Linear viscoelastic properties of the vertex model for epithelial tissues
Fig 7
Fitted values of spring-dashpot models for the system under bulk deformation as a function of the target cell-shape parameter, p0.
(a) Elastic constants as a function of the target cell-shape parameter, p0. In the solid phase (p0 < pc ≈ 3.722), the bulk storage modulus Esolid agrees with the analytical prediction Btheory in Eq (9) (dashed line). At the solid-fluid transition point (p0 = pc ≈ 3.722), it continuously changes to the high frequency limit of the bulk storage modulus, i.e., B′(ω0 → ∞) = E1 + E2, of the fluid phase. The low frequency limit of the bulk storage modulus is B′(ω0 → 0) = E2 in the fluid phase. (b) Dashpot viscosity constant as a function of the target cell-shape parameter, p0. (c) Characteristic timescales in the fluid phase obtained from the fitted values of the elastic constant and the dashpot viscosity. The normalization factor t* = γ/(KA0) sets the unit of time. For the fluid phase (p0 > pc ≈ 3.722), errorbars correspond to the standard deviation for simulations that were repeated for configurations that correspond to different local energy minima.