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. 2023 Feb 1;120(6):e2214205120. doi: 10.1073/pnas.2214205120

Fig. 3.

Fig. 3.

A model based on an active tension mechanism explains the symmetric flow. (A) Schematic representation of our modeling framework, equation (1), in which the epithelium is considered as a viscous fluid (η, blue) with homogeneous friction (γ, pink) with the surroundings, along with domains of apical myosin (Ia, dark green) and basal myosin (Ib, light green) as contractile elements. The tissue is approximated by a 1D continuous membrane, positioned along the midline of the epithelium (red line). At any given position, s, the tangential component of the velocity (v) fulfills equation (1). (B and D) (Top): a representative time frame with a heatmap of vIa and Ib, (Bottom): the corresponding spatial profiles of Ia and Ib. (B) from the symmetric phase at Tasb = −4 min; (D) from the polarized phase at Tasb = 4 min. (C and E) Simultaneous fit (blue) of equation (1) to the experimentally measured v (black) for time points between Tasb = −5 min and Tasb = 8 min, with all parameters constant over time (SI Appendix). (C) Tasb = −4 min, (E) Tasb = 4 min. (F) Temporal profile of spatially averaged velocity (v¯) in experiment (black) and from our simultaneous fit (blue). The shaded regions associated with experimental data are the SD, computed over six embryos.