Structural identification of large systems by reduction to subsystems: VLDL triglycerides

J. Eisenfeld, Scott M Grundy

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

The problem of determining whether or not a particular parameter, or the entire compartmental system, is structural identifiable can be extremely difficult if the number of unknown parameters and the number of compartments is large. However, the problem can be considerably simplified if the system can be decomposed into smaller subsystems in such a way that a parameter is structural identifiable with respect to the large system if and only if it is structural identifiable with respect to the subsystem in which it is contained. The paper offers sufficient conditions under which the desired decomposition can be achieved. The conditions are expressed in terms of the digraph of the system so that they are not difficult to verify. Illustrative examples are provided in terms of application to lipoprotein kinetics.

Original languageEnglish (US)
Pages (from-to)129-149
Number of pages21
JournalMathematical Biosciences
Volume66
Issue number1
DOIs
StatePublished - Sep 1983

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Structural identification of large systems by reduction to subsystems: VLDL triglycerides'. Together they form a unique fingerprint.

  • Cite this