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Volumn 58, Issue 7, 2012, Pages 2085-2096

Generalization of a parameter set selection procedure based on orthogonal projections and the D-optimality criterion

Author keywords

Biochemical pathways; D optimality; Dynamic systems; Optimal experimental design; Orthogonal projection; Parameter estimation; Parameter selection

Indexed keywords

BIOCHEMICAL PATHWAY; D-OPTIMALITY; OPTIMAL EXPERIMENTAL DESIGNS; ORTHOGONAL PROJECTION; PARAMETER SELECTION;

EID: 84862010046     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12727     Document Type: Article
Times cited : (21)

References (42)
  • 1
    • 0141606905 scopus 로고    scopus 로고
    • Modeling ethylene/butene copolymerization with multi-site catalysts: parameter estimability and experimental design
    • Yao KZ, Shaw BM, Kou B, McAuley KB, Bacon DW. Modeling ethylene/butene copolymerization with multi-site catalysts: parameter estimability and experimental design. Polym React Eng. 2003; 11: 563-588.
    • (2003) Polym React Eng. , vol.11 , pp. 563-588
    • Yao, K.Z.1    Shaw, B.M.2    Kou, B.3    McAuley, K.B.4    Bacon, D.W.5
  • 2
    • 37649008768 scopus 로고    scopus 로고
    • Parameter ranking by orthogonalization-applied to nonlinear mechanistic models
    • Lund BF, Foss BA. Parameter ranking by orthogonalization-applied to nonlinear mechanistic models. Automatica. 2008; 44: 278-281.
    • (2008) Automatica. , vol.44 , pp. 278-281
    • Lund, B.F.1    Foss, B.A.2
  • 3
    • 0034986710 scopus 로고    scopus 로고
    • Practical identifiability analysis of large environmental simulation models
    • Brun R, Reichert P, Kunsch HR. Practical identifiability analysis of large environmental simulation models. Water Resour Res. 2001; 37: 1015-1030.
    • (2001) Water Resour Res. , vol.37 , pp. 1015-1030
    • Brun, R.1    Reichert, P.2    Kunsch, H.R.3
  • 4
    • 0035388765 scopus 로고    scopus 로고
    • Biogeochemical model of Lake Zurich: sensitivity, identifiability and uncertainty analysis
    • Omlin M, Brun R, Reichert P. Biogeochemical model of Lake Zurich: sensitivity, identifiability and uncertainty analysis. Ecol Model. 2001; 141: 105-123.
    • (2001) Ecol Model. , vol.141 , pp. 105-123
    • Omlin, M.1    Brun, R.2    Reichert, P.3
  • 5
    • 0001353594 scopus 로고
    • Reduction of large reaction mechanisms
    • Turanyi T. Reduction of large reaction mechanisms. New J Chem. 1990; 14: 795-803.
    • (1990) New J Chem. , vol.14 , pp. 795-803
    • Turanyi, T.1
  • 6
    • 2342523297 scopus 로고    scopus 로고
    • Sensitivity analysis for the reduction of complex metabolism models
    • Degenring D, Froemel C, Dikta G, Takors R. Sensitivity analysis for the reduction of complex metabolism models. J Process Control. 2004; 14: 729-745.
    • (2004) J Process Control. , vol.14 , pp. 729-745
    • Degenring, D.1    Froemel, C.2    Dikta, G.3    Takors, R.4
  • 7
    • 38349061455 scopus 로고    scopus 로고
    • Experimental design tools for ordinary and algebraic differential equations
    • Schittkowski K. Experimental design tools for ordinary and algebraic differential equations. Ind Eng Chem Res. 2007; 46: 9137-9147.
    • (2007) Ind Eng Chem Res. , vol.46 , pp. 9137-9147
    • Schittkowski, K.1
  • 8
    • 68349122496 scopus 로고    scopus 로고
    • Systematic identifiability testing for unambiguous mechanistic modeling-application to JAK-STAT, MAP kinase, and NF-kappa B signaling pathway models
    • Quaiser T, Monningmann M. Systematic identifiability testing for unambiguous mechanistic modeling-application to JAK-STAT, MAP kinase, and NF-kappa B signaling pathway models. BMC Syst Biol. 2009; 3: 50.
