Gross–Harrington–Meshkat–Shiu leak-removal conjecture for linear compartmental models

Let $\widetilde{\mathcal{M}}$ be a strongly connected linear compartmental model with at least one input and exactly one leak. A model is generically locally identifiable if its parameters are recoverable for generic parameter values up to finitely many possibilities. Gross–Harrington–Meshkat–Shiu's leak-removal conjecture. If $\widetilde{\mathcal{M}}$ is generically locally identifiable, then so is the model $\mathcal{M}$ obtained by removing the leak. This conjecture is known in several special cases, including models with input, output, and leak in one compartment and models obtained from identifiable cycle models by retaining one leak; it remains open in general.