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

J. Eisenfeld, Scott M Grundy

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 - 1983

Fingerprint

Structural Identification
Lipoproteins
lipoproteins
Subsystem
triacylglycerols
Decomposition
kinetics
Kinetics
degradation
Digraph
Unknown Parameters
decomposition
Entire
Verify
If and only if
Decompose
Triglycerides
very low density lipoprotein triglyceride
parameter
Sufficient Conditions

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Structural identification of large systems by reduction to subsystems : VLDL triglycerides. / Eisenfeld, J.; Grundy, Scott M.

In: Mathematical Biosciences, Vol. 66, No. 1, 1983, p. 129-149.

Research output: Contribution to journalArticle

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