메뉴 건너뛰기




Volumn 54, Issue 4, 2008, Pages 1009-1024

Novel anticorrelation criteria for model-based experiment design: Theory and formulations

Author keywords

Kinetics; Model based experiment design; Nonlinear dynamics; Parameter correlation; Parameter identification

Indexed keywords

CONSTRAINT THEORY; IDENTIFICATION (CONTROL SYSTEMS); REACTION KINETICS; RELIABILITY THEORY;

EID: 42149131484     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11429     Document Type: Article
Times cited : (52)

References (64)
  • 1
    • 0002419565 scopus 로고
    • Design of experiments in non-linear situations
    • Box GEP, Lucas HL. Design of experiments in non-linear situations. Biometrika. 1959;46:77-90.
    • (1959) Biometrika , vol.46 , pp. 77-90
    • Box, G.E.P.1    Lucas, H.L.2
  • 2
    • 0011302720 scopus 로고
    • The experimental study of physical mechanisms
    • Box GEP, Hunter WG. The experimental study of physical mechanisms. Technometrics. 1965;7:23-42.
    • (1965) Technometrics , vol.7 , pp. 23-42
    • Box, G.E.P.1    Hunter, W.G.2
  • 4
    • 0000104841 scopus 로고
    • Design of experiments for parameter estimation in multiresponse situations
    • Draper NR, Hunter WG. Design of experiments for parameter estimation in multiresponse situations. Biometrika. 1966;53:522-533.
    • (1966) Biometrika , vol.53 , pp. 522-533
    • Draper, N.R.1    Hunter, W.G.2
  • 5
    • 0014094525 scopus 로고
    • The use of prior distributions in the design of experiments for parameter estimation in nonlinear situations
    • Draper NR, Hunter WG. The use of prior distributions in the design of experiments for parameter estimation in nonlinear situations. Biometrika. 1967;54:147-153.
    • (1967) Biometrika , vol.54 , pp. 147-153
    • Draper, N.R.1    Hunter, W.G.2
  • 6
    • 0014186512 scopus 로고
    • The use of prior distributions in the design of experiments for parameter estimation in nonlinear situations: Multi-response case
    • Draper NR, Hunter WG. The use of prior distributions in the design of experiments for parameter estimation in nonlinear situations: multi-response case. Biometrika. 1967;54:662-665.
    • (1967) Biometrika , vol.54 , pp. 662-665
    • Draper, N.R.1    Hunter, W.G.2
  • 7
    • 0007167647 scopus 로고
    • The occurrence of replications in optimal designs of experiments to estimate parameters in non-linear models
    • Box MJ. The occurrence of replications in optimal designs of experiments to estimate parameters in non-linear models. J Roy Stat Soc Ser B. 1968;30:290-320.
    • (1968) J Roy Stat Soc Ser B , vol.30 , pp. 290-320
    • Box, M.J.1
  • 8
    • 0001147975 scopus 로고
    • A joint design criterion for the dual problem of model discrimination and parameter estimation
    • Hill WJ, Hunter WG, Wichern DW. A joint design criterion for the dual problem of model discrimination and parameter estimation. Technometrics. 1968;10:145-160.
    • (1968) Technometrics , vol.10 , pp. 145-160
    • Hill, W.J.1    Hunter, W.G.2    Wichern, D.W.3
  • 9
    • 0014467354 scopus 로고
    • Designing experiments for precise estimation of all or some of the constants in a mechanistic model
    • Hunter WG, Hill WJ, Henson TL. Designing experiments for precise estimation of all or some of the constants in a mechanistic model. Canad J Chem Eng. 1969;47:76-80.
    • (1969) Canad J Chem Eng , vol.47 , pp. 76-80
    • Hunter, W.G.1    Hill, W.J.2    Henson, T.L.3
  • 10
    • 0028539469 scopus 로고
    • Experimental design considerations for dynamic systems
    • Shirt RW, Harris TJ, Bacon DW. Experimental design considerations for dynamic systems. Ind Eng Chem Res. 1994;33:2656-2667.
