An efficient method for structural identifiability analysis of large dynamic systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue PART 1, 2012, Pages 941-946

  Karlsson, Johan ^a   Anguelova, Milena ^b   Jirstrand, Mats ^a  

^a FRAUNHOFER CHALMERS CENTRE   (Sweden)

^b Imego AB The Institute of Micro and Nanotechnology   (Sweden)

Author keywords

Dynamic systems; Identifiability; Parameter estimation; Systems identification

Indexed keywords

DYNAMICAL SYSTEMS; JACOBIAN MATRICES; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS;

IDENTIFIABILITY; INITIAL CONDITIONS; INTEGER COEFFICIENT; MEMORY REQUIREMENTS; ORDINARY DIFFERENTIAL EQUATION MODELS; STATE SPACE SYSTEMS; STRUCTURAL IDENTIFIABILITY; SYSTEMS IDENTIFICATION;

PARAMETER ESTIMATION;

EID: 84867069478     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20120711-3-BE-2027.00381     Document Type: Conference Paper

References (23)

1. M Anguelova. Observability and identifiability of nonlinear systems with applications in biology. PhD thesis, Chalmers University of Technology and Gothenburg University, Sweden, 2007.
2. M Anguelova, J Karlsson, and M Jirstrand. Minimal output sets for identifability. Manuscript in preparation, 2012.
3. S Audoly, G Bellu, L D'Angio, M P Saccomani, and C Cobelli. Global identifiability of nonlinear models of biological systems. IEEE Trans Biomed Eng, 48(1):55-65, 2001.
4. S Diop and M Fliess. On nonlinear observability. In Proc First Europ Control Conf, pages 152-157, 1991.
5. N.D. Evans and M.J. Chappell. Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems. Mathematical Biosciences, 168 (2):137-159, 2000.
6. R Hermann and A J Krener. Nonlinear controllability and observability. IEEE Trans on Aut. Control, 22(5):728-740, 1977.
7. A Jansson and M Jirstrand. Biochemical modeling with Systems Biology Graphical Notation. Drug Discovery Today, 15(9-10):365-370, 2010.
8. R E Kalman. On the general theory of control systems. In Proc ICAC, volume 1, pages 481-492, 1961.
9. N. Le Novère et al. The Systems Biology Graphical Notation. Nature Biotechnology, 27:735-741, 2009.
10. P Lindskog. Methods, Algorithms and Tools for System Identification Based on Prior Knowledge. PhD Thesis no 436, Linköping University, May 1996.
11. T Lipniacki, P Paszek, A R Brasier, B Luxon, and Kimmel M. Mathematical model of nf-kb regulatory module. J Theoretical Biology, 228:195-215, 2004.
12. L Ljung and T Glad. Parametrization of nonlinear model structures as linear regressions. In Proc 11th IFAC world congress, pages 67-71, 1990.
13. G Margaria, E Riccomagno, M J Chappell, and H P Wynn. Differential algebra methods for the study of the structural identifiability of rational polynomial statespace models in the biosciences. Math Biosci, 174:1-26, 2001.
14. F Ollivier. 'Le problème de l'identifiabilité structurelle globale: approche théorique, méthodes effectives et bornes de complexité'. PhD thesis, École polytechnique, France, 1990.
15. H Pohjanpalo. System identifiability based on the power series expansion of the solution. Math Biosci, 41(1-2): 21-33, 1978.
16. M.P. Saccomani, S. Audoly, and L. D'Angio. Parameter identifiability of nonlinear systems: the role of initial conditions. Automatica, 39(4):619-632, 2003.
17. B Schoeberl, C Eichler-Jonsson, E D Gilles, and G Muller. Computational modeling of the dynamics of the map kinase cascade activated by surface and internalized egf receptors. Nat Biotech, 20:370-375, 2002.
18. A Sedoglavic. A probabilistic algorithm to test local algebraic observability in polynomial time. J Symbolic Comput, 33:735-755, 2002.
19. S Vajda, KR Godfrey, and Rabitz H. Similarity transformation approach to identifiability analysis of nonlinear compartment models. Math Biosci, 93(2):271-248, 1989.
20. E D Walter. Identifiability of parametric models. Perga-mon Books Ltd, 1987.
21. J Wolf, S Dronov, F Tobin, and I Goryanin. The impact of the regulatory design on the response of epidermal growth factor receptor-mediated signal transduction towards oncogenic mutations. FEBS Journal, 274(21): 5505-5517, 2007. ISSN 1742-4658.
22. S Yamada, S Shiono, A Joo, and A Yoshimura. Control mechanism of jak/stat signal transduction pathway. FEBS Lett, 534(1-3):190-196, 2003.
23. J.W.T. Yates, N.D. Evans, and M.J. Chappell. Structural identifiability analysis via symmetries of differential equations. Automatica, 45(11):2585-2591, 2009.