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Volumn 52, Issue 2, 2006, Pages 651-667

Bayesian parameter estimation with informative priors for nonlinear systems

Author keywords

Bayesian parameter estimation; E. coli; Fermentation; Murkov chain Monte Carlo integration; Non linear dynamic models

Indexed keywords

BAYESIAN PARAMETER ESTIMATION; E. COLI; MURKOV CHAIN MONTE CARLO INTEGRATION; NON-LINEAR DYNAMIC MODELS;

EID: 32444440370     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10667     Document Type: Article
Times cited : (38)

References (40)
  • 1
    • 0029823108 scopus 로고    scopus 로고
    • Statistical aspects of kinetic modeling for food science problems
    • vanBoekel MAJS. Statistical aspects of kinetic modeling for food science problems. J Food Sci. 1996;61:477-485.
    • (1996) J Food Sci. , vol.61 , pp. 477-485
    • VanBoekel, M.A.J.S.1
  • 2
    • 0023288435 scopus 로고
    • Computational experience with confidence-regions and confidence-intervals for nonlinear least-squares
    • Donaldson JR, Schnabel RB. Computational experience with confidence-regions and confidence-intervals for nonlinear least-squares. Technometrics. 1987;29:67-82.
    • (1987) Technometrics , vol.29 , pp. 67-82
    • Donaldson, J.R.1    Schnabel, R.B.2
  • 3
    • 0032406131 scopus 로고    scopus 로고
    • Non-Linear optimization of biochemical pathways: Applications to metabolic engineering and parameter estimation
    • Mendes P, Kell DB. Non-Linear optimization of biochemical pathways: applications to metabolic engineering and parameter estimation. Bioinformatics. 1998;14:869-883.
    • (1998) Bioinformatics , vol.14 , pp. 869-883
    • Mendes, P.1    Kell, D.B.2
  • 6
    • 0000863827 scopus 로고
    • The Bayesian estimation of common parameters from several responses
    • Box GEP, Draper NR. The Bayesian estimation of common parameters from several responses. Biometrika. 1965;52:355-365.
    • (1965) Biometrika , vol.52 , pp. 355-365
    • Box, G.E.P.1    Draper, N.R.2
  • 8
    • 0000576595 scopus 로고
    • Markov-Chains for exploring posterior distributions
    • Tierney L. Markov-Chains for exploring posterior distributions. Ann Stat. 1994;22:1701-1728.
    • (1994) Ann Stat. , vol.22 , pp. 1701-1728
    • Tierney, L.1
  • 11
    • 3042733565 scopus 로고    scopus 로고
    • Bayesian estimation via sequential Monte Carlo sampling: Unconstrained nonlinear dynamic systems
    • Chen WS, Bakshi BR, Goel PK, Ungarala S. Bayesian estimation via sequential Monte Carlo sampling: unconstrained nonlinear dynamic systems. Ind Eng Chem Res. 2004;43:4012-4025.
    • (2004) Ind Eng Chem Res. , vol.43 , pp. 4012-4025
    • Chen, W.S.1    Bakshi, B.R.2    Goel, P.K.3    Ungarala, S.4
  • 12
    • 0031541029 scopus 로고    scopus 로고
    • Dynamic modeling of bacteria in a pilot drinking-water distribution system
    • Bois FY, Fahmy T, Block JC, Gatel D. Dynamic modeling of bacteria in a pilot drinking-water distribution system. Water Res. 1997;31: 3146-3156.
    • (1997) Water Res. , vol.31 , pp. 3146-3156
    • Bois, F.Y.1    Fahmy, T.2    Block, J.C.3    Gatel, D.4
  • 13
    • 0037088890 scopus 로고    scopus 로고
    • Estimation of uncertainty and variability in bacterial growth using bayesian inference, application to listeria monocytogenes
