Metabolic isotopomer labeling systems. Part II: structural flux identifiability analysis

Wiechert, 2001, Metabolic isotopomer labeling systems. Part I: global dynamic behavior, Math. Biosci., 169, 173, 10.1016/S0025-5564(00)00059-6 Wiechert, 1997, Bidirectional reaction steps in metabolic networks. Part I: Modelling and simulation of carbon isotope labelling experiments, Biotechnol. Bioeng., 55, 101, 10.1002/(SICI)1097-0290(19970705)55:1<101::AID-BIT12>3.0.CO;2-P Wiechert, 1999, Bidirectional reaction steps in metabolic networks. Part III: Explicit solution and analysis of isotopomer labelling systems, Biotechnol. Bioeng., 66, 69, 10.1002/(SICI)1097-0290(1999)66:2<69::AID-BIT1>3.0.CO;2-6 Stephanopoulos, 1998 Szyperski, 1998, 13C -NMR, MS and metabolic flux balancing in biotechnology research, Quart. Rev. Biophys., 31, 41, 10.1017/S0033583598003412 Wiechert, 1996, In vivo stationary flux analysis by 13C labelling experiments, Adv. Biochem. Eng. Biotechnol., 54, 109 Bailey, 1991, Towards a science of metabolic engineering, Science, 252, 1668, 10.1126/science.2047876 Petersen, 2000, In vivo quantification of parallel and bidirectional fluxes in the anaplerosis of Corynebacterium glutamicum, J. Biol. Chem., 275, 35932, 10.1074/jbc.M908728199 Wiechert, 2002, Modeling and simulation: Tools for metabolic engineering, J. Biotechnol., 94, 37, 10.1016/S0168-1656(01)00418-7 Schmidt, 1999, Quantitative analysis of metabolic fluxes in E. coli, using 2 dimensional NMR spectroscopy and complete isotopomer models, J. Biotechnol., 71, 175, 10.1016/S0168-1656(99)00021-8 Wiechert, 1997, Bidirectional reaction steps in metabolic networks. Part II: Flux estimation and statistical analysis, Biotechnol. Bioeng., 55, 118, 10.1002/(SICI)1097-0290(19970705)55:1<118::AID-BIT13>3.0.CO;2-I Möllney, 1999, Bidirectional reaction steps in metabolic networks. Part IV: Optimal design of isotopomer labeling experiments, Biotechnol. Bioeng., 66, 86, 10.1002/(SICI)1097-0290(1999)66:2<86::AID-BIT2>3.0.CO;2-A Wiechert, 1995, Algebraic methods for the analysis of redundancy and identifiability in metabolic 13C labelling systems, 169 Berthier, 1996, Identifiability and distinguishability concepts in electrochemistry, Automatica, 32, 973, 10.1016/0005-1098(96)00031-3 Delforge, 1987, Results and conjectures on the identifiability of linear systems, 21 Lecourtier, 1987, The testing of structural properties through symbolic computation, 75 Raksanyi, 1985, Identifiability and distinguishability testing via computer algebra, Math. Biosci., 77, 245, 10.1016/0025-5564(85)90100-2 Holmberg, 1982, On the practical identifiability of microbial growth models incorporating Michaelis–Menten type nonlinearities, Math. Biosci., 62, 23, 10.1016/0025-5564(82)90061-X N. Isermann, W. Wiechert, Symbolisches und ganzzahliges Rechnen zur Analyse von metabolischen Kohlenstoff-Markierungssystemen, in: D. Möller (Ed.), Proceedings 10, Ebernburger Symposium Simulation in Medizin, Biologie und Ökologie, SCS Publishing House, 2000 van Winden, 2001, A priori analysis of metabolic flux identifiability from 13C-labeling data, Biotechnol. Bioeng., 74, 505, 10.1002/bit.1142 Zupke, 1995, Intracellular flux analysis in hybridomas using mass balances and in vitro 13C NMR, Biotechnol. Bioeng., 45, 292, 10.1002/bit.260450403 Marx, 1996, Determination of the fluxes in central metabolism of Corynebacterium glutamicum by NMR spectroscopy combined with metabolite balancing, Biotechnol. Bioeng., 49, 111, 10.1002/(SICI)1097-0290(19960120)49:2<111::AID-BIT1>3.0.CO;2-T de Graaf, 2000, Use of 13C labelling and NMR spectroscopy in metabolic flux analysis de Graaf, 2000, Determination of full 13C isotopomer distributions for metabolic flux analysis using heteronuclear spin echo difference NMR spectroscopy, J. Biotechnol., 77, 25, 10.1016/S0168-1656(99)00205-9 Christensen, 1999, Isotopomer analysis using GC–MS, Metabol. Eng., 1, 282, 10.1006/mben.1999.0117 Wittmann, 1999, Mass spectrometry for metabolic flux analysis, Biotechnol. Bioeng., 62, 739, 10.1002/(SICI)1097-0290(19990320)62:6<739::AID-BIT13>3.0.CO;2-E Wiechert, 2001, A universal framework for 13C metabolic flux analysis, Metabol. Eng., 3, 265, 10.1006/mben.2001.0188 W. Wiechert, An introduction to 13C metabolic flux analysis, in: J. Setlow, A. Hollaender (Eds.), Genetic Engineering: Principles and Methods, Vol. 24, Kluwer Academic, p. 215 1987 Ljung, 1994, On global identifiability for arbitrary model parametrizations, Automatica, 30, 265, 10.1016/0005-1098(94)90029-9 Golub, 1983 Mehlhorn, 1999 Cox, 1992 Becker, 1993 Rudin, 1976