    • (2009) BMC Syst Biol. , vol.3 , pp. 50
    • Quaiser, T.1    Monningmann, M.2
  • 9
    • 0035812245 scopus 로고    scopus 로고
    • Selection of parameters for updating in on-line models
    • Sandink CA, McAuley KB, McLellan PJ. Selection of parameters for updating in on-line models. Ind Eng Chem Res. 2001; 40: 3936-3950.
    • (2001) Ind Eng Chem Res. , vol.40 , pp. 3936-3950
    • Sandink, C.A.1    McAuley, K.B.2    McLellan, P.J.3
  • 10
    • 67650831722 scopus 로고    scopus 로고
    • Parameter set selection via clustering of parameters into pairwise indistinguishable groups of parameters
    • Chu YF, Hahn J. Parameter set selection via clustering of parameters into pairwise indistinguishable groups of parameters. Ind Eng Chem Res. 2009; 48: 6000-6009.
    • (2009) Ind Eng Chem Res. , vol.48 , pp. 6000-6009
    • Chu, Y.F.1    Hahn, J.2
  • 11
  • 12
    • 33745278563 scopus 로고    scopus 로고
    • Parameter reduction for stable dynamical systems based on Hankel singular values and sensitivity analysis
    • Sun CL, Hahn J. Parameter reduction for stable dynamical systems based on Hankel singular values and sensitivity analysis. Chem Eng Sci. 2006; 61: 5393-5403.
    • (2006) Chem Eng Sci. , vol.61 , pp. 5393-5403
    • Sun, C.L.1    Hahn, J.2
  • 13
    • 0025400871 scopus 로고
    • Qualitative and quantitative experiment design for phenomenological models-a survey
    • Walter E, Pronzato L. Qualitative and quantitative experiment design for phenomenological models-a survey. Automatica. 1990; 26: 195-213.
    • (1990) Automatica. , vol.26 , pp. 195-213
    • Walter, E.1    Pronzato, L.2
  • 14
    • 0030668331 scopus 로고    scopus 로고
    • A procedure for selecting best identifiable parameters in calibrating activated sludge model no.1 to full-scale plant data
    • Weijers SR, Vanrolleghem PA. A procedure for selecting best identifiable parameters in calibrating activated sludge model no.1 to full-scale plant data. Water Sci Technol. 1997; 36: 69-79.
    • (1997) Water Sci Technol. , vol.36 , pp. 69-79
    • Weijers, S.R.1    Vanrolleghem, P.A.2
  • 15
    • 0036753969 scopus 로고    scopus 로고
    • Practical identifiability of ASM2d parameters-systematic selection and tuning of parameter subsets
    • Brun R, Kuhni M, Siegrist H, Gujer W, Reichert P. Practical identifiability of ASM2d parameters-systematic selection and tuning of parameter subsets. Water Res. 2002; 36: 4113-4127.
    • (2002) Water Res. , vol.36 , pp. 4113-4127
    • Brun, R.1    Kuhni, M.2    Siegrist, H.3    Gujer, W.4    Reichert, P.5
  • 16
    • 35948959766 scopus 로고    scopus 로고
    • Parameter set selection for estimation of nonlinear dynamic systems
    • Chu YF, Hahn J. Parameter set selection for estimation of nonlinear dynamic systems. AICHE J. 2007; 53: 2858-2870.
    • (2007) AICHE J. , vol.53 , pp. 2858-2870
    • Chu, Y.F.1    Hahn, J.2
  • 17
    • 67650729432 scopus 로고    scopus 로고
    • Systematic identifiability study based on the Fisher Information Matrix for reducing the number of parameters calibration of an activated sludge model
    • Machado VC, Tapia G, Gabriel D, Lafuente J, Baeza JA. Systematic identifiability study based on the Fisher Information Matrix for reducing the number of parameters calibration of an activated sludge model. Environ Modell Softw. 2009; 11: 1274-1284.
    • (2009) Environ Modell Softw. , vol.11 , pp. 1274-1284
    • Machado, V.C.1    Tapia, G.2    Gabriel, D.3    Lafuente, J.4    Baeza, J.A.5
  • 18
    • 0000994551 scopus 로고
    • Sensitivity analysis in chemical kinetics
