Multiphase field model of cells on a substrate: From three dimensional to two dimensional

Michael Chiang*, Austin Hopkins*, Benjamin Loewe, Davide Marenduzzo, M. Cristina Marchetti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number044403
Pages (from-to)1-15
Number of pages15
JournalPhysical Review E
Volume110
Issue number4
DOIs
Publication statusPublished - 17 Oct 2024

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