    • (1994) Ind Eng Chem Res , vol.33 , pp. 2656-2667
    • Shirt, R.W.1    Harris, T.J.2    Bacon, D.W.3
  • 12
    • 0034661129 scopus 로고    scopus 로고
    • Statistical tools for optimal dynamic model building
    • Asprey SP, Macchietto S. Statistical tools for optimal dynamic model building. Comput Chem Eng. 2000;24:1261-1267.
    • (2000) Comput Chem Eng , vol.24 , pp. 1261-1267
    • Asprey, S.P.1    Macchietto, S.2
  • 13
    • 0036604957 scopus 로고    scopus 로고
    • Designing robust optimal dynamic experiments
    • Asprey SP, Macchietto S. Designing robust optimal dynamic experiments. J Process Control. 2002;12:545-556.
    • (2002) J Process Control , vol.12 , pp. 545-556
    • Asprey, S.P.1    Macchietto, S.2
  • 14
    • 0037289848 scopus 로고    scopus 로고
    • Model-based measurement of diffusion using Raman spectroscopy
    • Bardow A, Marquardt W, Göke V, Koss HJ, Lucas K. Model-based measurement of diffusion using Raman spectroscopy. AIChE J. 2003;49:323-334.
    • (2003) AIChE J , vol.49 , pp. 323-334
    • Bardow, A.1    Marquardt, W.2    Göke, V.3    Koss, H.J.4    Lucas, K.5
  • 15
    • 0034255432 scopus 로고    scopus 로고
    • Numerical methods for optimum experimental design in DAE systems
    • Bauer I, Bock G, Korkel S, Schloder JP. Numerical methods for optimum experimental design in DAE systems. J Comput Appl Math. 2000;120:1-25.
    • (2000) J Comput Appl Math , vol.120 , pp. 1-25
    • Bauer, I.1    Bock, G.2    Korkel, S.3    Schloder, J.P.4
  • 16
    • 15744362099 scopus 로고    scopus 로고
    • Optimal dynamic experiment design for estimation of microbial growth kinetics at sub-optimal temperatures: Modes of implementation
    • Bernaerts K, Van Impe JF. Optimal dynamic experiment design for estimation of microbial growth kinetics at sub-optimal temperatures: modes of implementation. Simul Modell Practice Theory. 2005;13: 129-138.
    • (2005) Simul Modell Practice Theory , vol.13 , pp. 129-138
    • Bernaerts, K.1    Van Impe, J.F.2
  • 18
    • 3042592739 scopus 로고    scopus 로고
    • Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes
    • Korkel S, Kostina E, Bock HG, Schloder JP. Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes. Optimization Meth Software. 2004; 19:327-338.
    • (2004) Optimization Meth Software , vol.19 , pp. 327-338
    • Korkel, S.1    Kostina, E.2    Bock, H.G.3    Schloder, J.P.4
  • 19
    • 0031239967 scopus 로고    scopus 로고
    • Practical identification of unstructured growth kinetics by application of optimal experimental design
    • Versyck KJ, Claes JE, Van Impe JF. Practical identification of unstructured growth kinetics by application of optimal experimental design. Biotechnol Prog. 1997;13:524-531.
    • (1997) Biotechnol Prog , vol.13 , pp. 524-531
    • Versyck, K.J.1    Claes, J.E.2    Van Impe, J.F.3
  • 20
    • 0345867469 scopus 로고    scopus 로고
    • Optimal experimental design for practical identification of unstructured growth models
    • Versyck KJ, Claes JE, Van Impe JF. Optimal experimental design for practical identification of unstructured growth models. Math Comput Simul. 1998;46:621-629.
    • (1998) Math Comput Simul , vol.46 , pp. 621-629
    • Versyck, K.J.1    Claes, J.E.2    Van Impe, J.F.3
  • 22
    • 33846687238 scopus 로고    scopus 로고
    • Validation of a model for biodiesel production through model-based experiment design
    • Franceschini G, Macchietto S. Validation of a model for biodiesel production through model-based experiment design. Ind Eng Chem Res. 2007;46:220-232.
    • (2007) Ind Eng Chem Res , vol.46 , pp. 220-232
    • Franceschini, G.1    Macchietto, S.2
  • 23
    • 42149120000 scopus 로고    scopus 로고
    • Anti-correlation approach to model-based experiment design: Application to a biodiesel production process
    • in press
    • Franceschini G, Macchietto, S. Anti-correlation approach to model-based experiment design: application to a biodiesel production process. Ind Eng Chem Res 2008. in press.
