Linear viscoelastic properties of the vertex model for epithelial tissues
Fig 3
(a-b) Fitted values of spring-dashpot models for hexagonal tilings under simple shear. (a) Elastic constants as a function of target cell-shape parameter, p0. In the solid phase (i.e., for p0 < pc ≈ 3.722), fitted values of the spring constants show excellent match with the analytical predictions obtained from Eqs (6) and (7) (dashed lines). Inset shows the spring constants near the critical point. (b) Dashpot viscosity constants as a function of the target cell-shape parameter, p0. (c-d) Characteristic timescales in (c) the solid and (d) fluid phase for hexagonal tilings 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 (i.e., for p0 > pc ≈ 3.722), errorbars correspond to the standard deviation for simulations that were repeated for configurations that correspond to different local energy minima.