» Articles » PMID: 36525467

Interacting Active Surfaces: A Model for Three-dimensional Cell Aggregates

Overview
Specialty Biology
Date 2022 Dec 16
PMID 36525467
Authors
Affiliations
Soon will be listed here.
Abstract

We introduce a modelling and simulation framework for cell aggregates in three dimensions based on interacting active surfaces. Cell mechanics is captured by a physical description of the acto-myosin cortex that includes cortical flows, viscous forces, active tensions, and bending moments. Cells interact with each other via short-range forces capturing the effect of adhesion molecules. We discretise the model equations using a finite element method, and provide a parallel implementation in C++. We discuss examples of application of this framework to small and medium-sized aggregates: we consider the shape and dynamics of a cell doublet, a planar cell sheet, and a growing cell aggregate. This framework opens the door to the systematic exploration of the cell to tissue-scale mechanics of cell aggregates, which plays a key role in the morphogenesis of embryos and organoids.

Citing Articles

The maximum size of cell-aggregates is determined by the competition between the strain energy and the binding energy of cells.

Gentile F Heliyon. 2024; 10(23):e40560.

PMID: 39654728 PMC: 11625300. DOI: 10.1016/j.heliyon.2024.e40560.


The Mechanics of Building Functional Organs.

Andrews T, Priya R Cold Spring Harb Perspect Biol. 2024; 17(3).

PMID: 38886066 PMC: 7616527. DOI: 10.1101/cshperspect.a041520.


SimuCell3D: three-dimensional simulation of tissue mechanics with cell polarization.

Runser S, Vetter R, Iber D Nat Comput Sci. 2024; 4(4):299-309.

PMID: 38594592 PMC: 11052725. DOI: 10.1038/s43588-024-00620-9.


Semi-3D cultures using Laminin 221 as a coating material for human induced pluripotent stem cells.

Nakashima Y, Yoshida S, Tsukahara M Regen Biomater. 2022; 9:rbac060.

PMID: 36176714 PMC: 9514851. DOI: 10.1093/rb/rbac060.

References
1.
Kaurin D, Bal P, Arroyo M . Peeling dynamics of fluid membranes bridged by molecular bonds: moving or breaking. J R Soc Interface. 2022; 19(191):20220183. PMC: 9240675. DOI: 10.1098/rsif.2022.0183. View

2.
Fletcher A, Osterfield M, Baker R, Shvartsman S . Vertex models of epithelial morphogenesis. Biophys J. 2014; 106(11):2291-304. PMC: 4052277. DOI: 10.1016/j.bpj.2013.11.4498. View

3.
Cuvelier M, Vangheel J, Thiels W, Ramon H, Jelier R, Smeets B . Stability of asymmetric cell division: A deformable cell model of cytokinesis applied to C. elegans. Biophys J. 2023; 122(10):1858-1867. PMC: 10209142. DOI: 10.1016/j.bpj.2023.04.017. View

4.
Lober J, Ziebert F, Aranson I . Collisions of deformable cells lead to collective migration. Sci Rep. 2015; 5:9172. PMC: 4361886. DOI: 10.1038/srep09172. View

5.
Bi D, Yang X, Marchetti M, Manning M . Motility-driven glass and jamming transitions in biological tissues. Phys Rev X. 2017; 6(2). PMC: 5619672. DOI: 10.1103/PhysRevX.6.021011. View