“…vertex models have been utilized extensively to study epithelial mechanics in several developmental contexts, such as oriented cell divisions(Mao et al, 2011), density-independent phase transitions(Bi et al, 2015), epithelial topology(Aegerter-Wilmsen et al, 2010), cell flows during epithelial morphogenesis(Aigouy et al, 2010), cell size oscillations(Lin et al, 2017) or cell-cell adhesion mediated cell size dynamics(Kumar et al, 2020). In our vertex model, the mechanical response of the cells (LECs as well as HEs) is characterized by an energy function (Figure 5A) comprising of contributions from cell elasticity arising due to impermeability, or absence of leakiness of cell membrane, actomyosin-driven cell contractility and cadherin or integrin (at the interface of LEC layer and HE) mediated cell-cell adhesion(Farhadifar et al, 2007;Kumar et al, 2020). For overdamped cellular dynamics, the velocities of vertices are taken as proportional to the forces which are calculated from derivative of the energy functional relative to the vertex positions (Figure 5A, see Materials and methods).The numerical simulation of the vertex model of LEC and HE recapitulates the experimental observations, as shown (first panel in Video 7,Figure 5B).…”