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Differences in boundary behavior in the 3D vertex and Voronoi models. | LitMetric

AI Article Synopsis

  • Identifying the correct scale for modeling biological tissues is crucial, especially regarding how degrees of freedom impact predictions of tissue behavior, like fluid-solid transitions and compartmentalization.
  • Recent findings suggest that there are notable differences between vertex and Voronoi models when studying heterotypic interfaces in 3D tissue mixtures.
  • The study reveals that while cell shape trends are similar, the alignment of cell centers and orientations at boundaries differs significantly, suggesting vertex models may be better suited for complex tissue simulations.

Article Abstract

An important open question in the modeling of biological tissues is how to identify the right scale for coarse-graining, or equivalently, the right number of degrees of freedom. For confluent biological tissues, both vertex and Voronoi models, which differ only in their representation of the degrees of freedom, have effectively been used to predict behavior, including fluid-solid transitions and cell tissue compartmentalization, which are important for biological function. However, recent work in 2D has hinted that there may be differences between the two models in systems with heterotypic interfaces between two tissue types, and there is a burgeoning interest in 3D tissue models. Therefore, we compare the geometric structure and dynamic sorting behavior in mixtures of two cell types in both 3D vertex and Voronoi models. We find that while the cell shape indices exhibit similar trends in both models, the registration between cell centers and cell orientation at the boundary are significantly different between the two models. We demonstrate that these macroscopic differences are caused by changes to the cusp-like restoring forces introduced by the different representations of the degrees of freedom at the boundary, and that the Voronoi model is more strongly constrained by forces that are an artifact of the way the degrees of freedom are represented. This suggests that vertex models may be more appropriate for 3D simulations of tissues with heterotypic contacts.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10274928PMC

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