Pool size and mass flux bounds and quasiidentifiability relations for catenary models
type: Item
instance of: scholarly article
title: Pool size and mass flux bounds and quasiidentifiability relations for catenary models
zbMATH Open document ID: 0643.92002
DOI: 10.1016/0025-5564(88)90045-4
author: Joseph J. III DiStefano
author: Elliot M. Landaw
author: B. C. Chen
published in: Mathematical Biosciences
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92-08
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 4049443
zbMATH Keywords: unidentifiable catenary compartmental models
zbMATH Keywords: bounds
zbMATH Keywords: steady state residence times
zbMATH Keywords: pool sizes
zbMATH Keywords: mass fluxes
zbMATH Keywords: quasiidentifiability
MaRDI profile type: Publication
full work available at URL: 0025-5564(88)90045-4
OpenAlex ID: W2050122106
cites work: Complete parameter bounds and quasiidentifiability conditions for a class of unidentifiable linear systems
cites work: An algorithm for the identifiable parameter combinations of the general mammillary compartmental model
cites work: Algorithms for the identifiable parameter combinations and parameter bounds of unidentifiable catenary compartmental models
cites work: Analysis of unique structural identifiability via submodels
cites work: Hidden pools, hidden modes, and visible repeated eigenvalues in compartmental models
cites work: Stochastic parameters in compartmental systems
description: scientific article; zbMATH DE number 4049443