An automatized topological method to test a priori global identifiability of a class of compartmental models

Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS

Volumn 6, Issue , 1992, Pages 2282-2283

  Saccomani, M P ^a   Sattier, R ^a   D'Angio L ^b   Audoly, S ^b   Cobelli, C ^a  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

TOPOLOGY;

COMPARTMENTAL MODEL; IDENTIFIABILITY; STRUCTURAL CONSTRAINTS; TOPOLOGICAL METHODS;

BIOLOGICAL SYSTEMS;

EID: 33749767050     PISSN: 1557170X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IEMBS.1992.5761463     Document Type: Conference Paper

References (7)

1. E.R. Carson, C. Cobelli and L. Finkelstein, "The Mathematical Modeling of Metabolic and Endocrine Systems", New York: Wiley, 1983.
2. J.A. Jacquez, "Compartmental Analysis in Biology and Medicine", 2nd. edn., Ann Arbor Michigan: University of Michigan Press, 1985.
3. K.R. Godfrey and J.J. DiStefano III, "Identifiability of parametric models" in Identifiability of Parametric Models, Ed. E. Walter, Oxford: Pergamon Press, pp. 1-20, 1985.
4. C. Cobelli and J.J. Distefano III,"Parameter and structural identifiability concepts and ambiguities: acritical review and analysis", Am.J. Physioi., vol. 239, pp. R7-R24, 1980.
5. S. Audoly, and L. D' Angio', "On the identifiability of linear compartmental systems: a revisited transfer function approach based on topological properties", Math. Biosci., vol. 66, pp. 201-228, 1983.
6. J.A. Jacquez, and T. Perry, "Parameter estimation: Local identifiability of parameters", Am. J. Physiol., vol. 258, pp. E727-E736, 1990.
7. C. Cobelli, M.P. Saccomani, P. Tessari, G. Biolo, L. Luzi, and D.E. Matthews,"Compartmental model of leucine kinetics in humans", Am. J. Physiol., vol. 261, pp. E539-E550, 1991.