    • Rabitz H, Kramer M, Dacol D. Sensitivity analysis in chemical kinetics. Annu Rev Phys Chem. 1983; 34: 419-461.
    • (1983) Annu Rev Phys Chem. , vol.34 , pp. 419-461
    • Rabitz, H.1    Kramer, M.2    Dacol, D.3
  • 19
    • 0000481011 scopus 로고
    • Sensitivity analysis of complex kinetic systems. Tools and applications
    • Turanyi T. Sensitivity analysis of complex kinetic systems. Tools and applications. J Math Chem. 1990; 5: 203-248.
    • (1990) J Math Chem. , vol.5 , pp. 203-248
    • Turanyi, T.1
  • 20
    • 0021940614 scopus 로고
    • Sensitivity analysis of initial value problems with mixed odes and algebraic equations
    • Caracotsios M, Stewart WE. Sensitivity analysis of initial value problems with mixed odes and algebraic equations. Comput Chem Eng. 1985; 9: 359-365.
    • (1985) Comput Chem Eng. , vol.9 , pp. 359-365
    • Caracotsios, M.1    Stewart, W.E.2
  • 21
    • 0023977978 scopus 로고
    • The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations
    • Leis JR, Kramer MA. The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations. ACM Trans Math Softw. 1988; 14: 45-60.
    • (1988) ACM Trans Math Softw. , vol.14 , pp. 45-60
    • Leis, J.R.1    Kramer, M.A.2
  • 22
    • 52649139002 scopus 로고    scopus 로고
    • Integrating parameter selection with experimental design under uncertainty for nonlinear dynamic
    • Chu YF, Hahn J. Integrating parameter selection with experimental design under uncertainty for nonlinear dynamic. AICHE J. 2008; 54: 2310-2320.
    • (2008) AICHE J. , vol.54 , pp. 2310-2320
    • Chu, Y.F.1    Hahn, J.2
  • 23
    • 0033079713 scopus 로고    scopus 로고
    • Subset selection for improved parameter estimation in on-line identification of a synchronous generator
    • Burth M, Verghese GC, Velez-Reyes M. Subset selection for improved parameter estimation in on-line identification of a synchronous generator. IEEE Trans Power Syst. 1999; 14: 218-225.
    • (1999) IEEE Trans Power Syst. , vol.14 , pp. 218-225
    • Burth, M.1    Verghese, G.C.2    Velez-Reyes, M.3
  • 25
    • 25444510601 scopus 로고    scopus 로고
    • Iterative approach to model identification of biological networks
    • Gadkar KG, Gunawan R, Doyle FJ. Iterative approach to model identification of biological networks. BMC Bioinformatics. 2005; 6: 155.
    • (2005) BMC Bioinformatics. , vol.6 , pp. 155
    • Gadkar, K.G.1    Gunawan, R.2    Doyle, F.J.3
  • 26
    • 18144392380 scopus 로고    scopus 로고
    • Mathematical model and parameter estimation for gas-phase ethylene homopolymerization with supported metallocene catalyst
    • Kou B, McAuley KB, Hsu CC, Bacon DW, Yao KZ. Mathematical model and parameter estimation for gas-phase ethylene homopolymerization with supported metallocene catalyst. Ind Eng Chem Res. 2005; 44: 2428-2442.
    • (2005) Ind Eng Chem Res. , vol.44 , pp. 2428-2442
    • Kou, B.1    McAuley, K.B.2    Hsu, C.C.3    Bacon, D.W.4    Yao, K.Z.5
  • 27
    • 30544450666 scopus 로고    scopus 로고
    • Kinetics and mechanisms in carbocationic polymerization: the quest for true rate constants
    • Puskas JE, Chan SWP, McAuley KB, Shaikh S, Kaszas G. Kinetics and mechanisms in carbocationic polymerization: the quest for true rate constants. J Polym Sci Pol Chem. 2005; 43: 5394-5413.
    • (2005) J Polym Sci Pol Chem. , vol.43 , pp. 5394-5413
    • Puskas, J.E.1    Chan, S.W.P.2    McAuley, K.B.3    Shaikh, S.4    Kaszas, G.5
  • 28
    • 33750374139 scopus 로고    scopus 로고
    • Linking data to models: data regression
    • Jaqaman K, Danuser G. Linking data to models: data regression. Nat Rev Mol Cell Biol. 2006; 7: 813-819.
    • (2006) Nat Rev Mol Cell Biol. , vol.7 , pp. 813-819
