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. 2016 Oct 14;7:13120. doi: 10.1038/ncomms13120

Figure 3. Dynamics of contraction is set by shortest axis.

Figure 3

(a) Experimentally measured long axis X(t) and short axis Y(t) for filled rectangles with different initial axis ratio αinit, with constant areas XinitYinit=10,000 μm2, together with Supplementary Equation 3 (solid lines), where K=Xfin/Xinit=Yfin/Yinit and τX and τY had been determined from the fits. While K is quasi-constant due to identical stimulation density, the τ's depend on axis ratio (Supplementary Fig. 3). For each dimension L, the maximum velocity Inline graphic occurs at the compression time τL that simultaneously determines the long-time relaxation behaviour (Supplementary Equation 15). The contraction along the long axis X(t) exhibits a strong delay compared with the contraction of the short axis Y(t). The maximal contraction speed occurs much earlier in Y(t) as shown in Supplementary Fig. 3. (b) Characteristics of asymmetric contraction of initially asymmetric geometries: αfin=Xfin/Yfin (red squares) and αmax (blue circles) both as a function of αinit=Xinit/Yinit, shown together with results of our minimal dynamic model (Supplementary Notes 3). Inset: The ratio of velocities immediately after stimulation of the perpendicular interfaces is independent of the geometry. Because the velocities vanish at equilibrium, a limiting ratio of unity signals that there is a unique acceleration and unique force strength normal to initially flat interfaces, as explained in Supplementary Notes 3. (c) Ratio of the maximal velocities obeys the relation Inline graphic with γ=0.4. (d) For rectangles of constant half-length Xinit=400 μm and variable width, Inline graphic(diamonds) depends basically linearly on Yinit as expected for the undisturbed contraction, whereas Inline graphic (squares) gets increased nonlinearly with Yinit, indicating a hampered contraction along the long side. Using the Inline graphic μm min−1 value we read off for the square case. Supplementary Equation 20 of our minimal dynamic model predicts Inline graphic (red line) and Inline graphic (blue line) with γ=0.4, in agreement with these data. All network results shown here are identically stimulated with n=20 cycles.