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Title: Multiphase field model of cells on a substrate: From three dimensional to two dimensional
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. Published by the American Physical Society2024  more » « less
Award ID(s):
2041459
PAR ID:
10571350
Author(s) / Creator(s):
; ; ; ;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review E
Volume:
110
Issue:
4
ISSN:
2470-0045
Page Range / eLocation ID:
044403
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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