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Linear viscoelastic properties of the vertex model for epithelial tissues

Fig 10

Tuning the solid to fluid transition by applying uniaxial pre-deformation.

(a) The solid-fluid transition boundary in the a − p₀ plane, where a measures the amount of uniaxial pre-deformation described by the deformation gradient . Blue line shows the analytical prediction from Eq (11), which matches the stability analysis with the Hessian matrix (red dots). (b,c) The fitted values of the (b) spring and (c) dashpot constants for the SLS model in the solid phase [see Eq (5)] and the Burgers model in the fluid phase [see Eq (8)] when the system is under uniaxial compression (a = 0.95), no pre-deformation (a = 1.00), and under uniaxial tension (a = 1.05).

doi: https://doi.org/10.1371/journal.pcbi.1010135.g010