Morphological instability at topological defects in a three-dimensional vertex model for spherical epithelia

[2403.08954] Morphological instability at topological defects in a three-dimensional vertex model for spherical epithelia Skip to main content Search Submit Donate Log in Physics > Biological Physics arXiv:2403.08954 (physics) [Submitted on 13 Mar 2024] Title: Morphological instability at topological defects in a three-dimensional vertex model for spherical epithelia Authors: Oliver M. Drozdowski , Ulrich S. Schwarz (Heidelberg University, Germany) View PDF HTML (experimental) Abstract: Epithelial monolayers are a central building block of complex organisms. Topological defects have emerged as important elements for single cell behavior in flat epithelia. Here we theoretically study such defects in a three-dimensional vertex model for spherical epithelia like cysts or intestinal organoids. We find that they lead to the same generic morphological instability to an icosahedral shape as it is known from spherical elastic shells like virus capsids, polymerized vesicles or buckyballs. We derive analytical expressions for the effective stretching and bending moduli as a function of the parameters of the vertex model, in excellent agreement with computer simulations. These equations accurately predict both the buckling of a flat epithelial monolayer under uniaxial compression and the faceting transition around the topological defects in spherical epithelia. We further show that localized apico-basal tension asymmetries allow them to reduce the transition threshold to small system sizes. Comments: 5 pages, 5 figures, supplemental material Subjects: Biological Physics (physics.bio-ph) ; Soft Condensed Matter (cond-mat.soft); Tissues and Organs (q-bio.TO) Cite as: arXiv:2403.08954 [physics.bio-ph] (or arXiv:2403.08954v1 [physics.bio-ph] for this version) https://doi.org/10.48550/arXiv.2403.08954 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Physical Review Research 6, L022045 (2024) Related DOI : https://doi.org/10.1103/PhysRevResearch.6.L022045 Focus to learn more DOI(s) linking to related resources Submission history From: Ulrich S. Schwarz [ view email ] [v1] Wed, 13 Mar 2024 20:46:22 UTC (4,017 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: physics.bio-ph < prev | next > new | recent | 2024-03 Change to browse by: cond-mat cond-mat.soft physics q-bio q-bio.TO References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

Related documents

• Morphological instability at topological defects in a three-dimensional vertex model for spherical epithelia#677318
• Cell bulging and extrusion in a three-dimensional bubbly vertex model for curved epithelial sheets#247083
• Self-limited stacking of non-Euclidean colloidal shells: From saddles to caps#1051892
• The shapes of incongruent counterparts#759141
• NEMO: A Framework for Nematic and Morphological Analysis of Curved and Multi-layered Biological Surfaces#1070358