    • Jaqaman, K.1    Danuser, G.2
  • 29
    • 33751101584 scopus 로고    scopus 로고
    • Insights into the behaviour of systems biology models from dynamic sensitivty and identifiability analysis: a case study of an NF-kappa B signalling pathway
    • Yue H, Brown M, Knowles J, Wang H, Broomhead DS, Kell DB. Insights into the behaviour of systems biology models from dynamic sensitivty and identifiability analysis: a case study of an NF-kappa B signalling pathway. Mol Biosyst. 2006; 2: 640-649.
    • (2006) Mol Biosyst. , vol.2 , pp. 640-649
    • Yue, H.1    Brown, M.2    Knowles, J.3    Wang, H.4    Broomhead, D.S.5    Kell, D.B.6
  • 30
    • 77953126571 scopus 로고    scopus 로고
    • Modeling and optimization of a seeded suspension polymerization process
    • Lin WJ, Biegler LT, Jacobson AM. Modeling and optimization of a seeded suspension polymerization process. Chem Eng Sci. 2010; 65: 4350-4362.
    • (2010) Chem Eng Sci. , vol.65 , pp. 4350-4362
    • Lin, W.J.1    Biegler, L.T.2    Jacobson, A.M.3
  • 32
    • 0029483290 scopus 로고
    • Subset selection in identification, and application to speed and parameter estimation for induction machines. In: Proceedings of the 4th IEEE Conference on Control Applications, Albany
    • Velez-Reyes M, Verghese GC. Subset selection in identification, and application to speed and parameter estimation for induction machines. In: Proceedings of the 4th IEEE Conference on Control Applications, Albany, 1995: 991-997.
    • (1995) , pp. 991-997
    • Velez-Reyes, M.1    Verghese, G.C.2
  • 33
    • 0035506760 scopus 로고    scopus 로고
    • Nonlinear dynamic model evaluation from disturbance measurements
    • Hiskens IA. Nonlinear dynamic model evaluation from disturbance measurements. IEEE Trans Power Syst. 2001; 16: 702-710.
    • (2001) IEEE Trans Power Syst. , vol.16 , pp. 702-710
    • Hiskens, I.A.1
  • 35
    • 52149085229 scopus 로고    scopus 로고
    • Model-based design of experiments for parameter precision: State of the art
    • Franceschini G, Macchietto S. Model-based design of experiments for parameter precision: State of the art. Chem Eng Sci. 2008; 63: 4846-4872.
    • (2008) Chem Eng Sci. , vol.63 , pp. 4846-4872
    • Franceschini, G.1    Macchietto, S.2
  • 36
    • 58849137994 scopus 로고    scopus 로고
    • Systems biology: experimental design
    • Kreutz C, Timmer J. Systems biology: experimental design. FEBS J. 2009; 276: 923-942.
    • (2009) FEBS J. , vol.276 , pp. 923-942
    • Kreutz, C.1    Timmer, J.2
  • 37
    • 79954602638 scopus 로고    scopus 로고
    • On identifiability of nonlinear ODE models and applications in viral dynamics
    • Miao HY, Xia XH, Perelson AS, Wu HL. On identifiability of nonlinear ODE models and applications in viral dynamics. SIAM Rev. 2011; 53: 3-39.
    • (2011) SIAM Rev. , vol.53 , pp. 3-39
    • Miao, H.Y.1    Xia, X.H.2    Perelson, A.S.3    Wu, H.L.4
  • 40
    • 33751543926 scopus 로고    scopus 로고
    • Modeling regulatory mechanisms in IL-6 signal transduction in hepatocytes
    • Singh A, Jayaraman A, Hahn J. Modeling regulatory mechanisms in IL-6 signal transduction in hepatocytes. Biotechnol Bioeng. 2006; 95: 850-862.
    • (2006) Biotechnol Bioeng. , vol.95 , pp. 850-862
    • Singh, A.1    Jayaraman, A.2    Hahn, J.3
  • 41
    • 38949143767 scopus 로고    scopus 로고
    • Parameter sensitivity analysis of IL-6 signalling pathways
    • Chu Y, Jayaraman A, Hahn J. Parameter sensitivity analysis of IL-6 signalling pathways. IET Syst Biol. 2007; 1: 342-352.
    • (2007) IET Syst Biol. , vol.1 , pp. 342-352
    • Chu, Y.1    Jayaraman, A.2    Hahn, J.3


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