Linear viscoelastic properties of the vertex model for epithelial tissues
Fig 6
Loss and storage bulk moduli in the solid (top row) and fluid phase (bottom row) for hexagonal tilings.
(a-b) An overlay of the representative reference (grey) and biaxially deformed (yellow) configurations in (a) the solid and (b) the fluid phase. The magnitude of the bulk deformation is highly exaggerated for demonstration purposes. (c-d) Representative storage (B′) and loss (B″) bulk moduli as functions of the deformation frequency, ω0, for different values of the cell-shape parameter, p0. For the solid phase in (c), the loss bulk modulus B″ ≡ 0. For the fluid phase in (d), dashed curves are the fits based on the Standard Linear Solid (SLS) model [see Eq (5)]. (e-f) The collapse of the moduli curves for different values of p0 for (e) the solid phase and (f) the fluid phase. The insets show the representation of (e) the spring model and (f) the SLS model in terms of the springs and dashpots. In panel (e), Btheory corresponds to the analytical prediction in Eq (9) for the storage bulk modulus in the solid phase.