Global identifiability of linear compartmental models -: A computer algebra algorithm

被引：89

作者：

Audoly, S

D'Angiò, L

Saccomani, MP

Cobelli, C ^{[1
]}

机构：

[1] Univ Padua, Dept Elect & Informat, I-35100 Padua, Italy

[2] Univ Cagliari, Dept Struct Engn, I-09100 Cagliari, Italy

[3] Univ Cagliari, Dept Math, I-09100 Cagliari, Italy

来源：

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING | 1998年 / 45卷 / 01期

关键词：

A priori identifiability; experiment design; Grobner basis; model identification; parameter estimation;

D O I：

10.1109/10.650350

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

A priori global identifiability deals with the uniqueness of the solution for the unknown parameters of a model and is, thus, a prerequisite for parameter estimation of biological dynamic models. Global identifiability is however difficult to test, since it requires sol ting a system of algebraic nonlinear equations which increases both in nonlinearity degree and number of terms and unknowns with increasing model order, In this paper, a computer algebra tool, GLOBI (GLOBal Identifiability) is presented, which combines the topological transfer function method with the Buchberger algorithm, to test global identifiability of linear compartmental models. GLOBI allows for the automatic testing of a priori global identifiability of general structure compartmental models from general multi input-multi output experiments. Examples of usage of GLOBI to analyze a priori global identifiability of some complex biological compartmental models are provided.

引用

页码：36 / 47

页数：12

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