    • (2008) Ind Eng Chem Res
    • Franceschini, G.1    Macchietto, S.2
  • 24
    • 42149110704 scopus 로고    scopus 로고
    • Anti-correlation approach to model-based experiment design: Application to a biodiesel production process
    • In press
    • Franceschini G, Macchietto, S. Anti-correlation approach to model-based experiment design: application to a biodiesel production process. In press.
    • Franceschini, G.1    Macchietto, S.2
  • 25
    • 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
  • 26
    • 0032833773 scopus 로고    scopus 로고
    • Mathematical problems in fitting kinetic models - some new perspectives
    • Asprey SP, Naka Y. Mathematical problems in fitting kinetic models - some new perspectives. J Chem Eng Jpn. 1999;32:328-337.
    • (1999) J Chem Eng Jpn , vol.32 , pp. 328-337
    • Asprey, S.P.1    Naka, Y.2
  • 28
    • 0028481104 scopus 로고
    • Estimating rate parameters in nonlinear rate equations
    • Watts DG. Estimating rate parameters in nonlinear rate equations. Can J Chem Eng. 1994;72:701-710.
    • (1994) Can J Chem Eng , vol.72 , pp. 701-710
    • Watts, D.G.1
  • 29
    • 0027594273 scopus 로고
    • Approximation of parameter uncertainty in nonlinear optimisation-based parameter estimation schemes
    • Witkowsky WR, Allen JJ. Approximation of parameter uncertainty in nonlinear optimisation-based parameter estimation schemes. AIAA J. 1993;31:947-950.
    • (1993) AIAA J , vol.31 , pp. 947-950
    • Witkowsky, W.R.1    Allen, J.J.2
  • 30
    • 0002256849 scopus 로고
    • Relative curvature measures of nonlinearity
    • Bates DM, Watts DG. Relative curvature measures of nonlinearity. J Roy Stat Soc Ser B. 1980;42:1-25.
    • (1980) J Roy Stat Soc Ser B , vol.42 , pp. 1-25
    • Bates, D.M.1    Watts, D.G.2
  • 31
    • 0000480450 scopus 로고
    • Parameter transformations for improved approximate confidence-regions in non-linear least-squares
    • Bates DM, Watts DG. Parameter transformations for improved approximate confidence-regions in non-linear least-squares. Ann Stat. 1981;9:1152-1167.
    • (1981) Ann Stat , vol.9 , pp. 1152-1167
    • Bates, D.M.1    Watts, D.G.2
  • 32
    • 24944494963 scopus 로고    scopus 로고
    • Curvature-based methods for designing optimally informative experiments in multiresponse non-linear dynamic situations
    • Benabbas L, Asprey SP, Macchietto S. Curvature-based methods for designing optimally informative experiments in multiresponse non-linear dynamic situations. Ind Eng Chem Res. 2005;44:7120-7131.
    • (2005) Ind Eng Chem Res , vol.44 , pp. 7120-7131
    • Benabbas, L.1    Asprey, S.P.2    Macchietto, S.3
  • 33
    • 33845374353 scopus 로고    scopus 로고
    • Agarwal A, Brisk ML. Response to comments on Sequential experimental design for precise parameter estimation. I. Use of reparameterization. Ind Eng Chem Process Design Dev. 1986;25:1044.
    • Agarwal A, Brisk ML. Response to comments on "Sequential experimental design for precise parameter estimation. I. Use of reparameterization." Ind Eng Chem Process Design Dev. 1986;25:1044.
  • 34
    • 0033952579 scopus 로고    scopus 로고
    • On the design of optimal dynamic experiments for parameter estimation of a Ratkowsky-type growth kinetics at suboptimal temperatures
    • Bemaerts K, Versyck KJ, Van Impe JF. On the design of optimal dynamic experiments for parameter estimation of a Ratkowsky-type growth kinetics at suboptimal temperatures. Int J Food Microbiol. 2000;54:27-38.
