Universal principles of cell population growth follow from local contact inhibition

[2108.10000] Universal principles of cell population growth follow from local contact inhibition Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantitative Biology > Populations and Evolution arXiv:2108.10000 (q-bio) [Submitted on 23 Aug 2021 ( v1 ), last revised 15 Apr 2026 (this version, v2)] Title: Universal principles of cell population growth follow from local contact inhibition Authors: Gregory J. Kimmel , Sadegh Marzban , Mehdi Damaghi , Arne Traulsen , Alexander R. A. Anderson , Jeffrey West , Philipp M. Altrock View a PDF of the paper titled Universal principles of cell population growth follow from local contact inhibition, by Gregory J. Kimmel and 6 other authors View PDF HTML (experimental) Abstract: Cancer cell populations often exhibit remarkably similar growth laws despite their heterogeneity. Explanations of universal cell population growth remain partly unresolved to this day. Here, we present a growth-law unification by investigating the connection between microscopic assumptions and the expected contact inhibition, which leads to five classical tumor growth laws: exponential, radial growth, fractal growth, generalized logistic, and Gompertzian growth. All five can be seen as manifestations of a single microscopic model. Agent-based simulations substantiate our theory, and we can explain differences in growth curves in experimental data from em in vitro cancer cell population growth. Thus, our framework offers a possible explanation for many mean-field laws used to empirically capture seemingly unrelated cancer or microbial growth dynamics. Our results highlight that the interplay between contact inhibition and other assumptions (e.g., well-mixed) can influence our quantitative understanding of how cancer cells grow and, in turn, how they may interact. Comments: 41 pages, 6 main figures, 2 tables, 67 references, 4 supplementary figures Subjects: Populations and Evolution (q-bio.PE) ; Statistical Mechanics (cond-mat.stat-mech); Cellular Automata and Lattice Gases (nlin.CG) Cite as: arXiv:2108.10000 [q-bio.PE] (or arXiv:2108.10000v2 [q-bio.PE] for this version) https://doi.org/10.48550/arXiv.2108.10000 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Philipp Altrock [ view email ] [v1] Mon, 23 Aug 2021 08:17:20 UTC (2,417 KB) [v2] Wed, 15 Apr 2026 07:56:55 UTC (3,912 KB) Full-text links: Access Paper: View a PDF of the paper titled Universal principles of cell population growth follow from local contact inhibition, by Gregory J. Kimmel and 6 other authors View PDF HTML (experimental) TeX Source view license Current browse context: q-bio.PE < prev | next > new | recent | 2021-08 Change to browse by: cond-mat cond-mat.stat-mech nlin nlin.CG q-bio References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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) Major funding support from

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