Vertex models capturing subcellular scales in epithelial tissues
Fig 4
Dynamical phase diagrams describing a solid to fluid transition in various extended vertex models.
(A) Average vertex coordination number (from to
) against target cell shape p0 in a model with active T1 transitions [120]; (B) alignment of cell shape against average measured cell shape
in an anisotropic tension model [10]; (C) Gaussian curvature against target cell shape in a vertex model restricted to a sphere (positive curvature) or hyperbolic disk (negative curvature) [121,122]; (D) alignment rate of cell polarity against traction forces in a traction force model on a spherical surface [118]. Asterisks indicate the critical target cell shape
or average measured cell shape
) in the reference model [29,39].