    • (2000) Int J Food Microbiol , vol.54 , pp. 27-38
    • Bemaerts, K.1    Versyck, K.J.2    Van Impe, J.F.3
  • 39
    • 0030130629 scopus 로고
    • Assessment of a two-step nitrification model for activated sludge
    • Ossenbruggen PJ, Spanjers H, Klapwik A. Assessment of a two-step nitrification model for activated sludge. Water Res. 1966;30:939-953.
    • (1966) Water Res , vol.30 , pp. 939-953
    • Ossenbruggen, P.J.1    Spanjers, H.2    Klapwik, A.3
  • 40
    • 0030273967 scopus 로고    scopus 로고
    • Simultaneous estimation of kinetic and heat transfer parameters of a wall-cooled fixed-bed reactor
    • Cheng ZM, Yuan WK. Simultaneous estimation of kinetic and heat transfer parameters of a wall-cooled fixed-bed reactor. Chem Eng Sci. 1996;51:4791-4800.
    • (1996) Chem Eng Sci , vol.51 , pp. 4791-4800
    • Cheng, Z.M.1    Yuan, W.K.2
  • 41
    • 0016511059 scopus 로고
    • Statistical assessment of chemical kinetic models
    • Pritchard D, Bacon DW. Statistical assessment of chemical kinetic models. Chem Eng Sci. 1975;30:567-574.
    • (1975) Chem Eng Sci , vol.30 , pp. 567-574
    • Pritchard, D.1    Bacon, D.W.2
  • 42
    • 0018109827 scopus 로고
    • Prospects for reducing correlations among parameter estimates in kinetic models
    • Pritchard D, Bacon DW. Prospects for reducing correlations among parameter estimates in kinetic models. Chem Eng Sci. 1978;33: 1539-1543.
    • (1978) Chem Eng Sci , vol.33 , pp. 1539-1543
    • Pritchard, D.1    Bacon, D.W.2
  • 43
    • 0022664748 scopus 로고
    • Statistical methods for experimental planning in chemical engineering
    • Rippin DWT. Statistical methods for experimental planning in chemical engineering. Comput Chem Eng. 1988;12:109-116.
    • (1988) Comput Chem Eng , vol.12 , pp. 109-116
    • Rippin, D.W.T.1
  • 44
    • 0021786131 scopus 로고
    • Sequential experiment design for precise parameter estimation. I. Use of reparameterization
    • Agarwal A, Brisk ML. Sequential experiment design for precise parameter estimation. I. Use of reparameterization. Ind Eng Chem Process Design Dev. 1985;24:203-207.
    • (1985) Ind Eng Chem Process Design Dev , vol.24 , pp. 203-207
    • Agarwal, A.1    Brisk, M.L.2
  • 45
    • 0030786986 scopus 로고    scopus 로고
    • Optimal experiment planning for environmental kinetic models subject to data heteroscedasticity
    • Dovi VG. Optimal experiment planning for environmental kinetic models subject to data heteroscedasticity. Environmetrics. 1997;8: 303-311.
    • (1997) Environmetrics , vol.8 , pp. 303-311
    • Dovi, V.G.1
  • 46
    • 0028255068 scopus 로고
    • New procedure for optimal design of sequential experiments in kinetic models
    • Dovi VG, Reverberi AP, Acevedo-Duarte L. New procedure for optimal design of sequential experiments in kinetic models. Ind Eng Chem Res. 1994;33:62-68.
    • (1994) Ind Eng Chem Res , vol.33 , pp. 62-68
    • Dovi, V.G.1    Reverberi, A.P.2    Acevedo-Duarte, L.3
  • 47
    • 0024106984 scopus 로고
    • Nonlinear transformations for parameter-estimation
    • Espie DM, Macchietto S. Nonlinear transformations for parameter-estimation. Ind Eng Chem Res. 1988;27:2175-2179.
    • (1988) Ind Eng Chem Res , vol.27 , pp. 2175-2179
    • Espie, D.M.1    Macchietto, S.2
  • 48
    • 10944227284 scopus 로고    scopus 로고
    • Data-driven approaches to the modelling of bioprocesses
    • Bernaerts K, Van Impe JF. Data-driven approaches to the modelling of bioprocesses. Trans Inst Measure Control. 2004;26:349-372.
