C++ implementation of a multiscale framework linking active gel descriptions of the actomyosin cortex to 3D vertex-like models of epithelial tissues with curved surfaces, as presented here. The tissue-scale mechanical response emerges directly from the collective behavior of each cellular surface, each described with an active gel model of the actomyosin cortex capturing its viscoelasticity, active contractility and turnover. Cell surfaces are triangulated resulting in a 3D vertex-like model with curved cellular surfaces of arbitrary resolution and the model is solved on each of these surfaces using a parallel finite element library.
https://github.com/aouzeri/multiscale-epithelial-mechanics-PRXLife
The present work is a finite elements project based on the active gel vertex model for simulating inflating and deflating epithelial domes using vertex-like modelling, as presented here. Dome volume is controlled and the mechanical behavior of the tissue directly emerges from each cellular surface described with an active gel model of the actomyosin cortex capturing its viscoelasticity, active contractility and turnover.
https://github.com/aouzeri/agvm_domes
This MATLAB script simulates a simple vertex model for describing the mechanics of epithelial tissues embedded in a viscous medium. The dynamics of each vertex is governed by the gradient of an energy function and nodal dissipation forces. The models allows for tissue fluidization, T1 topological transitions, cellular contraction, tissue stretching and self-propulsion of individual cells. Such script can serve as an entry point and a pedagogical tool to understand vertex modelling in the context of dynamic packing and rearrangement of planar epithelia.
https://github.com/aouzeri/2DVertexModel