Three Layer Circuit
Two distinct cell types: a sender cell A and a receiver cell B.
The B-type cells are induced by A to express cadherin, which leads to
cell sorting. Additionally, the A-type cells can be induced to express a lower strenght cadherin.
For certain parameter values, a three-layer structure emerges. Blue colour indicates the undifferentiated A-type cells, pink colour indicates the differentiated A-type cells, and green colour indicates differentiated B-type cells.
Reference:
The model is decribed in "Self-organized multicellular structures from simple cell signaling: a computational model",
N.Mulberry and L.Edelstein-Keshet, Physical Biology 2020, https://doi.org/10.1088/1478-3975/abb2dc
1N0*(1+I^p/(I0^p+I^p)) - Kt*R*Gn - gamma*RKt*R*Gn - gammaI*I (I^p/(I0^p+I^p) - gamma*E1) D0 - Kt*D*Nn - gamma*D E1/3 -1 - 3*E/10N0*(1+I^p/(I0^p+I^p)) - Kt*N*Dn - gamma*NKt*N*Dn - gammaI*I I^p/(I0^p+I^p) - gamma*E G0*I^p/(I0^p+I^p) - Kt*G*Rn - gamma*G E/1026