메뉴 건너뛰기




Volumn 103, Issue 1, 2011, Pages 67-72

The Unscented Kalman Filter estimates the plasma insulin from glucose measurement

Author keywords

Glucose and insulin homeostasis; Observability; State estimation; Unscented Kalman Filter

Indexed keywords

GLUCOSE; INSULIN;

EID: 78650212672     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2010.09.012     Document Type: Article
Times cited : (58)

References (34)
  • 1
    • 23244434826 scopus 로고    scopus 로고
    • Population-based Bayesian approach to the minimal model of glucose and insulin homeostasis
    • Andersen K.E., Højbjerre M.A. Population-based Bayesian approach to the minimal model of glucose and insulin homeostasis. Stat. Med. 2005, 24:2381-2400.
    • (2005) Stat. Med. , vol.24 , pp. 2381-2400
    • Andersen, K.E.1    Højbjerre, M.A.2
  • 3
    • 0019810028 scopus 로고
    • Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose
    • Bergman R.N., Phillips L.S., Cobelli C. Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. J. Clin. Invest. 1981, 68(6):1456-1467.
    • (1981) J. Clin. Invest. , vol.68 , Issue.6 , pp. 1456-1467
    • Bergman, R.N.1    Phillips, L.S.2    Cobelli, C.3
  • 4
    • 31544436629 scopus 로고    scopus 로고
    • Minimal model: perspective from 2005
    • Bergman R.N. Minimal model: perspective from 2005. Horm. Res. 2005, 64(Suppl. 3):8-15.
    • (2005) Horm. Res. , vol.64 , Issue.SUPPL. 3 , pp. 8-15
    • Bergman, R.N.1
  • 5
    • 34547138896 scopus 로고    scopus 로고
    • Insulin granule trafficking in beta-cells: mathematical model of glucose-induced insulin secretion
    • Bertuzzi A., Salinari S., Mingrone G. Insulin granule trafficking in beta-cells: mathematical model of glucose-induced insulin secretion. Am. J. Physiol. Endocrinol. Metab. 2007, 293(1):E396-E409.
    • (2007) Am. J. Physiol. Endocrinol. Metab. , vol.293 , Issue.1
    • Bertuzzi, A.1    Salinari, S.2    Mingrone, G.3
  • 6
    • 0035149713 scopus 로고    scopus 로고
    • Oral glucose tolerance test minimal model indexes of beta-cell function and insulin sensitivity
    • Breda E., Cavaghan M.K., Toffolo G., Polonsky K.S., Cobelli C. Oral glucose tolerance test minimal model indexes of beta-cell function and insulin sensitivity. Diabetes 2001, 50(1):150-158.
    • (2001) Diabetes , vol.50 , Issue.1 , pp. 150-158
    • Breda, E.1    Cavaghan, M.K.2    Toffolo, G.3    Polonsky, K.S.4    Cobelli, C.5
  • 7
    • 0026245856 scopus 로고
    • A reduced sampling schedule for estimating the parameters of the glucose minimal model from a labeled IVGTT
    • Cobelli C., Ruggeri A. A reduced sampling schedule for estimating the parameters of the glucose minimal model from a labeled IVGTT. IEEE Trans. Biomed. Eng. 1991, 38(10):1023-1029.
    • (1991) IEEE Trans. Biomed. Eng. , vol.38 , Issue.10 , pp. 1023-1029
    • Cobelli, C.1    Ruggeri, A.2
  • 10
    • 0036110469 scopus 로고    scopus 로고
    • The oral glucose minimal model: estimation of insulin sensitivity from a meal test
    • Dalla Man C., Caumo A., Cobelli C. The oral glucose minimal model: estimation of insulin sensitivity from a meal test. IEEE Trans. Biomed. Eng. 2002, 49(5):419-429.
    • (2002) IEEE Trans. Biomed. Eng. , vol.49 , Issue.5 , pp. 419-429
    • Dalla Man, C.1    Caumo, A.2    Cobelli, C.3
  • 11
    • 78650183075 scopus 로고    scopus 로고
    • Mathematical models and state observation of the glucose-insulin homeostasis
    • In: IFIP International Federation for Information Processing Book Series
    • Gaetano, A.D., 2005. Mathematical models and state observation of the glucose-insulin homeostasis. In: IFIP International Federation for Information Processing Book Series, vol. 166, pp. 281-294.
    • (2005) , vol.166 , pp. 281-294
    • Gaetano, A.D.1
  • 12
  • 13
    • 85194551279 scopus 로고    scopus 로고
    • International Diabetes Federation (IDF), Website: (accessed 31.08.10)
    • International Diabetes Federation (IDF), 2010. Website: (accessed 31.08.10). http://www.idf.org.
    • (2010)
  • 15
    • 0036058369 scopus 로고    scopus 로고
    • Reduced sigma point filters for the propagation of means and covariances through nonlinear transformations
    • Julier S.J., Uhlmann J.K. Reduced sigma point filters for the propagation of means and covariances through nonlinear transformations. Proc. of the American Control Conference 2002, 887-892.
    • (2002) Proc. of the American Control Conference , pp. 887-892
    • Julier, S.J.1    Uhlmann, J.K.2
  • 17
    • 14844348734 scopus 로고    scopus 로고
    • The extended Kalman filter for continuous glucose monitoring
