Analysis of unique structural identifiability via submodels
type: Item
instance of: scholarly article
title: Analysis of unique structural identifiability via submodels
zbMATH Open document ID: 0584.92001
DOI: 10.1016/0025-5564(84)90023-3
author: Sandor Vajda
published in: Mathematical Biosciences
publication date: 1984-01-01T00:00:00Z
review text: The paper presents a sufficient and necessary condition for unique structural identifiability of linear compartmental models. By virtue of this result unique identifiability can be tested via the analysis of some submodels of the original model. Thus, the identifiability problem is reduced step by step to simpler and, finally, to rather trivial problems. In addition to the knowledge of the symbolic expression of the transfer- function matrix, the proposed method of full-rank submodels requires only some numerical rank determinations, and hence allows for a quick and interactive test for unique structural identifiability. The procedure also gives a lower bound on the number of different solutions.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 3936979
zbMATH Keywords: sufficient and necessary condition for unique structural identifiability of linear compartmental models
zbMATH Keywords: full-rank submodels
Wikidata QID: Q58489370
MaRDI profile type: Publication
full work available at URL: 0025-5564(84)90023-3
OpenAlex ID: W2014882611
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description: scientific article; zbMATH DE number 3936979