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Homeostatic controllers compensating for growth and perturbations
Fig 11
Performance of the motif 1 autocatalytic controller (Eqs 33–35).
Phase 1: constant volume V and constant k3. Initial concentrations and rate constant values (at the controller’s steady state): V0 = 25.0, 
, A0 = 2.0, E0 = 100.0, M0 = 1 × 106, k2 = 1.0, k3 = 2.0, 
, k4 = 20.0, k5 = 1 × 10−6, k6 = 10.0, 
. The controller keeps A at its set-point at 
. Phase 2: rate constants remain the same as in phase 1, but V increases linearly with 
. Phase 3: V continues to increase with the same rate and k3 increases with rate 
. The controller moves A towards 
in both phase 2 and phase 3, but breaks down when no additional E becomes available through M (indicated by the arrow in the right panel).
doi: https://doi.org/10.1371/journal.pone.0207831.g011