Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences.
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H P Wynn | M J Chappell | H. Wynn | Eva Riccomagno | M. Chappell | G Margaria | E Riccomagno | G. Margaria
[1] Dongming Wang,et al. An Implementation of the Characteristic Set Method in Maple , 1995 .
[2] S. Vajda,et al. Structural Identifiability of Linear, Bilinear, Polynomial and Rational Systems , 1984 .
[3] David A. Cox,et al. Ideals, Varieties, and Algorithms , 1997 .
[4] K R Godfrey,et al. Global identifiability of the parameters of nonlinear systems with specified inputs: a comparison of methods. , 1990, Mathematical biosciences.
[5] F. Ollivier. Le probleme de l'identifiabilite structurelle globale : approche theorique, methodes effectives et bornes de complexite , 1990 .
[6] Keith Godfrey,et al. Compartmental Models and Their Application , 1983 .
[7] S. Vajda,et al. IDENTIFIABILITY OF POLYNOMIAL SYSTEMS: STRUCTURAL AND NUMERICAL ASPECTS , 1987 .
[8] Eric Walter,et al. Identifiability of State Space Models , 1982 .
[9] L. Sokoloff,et al. Model of Kinetic Behavior of Deoxyglucose in Heterogeneous Tissues in Brain: A Reinterpretation of the Significance of Parameters Fitted to Homogeneous Tissue Models , 1991, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.
[10] Eric Walter,et al. Identifiability of parametric models , 1987 .
[11] S. I. Rubinow. Mathematical Problems in the Biological Sciences , 1987 .
[12] J. DiStefano,et al. Identifiability of Model Parameter , 1985 .
[13] A. Holmberg. On the practical identifiability of microbial growth models incorporating Michaelis-Menten type nonlinearities , 1982 .
[14] Dongming Wang,et al. Automated Practical Reasoning , 1995, Texts and Monographs in Symbolic Computation.
[15] Michel Fliess,et al. Nonlinear control theory and differential algebra , 1988 .
[16] S. T. Glad,et al. Differential Algebraic Modelling of Nonlinear Systems , 1990 .
[18] C. Cobelli,et al. A New Algorithm to Test Global Identifiability of Physiological Nonlinear Models , 1997 .
[19] T. Glad,et al. An Algebraic Approach to Linear and Nonlinear Control , 1993 .
[20] François Boulier,et al. Representation for the radical of a finitely generated differential ideal , 1995, ISSAC '95.
[21] I. Kaplansky. An introduction to differential algebra , 1957 .
[22] Lennart Ljung,et al. On global identifiability for arbitrary model parametrizations , 1994, Autom..
[23] Jochen Pfalzgraf,et al. Automated practical reasoning : algebraic approaches , 1995 .
[24] Harry L. Trentelman,et al. Essays on control : perspectives in the theory and its applications , 1993 .
[25] Krister Forsman,et al. Constructive algebraic geometry in nonlinear control , 1990, 29th IEEE Conference on Decision and Control.
[26] Brahim Sadik,et al. A Bound for the Order of Characteristic Set Elements of an Ordinary Prime Differential Ideal and some Applications , 2000, Applicable Algebra in Engineering, Communication and Computing.