Fig. 3.

Cellular Potts model of cell–fiber interactions. (A) Two examples of cell morphologies obtained using a cellular Potts model and fiber networks with high ($c$ = 0.7, $\mathrm{\Delta }\varphi =15°$) and low ($c=0.1$, $\mathrm{\Delta }\varphi =75°$) coherence. (B) Computed cell aspect ratio and fiber network coherence using 10,000 simulated networks. Dashed line corresponds to the analytical formula derived in SI Appendix, section S2. See also SI Appendix, Fig. S4 for a probability heat map of the simulated data points. (C) Fraction of well-aligned cells, defined as $\delta \theta <\mathrm{20}°$, for varying coherence values $c$. Similar to Fig. 2C, the cells are divided into three subgroups based on their aspect ratios $a$: red, $a<$ 2; green, 2 $<a<$ 3; and blue, $a>$ 3. (D) Distribution of cell–fiber deviation angles for cells grouped using their aspect ratio. The main plot is the model result. Inset is experimental result. Red, cells with aspect ratio less than two; blue, cells with aspect ratio greater than three. **P < 0.01 with ANOVA test. (E) CDF of cell aspect ratio for two different values of $\gamma =J_{cf}/J_{cm}$. (F) Distribution of the deviation angles $\delta \theta$ for cells obtained in simulations with $\gamma <1.5$ and with $\gamma >2.5$ for networks with low (Left) and high (Right) coherence, and for cells with low ($a$ < 2; Upper) and high ($a$>2; Lower) values of the aspect ratio.