Global identifiability of linear compartmental models-a computer algebra algorithm
| Autor: | S. Audoly, Maria Pia Saccomani, C. Cobelli, L. D'Angio |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Lipoproteins
Biomedical Engineering Models Biological Transfer function User-Computer Interface Software Design Humans Computer Simulation Pharmacokinetics Uniqueness Mathematical Computing Apolipoproteins B Mathematics Estimation theory Linear model Bilirubin Body Fluid Compartments Symbolic computation Zinc Nonlinear system Nonlinear Dynamics Linear Models A priori and a posteriori Identifiability Algorithm Algorithms |
| Zdroj: | IEEE Transactions on Biomedical Engineering. 45:36-47 |
| ISSN: | 0018-9294 |
| DOI: | 10.1109/10.650350 |
| Popis: | 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 solving a system of algebraic nonlinear equations which increases both in nonlinearity degree and number of terms and unknowns with increasing model carrier. 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 far 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. |
| Databáze: | OpenAIRE |
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