Figure 10

The biophysical parameter space in the context of 2D cell-packing.(A) Biophysical parameter space for the hexagonal cell following p=k _p l and a=k _a l ², with k _p =6 and \(k_{a}=\frac {3\sqrt {3}}{2}\). (B) Biophysical parameter space for the hexagonal cell in terms of \(\overline {\Lambda }\) and \(\overline {\Gamma }\), adopting the notation of Farhadifar et al. [25]. Blue lines depict the analytically derived bifurcation lines, red and green circles are extracted through image analysis of Figure 1 in [25]. The green dots perfectly match the bifurcation line \(\overline {\Gamma }=-\frac {1}{4\sqrt {2}\sqrt [4]{3}}\overline {\Lambda }\); likewise the red dots perfectly match the bifurcation line \(\overline {\Gamma }=\frac {2-3\sqrt [6]{3}\left (\overline {\Lambda }\right)^{\frac {2}{3}}}{8\sqrt {3}}\). We predict one more bifurcation line, \(\overline {\Lambda }=0\), while in [25] region II and III are considered a single region, the so called “Hexagonal Network”.