A dual-feedback loop model of the mammalian circadian clock for multi-input control of circadian phase
Fig 6
Use of phase only linear approximation to predict phase changes.
The phase changes that were observed in the full model compared to the estimated phase changes using the linear approximation from the ipPRC (Eq 20) for a single input (left) or pairs of parameters (right) corresponding to known inputs were strongly correlated, validating the use of this approximation in the MPC algorithm and suggesting that nonlinear interaction terms are not significant for these pairs of inputs.