DAISY: An efficient tool to test global identifiability. Some case studies

2008 Mediterranean Conference on Control and Automation - Conference Proceedings, MED'08

Volumn , Issue , 2008, Pages 1723-1728

  Saccomani, M P ^a   Bellu, G ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTER SOFTWARE; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FUNCTION EVALUATION; GLUCOSE; IDENTIFICATION (CONTROL SYSTEMS); INDUSTRIAL ENGINEERING; LINEAR ALGEBRA; LINEAR EQUATIONS; MODEL CHECKING; NONLINEAR EQUATIONS; SENSITIVITY ANALYSIS; TESTING;

A-PRIORI; CASE STUDIES; CLINICAL STUDIES; CONTROL AND AUTOMATION; DIFFERENTIAL ALGEBRA; HIV/AIDS; IDENTIFIABILITY; INITIAL CONDITIONS; INPUT-OUTPUT; INPUT-OUTPUT DATA; INSULIN SENSITIVITY; MATHEMATICAL MODELLING; MINIMAL MODELING; MODEL IDENTIFICATION; MODEL PARAMETERS; NONLINEAR DYNAMIC MODELING; ORAL GLUCOSE TOLERANCE TEST; PARAMETER IDENTIFICATIONS; PARTICULAR FEATURES; RATIONAL FUNCTIONS; SOFTWARE TOOLS; SPECIFIC PROBLEMS; WEB SITE;

PHYSIOLOGICAL MODELS;

EID: 52949139425     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MED.2008.4602152     Document Type: Conference Paper

References (16)

1. S. Audoly, G. Bellu, L. D'Angiò, M.P. Saccomani and C. Cobelli, Global identifiability of nonlinear models of biological systems, IEEE Trans. Biomed. Eng., vol. 48, n. 1, 2001, pp.55-65.
2. R. Bellman and K.J. Åström, On structural identifiability, Math. Biosci., vol. 7, pp. 329-339, 1970.
3. M.J. Chapman, K.R. Godfrey, M.J. Chappel and N.D. Evans, Structural identifiability of non-linear systems using linear/non-linear splitting, Int. J. Control, vol. 76, no. 3, pp. 209-216, 2003.
4. M.J. Chappell and K.R. Godfrey, Structural identifiability of the parameters of a nonlinear batch reactor model, Math. Biosci., vol. 108, pp. 245-251, 1992.
5. L. Ljung and S.T. Glad, On global identifiability for arbitrary model parameterizations, Automatica, vol. 30, no. 2, 1994, pp. 265-276.
6. F. Ollivier, Le problème de l'ldentifiablllté structurelle globale: étude théorique, méthodes effectives et bornes de complexité, Thèse de Doctorat en Science, École Polytéchnique, Paris, France, 1990.
7. M.P. Saccomani, S. Audoly and L. D'Angiò, Parameter identifiability of nonlinear systems: the role of initial conditions, Automática, vol. 39, 2003, pp. 619-632.
8. G. Bellu, M.P. Saccomani, S. Audoly and L. D'Angio, DAISY: A new software tool to test global identifiability of biological and physiological systems, Comp Meth Prog Biom, vol. 88, 2007, pp. 52-61.
9. H. Pohjanpalo, System identifiability based on the power series expansion of the solution, Math. Biosci., vol. 41, pp. 21-33, 1978.
10. M. P. Saccomani and C. Cobelli, A minimal input-output configuration for a priori identifiability of a compartmental model of leucine metabolism, IEEE Trans Biomed Eng, vol. 40, 1993, pp. 797-803.
11. E. Walter, Identifiability of State Space Models, Springer-Verlag, Berlin, 1982.
12. E. Walter and Y. Lecourtier, Global approaches to identifiability testing for linear and nonlinear state space models, Math, and Comput. in Simul, vol. 24, 1982, pp. 472-482.
13. C. Dalla Man, A. Caumo and C. Cobelli, The oral glucose minimal model: estimation of insulin sensitivity from a meal test, IEEE Trans Biomed Eng, vol. 49, n. 5, 2002, pp. 419-429.
14. C Dalla Man, M. Campioni, K.S. Polonsky, R. Basu, R.A. Rizza, G. Toffolo, C. Cobelli, Two-hour seven-sample oral glucose tolerance test and meal protocol: minimal model assessment of beta-cell responsivity and insulin sensitivity in nondiabetic individuals, Diabetes, vol. 54, 2005, pp. 3265-3273.
15. X. Xia and C.H. Moog, Identifiability of nonlinear systems with application to HIV/AIDS models, IEEE Trans Autom Contr, vol. 48, n. 2, 2003, pp. 330-336.
16. A.S. Perelson and P.W. Nelson, Mathematical analysis of HIV/I dynamics in vivo, SIAM Review, vol. 41, n. 1, 1999, pp. 3-44.