Figure 7. Dynamics of emergent circuits.

• A–D
  For $A{I}_1$ circuit with parameters (w _A = −0.05, w _B = −7.98, w _C = 6.47, w _D = 9.61, α _A = 6.40, α _D = 6.81), we follow how concentrations of the four species (D _c1, A _c1, D _c2, A _c2) evolve in time as emergent circuit Activation‐Inhibition AI ₁ achieves (A, B) inhibition or (C, D) induction. In (B), we see how the phase portrait of AI ₁ (gray box) is equivalent to that of the mono‐functional inhibition circuits (orange box). (D) The lateral induction pattern results from a pursuit behavior (Verd et al, 2014, 2017) where the horizontal then vertical movement of the attractor θ ₅ deviates the trajectory which exhibits a sudden change in direction. This dynamic (gray boxes) is not equivalent to the dynamics seen in the minimal lateral induction circuits (orange boxes).
• E
  Structural view: The lateral inhibition function can be reduced to a sub‐circuit which is indeed the minimal circuit H1, but the lateral induction function cannot—it requires the full circuit.