6 problems
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Maximal-minor dividing-edge conjecture for nonsquare Jacobians
Let be an identifiable linear compartmental model whose Jacobian matrix is not square, so its singular locus is defined by the maximal minors of the Jacobian. An edge…
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Gross–Harrington–Meshkat–Shiu leak-removal conjecture for linear compartmental models
Let be a strongly connected linear compartmental model with at least one input and exactly one leak. A model is generically locally identifiable if its pa…
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Nondivisibility of leak terms in singular-locus equations
Let be a strongly connected linear compartmental model with at least one input and at least one leak. A singular-locus equation is the…
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Leak-addition conjecture for unidentifiable linear compartmental models
Let be an unidentifiable linear compartmental model. Leak-addition conjecture. If one leak is added, the resulting model is also unidentifia…
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Dividing-edge conjecture for linear compartmental models
Let be a strongly connected linear compartmental model that is generically locally identifiable, with singular-locus equation . An edge is dividing if its…
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Conjecture that extended identifiability is not genuinely broader for monomolecular networks
For a monomolecular network, let identifiability be defined using coefficient maps arising from input-output equations for output-reachable subgraphs, rather than only by the previ…