### 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 language | English (US) |
---|---|

Pages (from-to) | 129-149 |

Number of pages | 21 |

Journal | Mathematical Biosciences |

Volume | 66 |

Issue number | 1 |

DOIs | |

State | Published - 1983 |

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### 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.

Research output: Contribution to journal › Article

*Mathematical Biosciences*, vol. 66, no. 1, pp. 129-149. https://doi.org/10.1016/0025-5564(83)90082-2

}

TY - JOUR

T1 - Structural identification of large systems by reduction to subsystems

T2 - VLDL triglycerides

AU - Eisenfeld, J.

AU - Grundy, Scott M

PY - 1983

Y1 - 1983

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0020809379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020809379&partnerID=8YFLogxK

U2 - 10.1016/0025-5564(83)90082-2

DO - 10.1016/0025-5564(83)90082-2

M3 - Article

AN - SCOPUS:0020809379

VL - 66

SP - 129

EP - 149

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 1

ER -