.Biophysical journal · 2026Article
- Optimal disk packing of chloroplasts in plant cells.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Polarity-JaM: an image analysis toolbox for cell polarity, junction and morphology quantification.Nature communications · 2025Article
- Controlling noise with self-organized resetting.Communications physics · 2025Article
- Learning collective cell migratory dynamics from a static snapshot with graph neural networks.ArXiv · 2024Article
- CShaperApp: Segmenting and analyzing cellular morphologies of the developingQuantitative biology (Beijing, China) · 2024Article
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Authors and funding
5 authors.
Funding
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Abstract
Complex disordered matter is of central importance to a wide range of disciplines, from bacterial colonies and embryonic tissues in biology to foams and granular media in materials science to stellar configurations in astrophysics. Because of the vast differences in composition and scale, comparing structural features across such disparate systems remains challenging. Here, by using the statistical properties of Delaunay tessellations, we introduce a mathematical framework for measuring topological distances between general three-dimensional point clouds. The resulting system-agnostic metric reveals subtle structural differences between bacterial biofilms as well as between zebrafish brain regions, and it recovers temporal ordering of embryonic development. We apply the metric to construct a universal topological atlas encompassing bacterial biofilms, snowflake yeast, plant shoots, zebrafish brain matter, organoids, and embryonic tissues as well as foams, colloidal packings, glassy materials, and stellar configurations. Living systems localize within a bounded island-like region of the atlas, reflecting that biological growth mechanisms result in characteristic topological properties.
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