Vertex models: from cell mechanics to tissue morphogenesis

By Silvanus Alt, P. Ganguly, G. Salbreux. Philosophical Transactions of the Royal Society B: Biological Sciences, 2017

408 citations recorded by the source corpus.

Tissue morphogenesis requires the collective, coordinated motion and deformation of a large number of cells. Vertex model simulations for tissue mechanics have been developed to bridge the scales between force generation at the cellular level and tissue deformation and flows. We review here various formulations of vertex models that have been proposed for describing tissues in two and three dimensions. We discuss a generic formulation using a virtual work differential, and we review applications of vertex models to biological morphogenetic processes. We also highlight recent efforts to obtain continuum theories of tissue mechanics, which are effective, coarse-grained descriptions of vertex models. This article is part of the themed issue ‘Systems morphodynamics: understanding the development of tissue hardware’.

Subfields: Biomedical Engineering, Cell Biology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/6b952355f5329ad1aa11a9298c96316a62f45368

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In Biomedical Engineering

1. Le Yan
2. Dapeng Bi

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2. Dapeng Bi

Citations in the corpus

• A Review of Cell-Based Computational Modeling in Cancer Biology (2019, methodology): “29 For greater spatial resolution, front-tracking methods, such as the immersed boundary method (IBM), solve PDEs for fl uid fl ow inside and between cells and then advect boundary points along the cells ’ membranes in this fl ow.”
• Multicellular Rosettes Drive Fluid-solid Transition in Epithelial Tissues (2018, background): “[20] Silvanus Alt, Poulami Ganguly, and Guillaume Salbreux, “Vertex models: from cell mechanics to tissue morphogenesis,” Philosophical Transactions of the Royal Society of London B: Biological Sciences 372 (2017), 10.”