Linear viscoelastic properties of the vertex model for epithelial tissues
Fig 4
Average storage and loss shear moduli in the solid and fluid phase for disordered tilings.
(a,c) Average storage (G′) and loss (G″) shear moduli as functions of the shearing frequency, ω0, for different values of the cell-shape parameter, p0, (a) deep in the solid phase and (c) deep in the fluid phase. The error bars represent the standard error of the mean. (b,d) The collapse of the moduli curves for different values of p0 for (b) the solid phase and (d) the fluid phase. The insets show the representation of (b) the Standard Linear Solid (SLS) model and (d) the Burgers model in terms of the springs and dashpots. (e,f) Average storage (G′) and loss (G″) shear moduli as functions of the shearing frequency, ω0, for intermediate values of the cell-shape parameter, p0, in (e) the solid phase and (f) the fluid phase. Dashed curves are the fits based on (a,e) the SLS model in the solid phase [see Eq (5)] and (c,f) the Burgers model in the fluid phase [see Eq (8)]. A representative example of random cell configurations used to produce these plots is shown in Fig 1b.