Figure 6

The system behaviour in the face of dynamic “leading” signals, \(S_l\) with Gaussian, reversed-spot and stripe patterns. The first and second rows represent the template matrices and the system state after 100 divisions (of progenitor cells), respectively. As it is shown in the colorbar, each pixel can indicate one individual cell, S in cyan, P in green, A in yellow, and B in red, an empty position (EP) in blue, or an out-of-dish space (OD) in gray. Here, \(\gamma _i = \root 3 \of {\frac{n_i}{n_i^*}}*v_g\), where \(i \in {A, \; B}\). The third row shows the abundance of four cell types through the simulation. The fourth row demonstrates the scoring traces to evaluate the pattern maintenance in the population. It indicates how the pattern in population in different states of the system through time is aligned with the desired initial signalling pattern.