메뉴 건너뛰기




Volumn 65, Issue 3, 2003, Pages 725-742

Efficient design of experiments in the Monod model

Author keywords

C optimality; D optlmality; E optimality; Least squares estimate; Locally optimal designs; Microbial growth kinetics; Monod model

Indexed keywords


EID: 0042171743     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00412     Document Type: Article
Times cited : (22)

References (22)
  • 1
    • 0028164676 scopus 로고
    • Classification of biodegradability by growth kinetic parameters
    • Blok, J. (1994) Classification of biodegradability by growth kinetic parameters. Ecotox. Environ. Sfty, 27, 294-305.
    • (1994) Ecotox. Environ. Sfty , vol.27 , pp. 294-305
    • Blok, J.1
  • 2
    • 0000083715 scopus 로고
    • Optimal Bayesian designs applied to logistic regression experiments
    • Chaloner, K. and Larntz, K. (1989) Optimal Bayesian designs applied to logistic regression experiments. J. Statist. Planng Inf., 21, 191-208.
    • (1989) J. Statist. Planng Inf. , vol.21 , pp. 191-208
    • Chaloner, K.1    Larntz, K.2
  • 3
    • 0001653224 scopus 로고
    • Locally optimal designs for estimating parameters
    • Chernoff, H. (1953) Locally optimal designs for estimating parameters. Ann. Math. Statist., 24, 586-602.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 586-602
    • Chernoff, H.1
  • 4
    • 0041740149 scopus 로고    scopus 로고
    • Efficient design of experiments in the Monod model
    • Ruhr-Universität Bochum, Bochum
    • Dette, H., Melas, V. B., Pepelyshev, A. and Strigul, N. (2002) Efficient design of experiments in the Monod model. Technical Report. Ruhr-Universität Bochum, Bochum. (Available from http: //www.ruhr-uni-boohum.de/mathematik3/.)
    • (2002) Technical Report
    • Dette, H.1    Melas, V.B.2    Pepelyshev, A.3    Strigul, N.4
  • 5
    • 21144470607 scopus 로고
    • Geometry of E-optimality
    • Dette, H. and Studden, W. J. (1993) Geometry of E-optimality. Ann. Statist., 21, 416-433.
    • (1993) Ann. Statist. , vol.21 , pp. 416-433
    • Dette, H.1    Studden, W.J.2
  • 6
    • 0000251072 scopus 로고
    • The use of a canonical form in the construction of locally optimal designs for non-linear problems
    • Ford, I., Torsney, B. and Wu, C. F. J. (1992) The use of a canonical form in the construction of locally optimal designs for non-linear problems. J. R. Statist. Soc. B, 54, 569-583.
    • (1992) J. R. Statist. Soc. B , vol.54 , pp. 569-583
    • Ford, I.1    Torsney, B.2    Wu, C.F.J.3
  • 8
    • 0000535561 scopus 로고
    • Optimal design for nonlinear regression models
    • Haines, L. M. (1993) Optimal design for nonlinear regression models. Communs Statist. Theory Meth., 22, 1613-1627.
    • (1993) Communs Statist. Theory Meth. , vol.22 , pp. 1613-1627
    • Haines, L.M.1
  • 9
    • 0000631549 scopus 로고
    • A geometric approach to optimal design for one-parameter non-linear models
    • Haines, L. M. (1995) A geometric approach to optimal design for one-parameter non-linear models. J. R. Statist. Soc. B, 57, 575-598.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 575-598
    • Haines, L.M.1
  • 10
    • 0020286666 scopus 로고
    • On the practical identifiability of microbial gowth models incorporating Michaelis-Menten type onlinearities
    • Holmberg, A. (1982) On the practical identifiability of microbial gowth models incorporating Michaelis-Menten type onlinearities. Math. Biosci., 62, 23-43.
    • (1982) Math. Biosci. , vol.62 , pp. 23-43
    • Holmberg, A.1
  • 11
    • 0000091003 scopus 로고
    • Asymptotic properties of non-linear least squares estimators
    • Jennrich, R. I. (1969) Asymptotic properties of non-linear least squares estimators. Ann. Math. Statist., 40, 633-643.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 633-643
    • Jennrich, R.I.1
  • 13
    • 0029973920 scopus 로고    scopus 로고
    • New strategies for estimating kinetic parameters in anaerobic wastewater treatment plants
    • Merkel, W., Schwarz, A., Fritz, S., Reuss, M. and Krauth, K. (1996) New strategies for estimating kinetic parameters in anaerobic wastewater treatment plants. Wat. Sci. Technol., 34, 393-401.
    • (1996) Wat. Sci. Technol. , vol.34 , pp. 393-401
    • Merkel, W.1    Schwarz, A.2    Fritz, S.3    Reuss, M.4    Krauth, K.5
  • 14
    • 0030130629 scopus 로고    scopus 로고
    • Assessment of a two-step nitrification model for activated sludge
    • Ossenbruggen, P. J., Spanjers, H. and Klapwik, A. (1996) Assessment of a two-step nitrification model for activated sludge. Wat. Res., 30, 939-953.
    • (1996) Wat. Res. , vol.30 , pp. 939-953
    • Ossenbruggen, P.J.1    Spanjers, H.2    Klapwik, A.3
  • 16
    • 0022093313 scopus 로고
    • Robust experimental design via stochastic approximation
    • Pronzato, L. and Walter, E. (1985) Robust experimental design via stochastic approximation. Math. Biosci., 75, 103-120.
    • (1985) Math. Biosci. , vol.75 , pp. 103-120
    • Pronzato, L.1    Walter, E.2
  • 18
    • 0001355083 scopus 로고
    • Efficient rounding of approximate designs
    • Pukelsheim, F. and Rieder, S. (1992) Efficient rounding of approximate designs. Biometrika, 79, 763-770.
    • (1992) Biometrika , vol.79 , pp. 763-770
    • Pukelsheim, F.1    Rieder, S.2
  • 20
    • 0000081070 scopus 로고
    • Optimal designs for binary response experiments with two design variables
    • Sitter, R. and Torsney, B. (1995) Optimal designs for binary response experiments with two design variables. Statist. Sin., 5, 405-419.
    • (1995) Statist. Sin. , vol.5 , pp. 405-419
    • Sitter, R.1    Torsney, B.2
  • 21
    • 0028990876 scopus 로고
    • Practical identifiability of a biokinetic model of activated sludge respiration
    • Vanrolleghem, P. A., Van Daele, M. and Dochain, D. (1995) Practical identifiability of a biokinetic model of activated sludge respiration. Wat. Res., 29, 2561-2570.
    • (1995) Wat. Res. , vol.29 , pp. 2561-2570
    • Vanrolleghem, P.A.1    Van Daele, M.2    Dochain, D.3
  • 22
    • 0032824017 scopus 로고    scopus 로고
    • Introducing optimal experimental design in predictive modeling: A motivating example
    • Versyck, K. J., Bernaerts, K., Geeraerd, A. H. and Van Impe, J. F. (1999) Introducing optimal experimental design in predictive modeling: a motivating example. Int. J. Food Microbiol., 51, 39-51.
    • (1999) Int. J. Food Microbiol. , vol.51 , pp. 39-51
    • Versyck, K.J.1    Bernaerts, K.2    Geeraerd, A.H.3    Van Impe, J.F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.