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Active Vertex Model for cell-resolution description of epithelial tissue mechanics
Fig 7
Phase diagrams of the AVM.
Panels (a), (b) and (c): α−relaxation time τα determined from the self-intermediate scattering function, Eq (21). These plots indicate that it is possible to initiate cell intercalation events by changing values of p0 or active driving. High values of τα (dark regions) correspond to the solid-like (glassy) phase where T1 events are suppressed. (a) Fixed system with Γ = 1 and 
. (b) Open system with Γ = 1, 
and boundary line tension λ = 0. (c) Open system with Γ = 0.1, 
and boundary line tension λ = 0.1. All systems are solid-like at low p0 and low driving fa. The critical p0 = 3.81 is the same in (a), (b) and (c), but the open system becomes liquid-like at much lower values of active driving. Lowering Γ also lowers this transition point. The dashed white line represents a rough boundary between solid-like and fluid-like behaviour. (d) Characteristic time scale τinst needed to reach the boundary instability, determined from reaching a threshold boundary length (see text), for the same parameters as (c). Sufficiently high driving always leads to an unstable system.
doi: https://doi.org/10.1371/journal.pcbi.1005569.g007