    • Pouillot R, Albert I, Cornu M, Denis JB. Estimation of uncertainty and variability in bacterial growth using bayesian inference, application to listeria monocytogenes. Int J Food Microbiol. 2003;81:87-104.
    • (2003) Int J Food Microbiol. , vol.81 , pp. 87-104
    • Pouillot, R.1    Albert, I.2    Cornu, M.3    Denis, J.B.4
  • 17
    • 0001025418 scopus 로고
    • Bayesian interpolation
    • Mackay DJC. Bayesian interpolation. Neural Comput. 1992;4:415-447.
    • (1992) Neural Comput. , vol.4 , pp. 415-447
    • Mackay, D.J.C.1
  • 18
    • 2942753787 scopus 로고    scopus 로고
    • A Bayesian inference approach to the inverse heat conduction problem
    • Wang JB, Zabaras N. A Bayesian inference approach to the inverse heat conduction problem. Int J Heat Mass Tran. 2004;47:3927-3941.
    • (2004) Int J Heat Mass Tran. , vol.47 , pp. 3927-3941
    • Wang, J.B.1    Zabaras, N.2
  • 19
    • 0032032711 scopus 로고    scopus 로고
    • Green fluorescent protein as a real time quantitative reporter of heterologous protein production
    • Albano CR, Randerseichhorn L, Bentley WE, Rao G. Green fluorescent protein as a real time quantitative reporter of heterologous protein production. Biotechnol Progr. 1998;14:351-354.
    • (1998) Biotechnol Progr. , vol.14 , pp. 351-354
    • Albano, C.R.1    Randerseichhorn, L.2    Bentley, W.E.3    Rao, G.4
  • 20
    • 0033527396 scopus 로고    scopus 로고
    • Monitoring Gfp-operon fusion protein expression during high cell density culti vation of Escherichia coli using an on-line optical sensor
    • DeLisa MP, Li JC, Rao G, Weigand WA, Bentley WE. Monitoring Gfp-operon fusion protein expression during high cell density culti vation of Escherichia coli using an on-line optical sensor. Biotechnol Bioeng. 1999;65:54-64.
    • (1999) Biotechnol Bioeng. , vol.65 , pp. 54-64
    • DeLisa, M.P.1    Li, J.C.2    Rao, G.3    Weigand, W.A.4    Bentley, W.E.5
  • 21
    • 0036861647 scopus 로고    scopus 로고
    • Identification of critical batch operating parameters in fed-batch recombmant E-coli fermentations using decision tree analysis
    • Buck KKS, Subramanian V, Block DE. Identification of critical batch operating parameters in fed-batch recombmant E-coli fermentations using decision tree analysis. Biotechnol Progr. 2002; 18:1366-1376.
    • (2002) Biotechnol Progr. , vol.18 , pp. 1366-1376
    • Buck, K.K.S.1    Subramanian, V.2    Block, D.E.3
  • 22
    • 0141756281 scopus 로고    scopus 로고
    • An integrated approach to optimization of Escherichia coli fermentations using historical data
    • Coleman MC, Buck KKS, Block DE. An integrated approach to optimization of Escherichia coli fermentations using historical data. Biotechnol Bioeng. 2003;84:274-285.
    • (2003) Biotechnol Bioeng. , vol.84 , pp. 274-285
    • Coleman, M.C.1    Buck, K.K.S.2    Block, D.E.3
  • 23
    • 0001874549 scopus 로고
    • An introduction to parameter estimation using Bayesian probability theory
    • Fougère PF, ed.. Dordrecht: Kluwer Academic Publishers;
    • Bretthorst GL. An introduction to parameter estimation using Bayesian probability theory. In: Fougère PF, ed. Maximum Entropy and Bayesian Methods. Dordrecht: Kluwer Academic Publishers; 1990:53-79.
    • (1990) Maximum Entropy and Bayesian Methods , pp. 53-79