    • (2004) Trans Inst Measure Control , vol.26 , pp. 349-372
    • Bernaerts, K.1    Van Impe, J.F.2
  • 49
    • 0020550095 scopus 로고
    • Fixed bed-catalytic reactor modelling: The heat transfer problem
    • Paterson W, Carberry JJ. Fixed bed-catalytic reactor modelling: the heat transfer problem. Chem Eng Sci. 1983;38:175-180.
    • (1983) Chem Eng Sci , vol.38 , pp. 175-180
    • Paterson, W.1    Carberry, J.J.2
  • 50
    • 0033385771 scopus 로고    scopus 로고
    • Estimating the parameters of the Baranyi model for bacterial growth
    • Grijspeerdt K, Vanrolleghem P. Estimating the parameters of the Baranyi model for bacterial growth. Food Microbiol. 1999;16:593-605.
    • (1999) Food Microbiol , vol.16 , pp. 593-605
    • Grijspeerdt, K.1    Vanrolleghem, P.2
  • 51
    • 0021786647 scopus 로고
    • Sequential experiment design for precise parameter estimation. II. Design criteria
    • Agarwal A, Brisk ML. Sequential experiment design for precise parameter estimation. II. Design criteria. Ind Eng Chem Process Design Dev. 1985;24:207-210.
    • (1985) Ind Eng Chem Process Design Dev , vol.24 , pp. 207-210
    • Agarwal, A.1    Brisk, M.L.2
  • 52
    • 0038066923 scopus 로고    scopus 로고
    • Precise parameter estimation for chemical batch reactions in heterogeneous medium
    • Issanchou S, Cognet P, Cabassud M. Precise parameter estimation for chemical batch reactions in heterogeneous medium. Chem Eng Sci. 2003;58:1805-1813.
    • (2003) Chem Eng Sci , vol.58 , pp. 1805-1813
    • Issanchou, S.1    Cognet, P.2    Cabassud, M.3
  • 53
    • 0016339217 scopus 로고
    • Optimal input signals for parameter estimation in dynamic systems survey and new results
    • Mehra RK. Optimal input signals for parameter estimation in dynamic systems survey and new results. IEEE Trans Automatic Control, AC19. 1974;6:753-768.
    • (1974) IEEE Trans Automatic Control , vol.AC19 , Issue.6 , pp. 753-768
    • Mehra, R.K.1
  • 56
    • 0000481011 scopus 로고
    • Sensitivity analysis of complex kinetic systems. Tools and applications
    • Turányi 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
    • Turányi, T.1
  • 57
    • 0038918070 scopus 로고
    • Principal component analysis of kinetic models
    • Vajda S, Valko P, Turányi T. Principal component analysis of kinetic models. Int J Chem Kinet. 1985;17:55-81.
    • (1985) Int J Chem Kinet , vol.17 , pp. 55-81
    • Vajda, S.1    Valko, P.2    Turányi, T.3
  • 58
    • 0343564964 scopus 로고
    • Computer aided design of experiments
    • PhD Thesis, University of London, UK
    • Zullo L. Computer aided design of experiments. An engineering approach, PhD Thesis, University of London, UK, 1991.
    • (1991) An engineering approach
    • Zullo, L.1
  • 59
    • 0037434828 scopus 로고    scopus 로고
    • Determination of adsorption and desorption parameters from ignition temperature measurements in catalytic combustion systems
    • Perger T, Kovács T, Turányi T, Treviño C. Determination of adsorption and desorption parameters from ignition temperature measurements in catalytic combustion systems. J Phys Chem B. 2003; 107: 2262-2274.
    • (2003) J Phys Chem B , vol.107 , pp. 2262-2274
    • Perger, T.1    Kovács, T.2    Turányi, T.3    Treviño, C.4
  • 62
    • 0028497977 scopus 로고
    • Solution of a class of multistage dynamic optimization problems. Problems without path constraints
    • Vassiliadis VV, Sargent RWH, Pantelides CC. Solution of a class of multistage dynamic optimization problems. Problems without path constraints. Ind Eng Chem Res. 1994;33:2111-2122.
    • (1994) Ind Eng Chem Res , vol.33 , pp. 2111-2122
    • Vassiliadis, V.V.1    Sargent, R.W.H.2    Pantelides, C.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.