    • Knobbe E.J., Buckingham B. The extended Kalman filter for continuous glucose monitoring. Diabetes Technol. Ther. 2005, 7(1):15-27.
    • (2005) Diabetes Technol. Ther. , vol.7 , Issue.1 , pp. 15-27
    • Knobbe, E.J.1    Buckingham, B.2
  • 19
    • 0026521199 scopus 로고
    • A physiological model of glucose-insulin interaction+ in type 1 diabetes mellitus
    • Lehmann E.D., Deutsch T. A physiological model of glucose-insulin interaction+ in type 1 diabetes mellitus. J. Biomed. Eng. 1992, 14(3):235-242.
    • (1992) J. Biomed. Eng. , vol.14 , Issue.3 , pp. 235-242
    • Lehmann, E.D.1    Deutsch, T.2
  • 21
    • 0036311151 scopus 로고    scopus 로고
    • Assessing insulin secretion by modeling in multiple-meal tests: role of potentiation
    • Mari A., Tura A., Gastaldelli A., Ferrannini E. Assessing insulin secretion by modeling in multiple-meal tests: role of potentiation. Diabetes 2002, 51(Suppl. 1):221-226.
    • (2002) Diabetes , vol.51 , Issue.SUPPL. 1 , pp. 221-226
    • Mari, A.1    Tura, A.2    Gastaldelli, A.3    Ferrannini, E.4
  • 23
    • 27744529777 scopus 로고    scopus 로고
    • Insights to the minimal model of insulin secretion through a mean-field beta cell model
    • Overgaard R.V., Henriksen J.E., Madsen H. Insights to the minimal model of insulin secretion through a mean-field beta cell model. J. Theor. Biol. 2005, 237(4):382-389.
    • (2005) J. Theor. Biol. , vol.237 , Issue.4 , pp. 382-389
    • Overgaard, R.V.1    Henriksen, J.E.2    Madsen, H.3
  • 24
    • 0022797049 scopus 로고
    • MINMOD: a computer program to calculate insulin sensitivity and pancreatic responsively from the frequently sampled intravenous glucose tolerance test
    • Pacini G., Bergman R.N. MINMOD: a computer program to calculate insulin sensitivity and pancreatic responsively from the frequently sampled intravenous glucose tolerance test. Comput. Meth. Programs Biomed. 1986, 23(2):113-122.
    • (1986) Comput. Meth. Programs Biomed. , vol.23 , Issue.2 , pp. 113-122
    • Pacini, G.1    Bergman, R.N.2
  • 26
    • 36549012683 scopus 로고    scopus 로고
    • Estimating parameters and hidden variables in non-linear state-space models based on ODEs for biological networks inference
    • Quach M., Brunel N., d'Alché-Buc F. Estimating parameters and hidden variables in non-linear state-space models based on ODEs for biological networks inference. Bioninformatics 2007, 23(23):3209-3216.
    • (2007) Bioninformatics , vol.23 , Issue.23 , pp. 3209-3216
    • Quach, M.1    Brunel, N.2    d'Alché-Buc, F.3
  • 27
    • 33845342899 scopus 로고    scopus 로고
    • Dynamic modeling of free fatty acid, glucose, and insulin: an extended " minimal model"
    • Erratum in: Diabetes Technol. Ther. 9 (1), 133.
    • Roy A., Parker R.S. Dynamic modeling of free fatty acid, glucose, and insulin: an extended " minimal model" Diabetes Technol. Ther. 2006, 8(6):617-626. Erratum in: Diabetes Technol. Ther. 9 (1), 133.
    • (2006) Diabetes Technol. Ther. , vol.8 , Issue.6 , pp. 617-626
    • Roy, A.1    Parker, R.S.2
  • 28
    • 21244437999 scopus 로고    scopus 로고
    • Unscented filtering and nonlinear estimation
    • Simon J.J., Uhlmann J.K. Unscented filtering and nonlinear estimation. Proc. IEEE 2004, 92(3):401-422.
    • (2004) Proc. IEEE , vol.92 , Issue.3 , pp. 401-422
    • Simon, J.J.1    Uhlmann, J.K.2
  • 30
    • 37849044918 scopus 로고    scopus 로고
    • Model-based assessment of insulin sensitivity of glucose disposal and endogenous glucose production from double-tracer oral glucose tolerance test
    • Thomaseth K., Pavan A., Berria R., Glass L., Defronzo R., Gastaldelli A. Model-based assessment of insulin sensitivity of glucose disposal and endogenous glucose production from double-tracer oral glucose tolerance test. Comput. Meth. Programs Biomed. 2008, 89(2):132-140.
    • (2008) Comput. Meth. Programs Biomed. , vol.89 , Issue.2 , pp. 132-140
    • Thomaseth, K.1    Pavan, A.2    Berria, R.3    Glass, L.4    Defronzo, R.5    Gastaldelli, A.6
  • 33
    • 85194529400 scopus 로고    scopus 로고
    • van Riel, N., 2004. Minimal Models for Glucose and Insulin Kinetics - A Matlab Implementation. Website: (accessed 31.08.10)
    • van Riel, N., 2004. Minimal Models for Glucose and Insulin Kinetics - A Matlab Implementation. Website: (accessed 31.08.10). http://www.miba.auc.dk/~05gr694/Artikler/riel_minimalmodel_matlab.pdf.
    • (2004)
  • 34
    • 85194580592 scopus 로고    scopus 로고
    • Wikipedia article automatic differentiation Website: (accessed 31.08.10)
    • Wikipedia article " automatic differentiation" Website: (accessed 31.08.10). http://en.wikipedia.org.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.