70 citations · 114 across the 11 of their papers we have counts for
3 papers · 1 filter
Finite Elasticity of the Vertex Model and its Role in Rigidity of Curved Cellular Tissues
Arthur Hernandez, Michael F. Staddon, Michael Moshe +1
Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is know…
The role of non-affine deformations in the elastic behavior of the cellular vertex model
Michael F. Staddon, Arthur Hernandez, Mark J. Bowick +2
The vertex model of epithelia describes the apical surface of a tissue as a tiling of polygonal cells, with a mechanical energy governed by deviations in cell shape from preferred,…
Anomalous elasticity of cellular tissue vertex model
Arthur Hernandez, Michael F. Staddon, Mark J. Bowick +2
Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation b…