Figure 5

The system behaviour in the face of dynamic “leading” signals, \(S_l\) with spot pattern. A. The first and second rows represent the system state after the 50 and 100 divisions (of progenitor cells), respectively. The first and second columns represent two different formulations of death rate: \(\gamma _i = \frac{n_i}{n_i^*}*v_g\), and \(\gamma _i = \root 3 \of {\frac{n_i}{n_i^*}}*v_g\), where \(i \in {A, \; B}\). 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. The third row shows the abundance of four cell types through the simulation. B. The template and penalty filters of spot signal pattern. C. The scoring traces corresponding to the first and second columns in panel A. It indicates how the pattern in population in different states of the system through time is aligned with the desired initial signalling pattern.