    • Bretthorst, G.L.1
  • 25
    • 0001788189 scopus 로고
    • From Laplace to supernova Sn 1987a: Bayesian inference in astrophysics
    • Fougère PF, ed.. Dordrecht: Kluwer Academic Publishers;
    • Loredo TJ. From Laplace to supernova Sn 1987a: Bayesian inference in astrophysics. In: Fougère PF, ed. Maximum Entropy and Bayesian Methods. Dordrecht: Kluwer Academic Publishers; 1990:81-142.
    • (1990) Maximum Entropy and Bayesian Methods , pp. 81-142
    • Loredo, T.J.1
  • 32
    • 32344446687 scopus 로고
    • Understanding the Metropolis-hastings algorithm
    • Chib S, Greenberg E. Understanding the Metropolis-Hastings algorithm. Am Stat. 1995;49:327-335.
    • (1995) Am Stat. , vol.49 , pp. 327-335
    • Chib, S.1    Greenberg, E.2
  • 33
    • 0031285157 scopus 로고    scopus 로고
    • Weak convergence and optimal scaling of random walk Metropolis algorithms
    • Roberts GO, Gelman A, Gilks WR. Weak convergence and optimal scaling of random walk Metropolis algorithms. Ann Appl Probab. 1997;7:110-120.
    • (1997) Ann Appl Probab. , vol.7 , pp. 110-120
    • Roberts, G.O.1    Gelman, A.2    Gilks, W.R.3
  • 34
    • 0030539336 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo convergence diagnostics: A comparative review
    • Cowles MK, Carlin BP. Markov Chain Monte Carlo convergence diagnostics: a comparative review. J Am Stat Assoc. 1996;91:883-904.
    • (1996) J Am Stat Assoc. , vol.91 , pp. 883-904
    • Cowles, M.K.1    Carlin, B.P.2
  • 35
    • 0032382838 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo in practice: A roundtable discussion
    • Kass RE, Carlin BP, Gelman A, Neal RM. Markov Chain Monte Carlo in practice: a roundtable discussion. Am Stat. 1998;52:93-100.
    • (1998) Am Stat. , vol.52 , pp. 93-100
    • Kass, R.E.1    Carlin, B.P.2    Gelman, A.3    Neal, R.M.4
  • 36
    • 0028484335 scopus 로고
    • Modeling chemical processes using prior knowledge and neural networks
    • Thompson ML, Kramer MA. Modeling chemical processes using prior knowledge and neural networks. Aiche J. 1994;40:1328-1340.
    • (1994) Aiche J. , vol.40 , pp. 1328-1340
    • Thompson, M.L.1    Kramer, M.A.2
  • 38
    • 0032628293 scopus 로고    scopus 로고
    • Evaluating machine learning models for engineering problems
    • Reich Y, Barai SV. Evaluating machine learning models for engineering problems. Artif Intell Eng. 1999; 13:257-272.
    • (1999) Artif Intell Eng. , vol.13 , pp. 257-272
    • Reich, Y.1    Barai, S.V.2
  • 39
    • 0036706987 scopus 로고    scopus 로고
    • Process modeling by Bayesian latent variable regression
    • Nounou MN, Bakshi BR, Goel PK, Shen XT. Process modeling by Bayesian latent variable regression. Aiche J. 2002;48:1775-1793.
    • (2002) Aiche J. , vol.48 , pp. 1775-1793
    • Nounou, M.N.1    Bakshi, B.R.2    Goel, P.K.3    Shen, X.T.4
  • 40
    • 0028580734 scopus 로고
    • Wavelength mutations and posttranslational autoxidation of green fluorescent protein
    • Heim R, Prasher DC, Tsien RY. Wavelength mutations and posttranslational autoxidation of green fluorescent protein. P Natl Acad Sci USA. 1994;91:12501-12504.
    • (1994) P Natl Acad Sci USA , vol.91 , pp. 12501-12504
    • Heim, R.1    Prasher, D.C.2    Tsien, R.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.