Data-driven model discovery and model selection for noisy biological systems
Fig 5
Evaluation of base SINDy fits and data generation for the repressilator model.
A. The repressilator models describes a coupled negative feedback loop between three interacting proteins. B. Example simulation of the repressilator model without noise. The concentrations of each of the three proteins oscillate and the system eventually reaches a stable limit cycle. C. Evaluation of base SINDy to infer repressilator models from noise-free data on t = [ 0, 10 ] . Inferred equations (left) and simulation of the inferred model on t = [ 0, 30 ] (right). Underlined terms are incorrect in comparison to the true repressilator model (Eqs 6). D–E. To evaluate model discovery methods, additive or multiplicative noise is added to the underlying deterministic dynamics at different noise levels. The mean trajectories of 200 samples for each noise model are shown; ribbons represent ± 3 s.d.