Multiphase Field Model of Cells on a Substrate: From 3D to 2D
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912230114590720 |
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| author | Chiang, Michael Hopkins, Austin Loewe, Benjamin Marenduzzo, Davide Marchetti, M. Cristina |
| author_facet | Chiang, Michael Hopkins, Austin Loewe, Benjamin Marenduzzo, Davide Marchetti, M. Cristina |
| contents | Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living tissue, the theoretical underpinnings have not been fully explored. We show that a two-dimensional version of the model, which is commonly employed to study tissue monolayers, can be derived from a three-dimensional version in the presence of a substrate. We also show how viscous forces, which arise from friction between different cells, can be included in the model. Finally, we numerically simulate a tissue monolayer, and find that intercellular friction tends to solidify the tissue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiphase Field Model of Cells on a Substrate: From 3D to 2D Chiang, Michael Hopkins, Austin Loewe, Benjamin Marenduzzo, Davide Marchetti, M. Cristina Soft Condensed Matter Biological Physics Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living tissue, the theoretical underpinnings have not been fully explored. We show that a two-dimensional version of the model, which is commonly employed to study tissue monolayers, can be derived from a three-dimensional version in the presence of a substrate. We also show how viscous forces, which arise from friction between different cells, can be included in the model. Finally, we numerically simulate a tissue monolayer, and find that intercellular friction tends to solidify the tissue. |
| title | Multiphase Field Model of Cells on a Substrate: From 3D to 2D |
| topic | Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2403.10715 |