Fig. 12. Polarised cell state analysis.

Schematic of the simplified deterministic wave-shaped state, consisting of a high plateau a_L of length L₀ on the left, and a low plateau a_R of length L − L₀ on the right. (Right) Bifurcation plot of steady-state concentrations of a_L as a function of L₀, with parameters as in Fig. 6 and with total amount T = 22.68. Two saddle-node bifurcations occur at critical values $L_0^{(1)}=3.25\mu \text{m}$ and $L_0^{(2)}=6.75\mu \text{m}$. The corresponding bifurcation plot of a_R is symmetric to this one of a_L. In our stochastic simulations, for equivalent parameter values and number of molecules = 6,820, we did not observe pinning positions greater than 6 μm (top inset, Fig. 6), as is predicted by this analysis