{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/statistical-properties-of-3d-cell-geometry","title":"Statistical properties of 3D cell geometry from 2D slices","arxiv_id":"1802.09131","date":"2018-06-26","proceeding":null,"authors":[],"abstract":"Although cell shape can reflect the mechanical and biochemical properties of\nthe cell and its environment, quantification of 3D cell shapes within 3D\ntissues remains difficult, typically requiring digital reconstruction from a\nstack of 2D images. We investigate a simple alternative technique to extract\ninformation about the 3D shapes of cells in a tissue; this technique connects\nthe ensemble of 3D shapes in the tissue with the distribution of 2D shapes\nobserved in independent 2D slices. Using cell vertex model geometries, we find\nthat the distribution of 2D shapes allows clear determination of the mean value\nof a 3D shape index. We analyze the errors that may arise in practice in the\nestimation of the mean 3D shape index from 2D imagery and find that typically\nonly a few dozen cells in 2D imagery are required to reduce uncertainty below\n2\\%. This framework could be naturally extended to estimate additional 3D\ngeometric features and quantify their uncertainty in other materials.","url_abs":"http://arxiv.org/abs/1802.09131v2","url_pdf":"http://arxiv.org/pdf/1802.09131v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"statistical-properties-of-3d-cell-geometry","repo_url":"https://github.com/SimonsGlass/ShapeIndexDistributions","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}