Extended Data Fig. 4: A model for tissue mechanics and nematodynamics recapitulates the response of endothelial tubes. | Nature Physics

Extended Data Fig. 4: A model for tissue mechanics and nematodynamics recapitulates the response of endothelial tubes.

From: Interplay of actin nematodynamics and anisotropic tension controls endothelial mechanics

Extended Data Fig. 4

A,B Value of normalized off-diagonal component qzθ/R of actin orientation tensor (Ai,Bi) and Qzθ/R of cell elongation tensor (Aii,Bii) at different time after pressure increase from 150 Pa (yellow) to 650 Pa (red) (A) and 7 hours after different pressure increases (B). Ai n=8 (0 h), n=9 (7 h), n=5 (24 h), n=2 (56 h). Aii n=8 (0 h), n=7 (7 h), n=5 (24 h), n=2 (56 h). Bi) n=8 (150 Pa), n=4 (450 Pa), n=9 (650 Pa), n=7 (850 Pa). Bii n=8 (150 Pa), n=4 (450 Pa), n=7 (650 Pa), n=7 (850 Pa). C Time evolution of normalized radius R/R0 (i) and actin order parameter q (ii) for γ = 10.8 h−1 and β = 8 N−1.m.h−1, other parameters being the same as in optimal fit (dotted line) and for best fit with γ = 0 h−1 (small dotted line) compared to the optimal fit (solid line). The experimental data are the same as in Fig. 2a,civ. D Time evolution of cell elongation Q for λ = 0 (small dotted line) and λ = 30.2 h−1 (dotted line) with all other parameters being the same as in optimal fit, compared to the optimal fit result (solid line). The experimental data are the same as in Fig. 2div. E Absolute relative radius change when increasing pressure from 150 Pa to 650 Pa (yellow) and when decreasing pressure back to 150 Pa 7 hours later (orange), comparing the experimental data (dots, same data as in Fig. 2bi) to the theoretical prediction (squares, Supplementary Section 2.5). F Tissue strain \(\ln (R/{R}_{0})\) (red) and actin strain s (green) as a function of time, in the model. Gi Mean nucleus area as a function of time (experimental data). Gii Nucleus area as a function of cell area after 0 (yellow), 7 (orange), 24 (red) and 56 (purple) hours, showing a linear correlation. Data are the same as in Fig. 5aii, Extended Data Fig. 4Gi. H Time evolution of normalized radius R/R0 (i), actin order parameter q (ii), mean cell area (iii) and cell elongation (iv) for ΔP≈150Pa (yellow, n=8), 450Pa (orange, n=7), 650Pa (red, n=3) and 850Pa (purple, n=2) (lines: model, same curve as in Figs. 4di-ii, 5aii,5bii for ΔP≈150 and 650Pa, dots: experiment, same as in Fig. 5c).

Source data

Back to article page