An algorithm for identifiable parameters and parameter bounds for a class of cascaded mammillary models

A complex structural identifiability problem for a class of unidirectionally interconnected n-compartment linear mammillary models with multiple inputs is discussed. This class is particularly useful in the study of drug/metabolite kinetics and other interconversion kinetic processes. An explicit al...

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Bibliographic Details
Published in:Mathematical biosciences 1995-09, Vol.129 (1), p.67-93
Main Authors: Feng, Dagan, Distefano, Joseph J
Format: Article
Language:English
Subjects:
Algorithms
Animals
Biological and medical sciences
Computerized, statistical medical data processing and models in biomedicine
Humans
Kinetics
Medical sciences
Models and simulation
Models, Biological
Thyroxine - blood
Thyroxine - metabolism
Triiodothyronine - blood
Triiodothyronine - metabolism
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Summary:A complex structural identifiability problem for a class of unidirectionally interconnected n-compartment linear mammillary models with multiple inputs is discussed. This class is particularly useful in the study of drug/metabolite kinetics and other interconversion kinetic processes. An explicit algorithm is developed for this model class that provides identifiable parameter combinations, parameter bounds, steady-state pool sizes, and production rates, with input forcing and output measurements in central compartments. A six-compartment model of the combined dynamics of the prohormone thyroxine (T 4) and hormone triiodothyronine (T 3) illustrates how physiological parameter values or their smallest ranges, such as tissue T 4 to T 3 conversion rates and separate T 4 and T 3 production rates, can be determined from stimulus-response measurements in plasma alone.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(94)00054-4