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Geometric Frustration and Solid-Solid Transitions in Model 2D Tissue
We study the mechanical behavior of two-dimensional cellular tissues by formulating the continuum limit of discrete vertex models based on an energy that penalizes departures from a target area ${A}_{0}$ and a target perimeter ${P}_{0}$ for the component cells of the tissue. As the dimensionless target shape index ${s}_{0}=({P}_{0}/\sqrt{{A}_{0}})$ is …