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posted on 2024-01-05, 18:44 authored by Elizabeth Lawson-Keister, Tao Zhang, Fatemeh Nazari, François Fagotto, M. Lisa Manning

(A) Schematic of perturbations to the x–component of the initial position xi of a single vertex relative to a putative four-fold coordinated vertex on the boundary. The green line represents a perfect four-fold vertex where xi is zero, the blue represents a coordinate that has a positive xi towards the interface and the red represents a vertex that is further from the interface xi negative. (B) Analytic restoring force (Eq 7) due to the interfacial tension alone due to the perturbations of vertices on the interface. The solid lines represent intial perturbations of the moving cell’s vertex a distance xi = {−10−4, 0, 10−5, 10−4, 10−3} colored {red, green, dark blue, blue, cyan} respectively with yi = 1. The dashed blue line represents a perturbation parallel to the interface such that {xi, yi} = {10−4, 1.1}. (C-E) Schematic diagrams of how the larger-scale cellular structure changes when a nearly four-fold coordinated vertex is perturbed as shown in (A).

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