Fig. 2. Computational pipeline implemented using the Systems Design Space Toolbox to identify oscillatory phenotypes in high-dimensional parameter spaces, for any model, using targeted parameter sampling.

The procedure starts from a previously defined set of model equations in the format used by SciPy and the Systems Design Space Toolbox. All valid phenotypes with consistent boundary conditions in each model were identified. Each such valid phenotype was sampled log-uniformly 250 times. For each random sample, the parameter values were checked to lie within the parameter region defined by the phenotype and the steady-state was calculated. The potential for oscillation was identified by looking for the presence of two complex conjugate eigenvalues with non-negative real part. If this condition was met, the full model was analyzed for the presence of a limit cycle (see Methods section).