Simulation of biological cell sorting using a two-dimensional extended Potts model
Abstract
We simulate the sorting of a mixture of two types of biological cells using a modified version of the large-Q Potts model with differential adhesivity. We find long-distance cell movement leading to sorting with a logarithmic increase in the length scale of homogeneous clusters. Sorted clusters then round. We find two successive phases: A rapid boundary-driven creation of a low-cohesivity cell monolayer around the aggregate, and a slower boundary-independent internal rearrangement.
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In cell sorting, a randomly mixed cell population displaying two or more cell types experiences a global arrangement due to differential adhesion energies.
“An example is illustrated by the classical work on cell sorting (figure 6d), where a randomly mixed cell population displaying two or more cell types experiences a global arrangement due to differential adhesion energies [228,229].”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [228]
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Steinberg, M. S. (1975) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(75)80091-9 · Cited by 97 · see citing works
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A density-independent rigidity transition in biological tissues
Bi, D., Lopez, J. H., Schwarz, J. M., & Manning, M. L. (2015) · Nature Physics · doi:10.1038/nphys3471 · Cited by 801 · see citing works
Fusion of uniluminal vascular spheroids: A model for assembly of blood vessels
Fleming, P. A., Argraves, W. S., Gentile, C., Neagu, A., Forgacs, G., & Drake, C. J. (2010) · Developmental Dynamics · doi:10.1002/dvdy.22161 · Cited by 123 · see citing works
Fundamental constraints to the logic of living systems
Solé, R., Kempes, C. P., Corominas-Murtra, B., De Domenico, M., Kolchinsky, A., Lachmann, M., Libby, E., Saavedra, S., Smith, E., & Wolpert, D. (2024) · Interface Focus · doi:10.1098/rsfs.2024.0010 · Cited by 34 · see citing works
- Authors
- Graner, F., & Glazier, J. A.
- Affiliations
- Tohoku University (JP)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-09-28
- Volume
- 69
- Issue
- 13
- Pages
- 2013-2016
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2002785668
- Cited by
- 1,377
- References
- 1
- Citations by year
- 2026: 63 · 2025: 55 · 2024: 84 · 2023: 110 · 2022: 70 · 2021: 94 · 2020: 75 · 2019: 69 · 2018: 70 · 2017: 69 · 2016: 66 · 2015: 68 · 2014: 54 · 2013: 57 · 2012: 72
- FWCI
- 1.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Cellular Mechanics and Interactions
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
- Keywords
- cell sorting, cell adhesion, cell monolayers, cluster formation, cell rearrangement, active matter
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