Pool size and mass flux bounds and quasiidentifiability relations for catenary models (Q1102219)

Closed-form algorithms were recently reported by the authors [ibid. 76, 59-68 (1985; Zbl 0574.93017) and ibid. 72, 199-212 (1984; Zbl 0557.92004)] for computing the identifiable parameter combinations (structural invariants) and parameter bounds for all of the rate constants \(k_{ij}\), of unidentifiable catenary compartmental models with input and output in pool 1 only. These results are extended here, providing bounds for unidentifiable (interval identifiable) steady state residence times, pool sizes, and mass fluxes, as well as some relationships for assessing quasiidentifiability for this class of catenary models.