Global identifiability of linear compartmental models-a computer algebra algorithm
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C. Cobelli | L. D'Angio | S. Audoly | C. Cobelli | M. Saccomani | S. Audoly | L. D'Angiò | M.P. Saccomani | Claudio Cobelli
[1] Malcolm MacCallum,et al. Algebraic computing with REDUCE : lecture notes from the First Brazilian School on Computer Algebra , 1991 .
[2] S. Vajda,et al. IDENTIFIABILITY OF POLYNOMIAL SYSTEMS: STRUCTURAL AND NUMERICAL ASPECTS , 1987 .
[3] C. Cobelli,et al. Parameter and structural identifiability concepts and ambiguities: a critical review and analysis. , 1980, The American journal of physiology.
[4] Bruno Buchberger,et al. An Algorithmic Criterion for the Solvability of a System of Algebraic Equations (translated by Michael Abramson and Robert Lumbert) , 1998 .
[5] A. W. Kelman,et al. Compartmental models and their application , 1985 .
[6] K. R. Godfrey,et al. Chapter 1 – IDENTIFIABILITY OF MODEL PARAMETERS , 1987 .
[7] S. Audoly,et al. On the identifiability of linear compartmental systems: a revisited transfer function approach based on topological properties , 1983 .
[8] J. DiStefano,et al. Identifiability of Model Parameter , 1985 .
[9] J. Jacquez,et al. Numerical parameter identifiability and estimability: Integrating identifiability, estimability, and optimal sampling design , 1985 .
[10] J. Jacquez. Compartmental analysis in biology and medicine , 1985 .
[11] Heinz Kredel,et al. Gröbner Bases: A Computational Approach to Commutative Algebra , 1993 .
[12] Maria Pia Saccomani,et al. Pride: A Program to Test a Priori Global Identifiability of Linear Compartmental Models , 1994 .
[13] Yves Lecourtier,et al. Unidentifiable compartmental models: what to do? , 1981 .
[14] D M Foster,et al. Zinc metabolism in humans: a kinetic model. , 1984, The American journal of physiology.
[15] C. Cobelli,et al. On the structural identifiability of biological compartmental systems in a general input-output configuration , 1976 .
[16] C Cobelli,et al. Unappreciation of a priori identifiability in software packages causes ambiguities in numerical estimates. , 1990, The American journal of physiology.
[17] R. Bellman,et al. On structural identifiability , 1970 .
[18] Claudio Cobelli,et al. Identifiability results on some constrained compartmental systems , 1979 .
[19] Lennart Ljung,et al. On global identifiability for arbitrary model parametrizations , 1994, Autom..
[20] J. P. Norton,et al. An investigation of the sources of nonuniqueness in deterministic identifiability , 1982 .
[21] Claudio Cobelli,et al. Identifiability of compartmental systems and related structural properties , 1979 .
[22] E. Walter,et al. Global approaches to identifiability testing for linear and nonlinear state space models , 1982 .
[23] Eric Walter,et al. On the structural output distinguishability of parametric models, and its relations with structural identifiability , 1984 .
[24] F. Ollivier. Le probleme de l'identifiabilite structurelle globale : approche theorique, methodes effectives et bornes de complexite , 1990 .
[25] J A Jacquez,et al. Parameter estimation: local identifiability of parameters. , 1990, The American journal of physiology.
[26] C. Cobelli,et al. An automatized topological method to test a priori global identifiability of a class of compartmental models , 1992, 1992 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.
[27] J Shepherd,et al. Sensitive methods to study human apolipoprotein B metabolism using stable isotope-labeled amino acids. , 1996, The American journal of physiology.
[28] Leontina D'Angiò. On some topological properties of a strongly connected compartmental system with application to the identifiability problem , 1985 .
[29] C. Cobelli,et al. A minimal input-output configuration for a priori identifiability of a compartmental model of leucine metabolism , 1993, IEEE Transactions on Biomedical Engineering.
[30] C. Cobelli,et al. Qualitative experiment design in physiological system identification , 1992, IEEE Control Systems.
[31] Ewart R. Carson,et al. The mathematical modeling of metabolic and endocrine systems : model formulation, identification, and validation , 1983 .