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Detect additional symmetries that may impact identifiability

Identify any additional scaling or transformation symmetries present in the reparameterized ordinary differential equation family for eud-1, sult-1, and nhr-40 that impact structural identifiability and were not detected by STRIKE-GOLDD or the alternative structural identifiability algorithm.

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Background

The authors used multiple algorithms to analyze identifiability and remove a ubiquitous scaling symmetry, but note the possibility of other, more complex symmetries in the model family that remain undetected.

Such hidden symmetries can produce non-identifiability even after reparameterization, making their detection and removal essential for reliable parameter estimation and model comparison.

References

It is also important to note that the family of ODE models could contain a more complex scaling or transformation symmetry that is impacting structural identifiability that we failed to detect, even though we used multiple algorithms to assess structural identifiability.

— Practical indistinguishability in a gene regulatory network inference problem, a case study (2508.21006 - FitzGerald et al., 28 Aug 2025) in Methods, Structural identifiability testing