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Volumn 166, Issue , 2005, Pages 281-294

Mathematical models and state observation of the glucose-insulin homeostasis

Author keywords

Drift observability; Homeostasis; Nonlinear systems; State observer

Indexed keywords

ARTIFICIAL ORGANS; BLOOD; GLUCOSE; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PHYSIOLOGY; STATE ESTIMATION;

EID: 78650183075     PISSN: 18684238     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (12)

References (16)
  • 1
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    • Assessment of insulin sensitivity in vivo
    • R. N. Bergman, D. T. Finegood, and M. Ader. Assessment of insulin sensitivity in vivo. Endocrine Rev., 6: 45-86, 1985.
    • (1985) Endocrine Rev , vol.6 , pp. 45-86
    • Bergman, R.N.1    Finegood, D.T.2    Ader, M.3
  • 3
    • 0019810028 scopus 로고
    • Physiological evaluation of factors controlling glucose tolerance in man: Measurement of insulin sensitivity and Pcell glucose sensitivity from the response to intravenous glucose
    • R. N. Bergman, L. S. Phillips, and C. Cobelli. Physiological evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and Pcell glucose sensitivity from the response to intravenous glucose. Journal Clin. Invest., 68: 1456-1467, 1981.
    • (1981) Journal Clin. Invest , vol.68 , pp. 1456-1467
    • Bergman, R.N.1    Phillips, L.S.2    Cobelli, C.3
  • 4
    • 0028332617 scopus 로고
    • An adaptive plasma glucose controller based on a nonlinear insulin/glucose model
    • B. Candas and J. Radziuk. An adaptive plasma glucose controller based on a nonlinear insulin/glucose model, IEEE Transactions on Biomedical Engineering, 41, 1994.
    • (1994) IEEE Transactions on Biomedical Engineering , pp. 41
    • Candas, B.1    Radziuk, J.2
  • 5
    • 0021675449 scopus 로고
    • A semi-closed loop computer-assisted insulin infusion system
    • D. J. Chisolm, E. W. Kraegen, D. J. Bell, and D. R. Chipps. A semi-closed loop computer-assisted insulin infusion system. Med. Journal Aust., 141: 784-789, 1984.
    • (1984) Med. Journal Aust , vol.141 , pp. 784-789
    • Chisolm, D.J.1    Kraegen, E.W.2    Bell, D.J.3    Chipps, D.R.4
  • 7
    • 0034137637 scopus 로고    scopus 로고
    • Mathematical modelling of the intravenous glucose tolerance test
    • A. De Gaetano and O. Arino. Mathematical modelling of the intravenous glucose tolerance test. Journal of Mathematical Biology, 40: 136-168, 2000.
    • (2000) Journal of Mathematical Biology , vol.40 , pp. 136-168
    • Gaetano, A.D.1    Arino, O.2
  • 8
    • 0018520840 scopus 로고
    • Glucose clamp technique: A method for quantifying insulin secretion and resistance
    • R. A. Defronzo, J. D. Tobin, and R. Andreas. Glucose clamp technique: a method for quantifying insulin secretion and resistance. Am. Journal of Physiology, 237: E214-E223, 1979.
    • (1979) Am. Journal of Physiology , vol.237
    • Defronzo, R.A.1    Tobin, J.D.2    Andreas, R.3
  • 9
    • 34250904288 scopus 로고
    • Optimal insulin infusion resulting from a mathematical model of blood glucose dynamics
    • M. E. Fisher and Kok Lay Teo. Optimal insulin infusion resulting from a mathematical model of blood glucose dynamics. IEEE Transactions on Biomedical Engineering, 36: 479-485, 1989.
    • (1989) IEEE Transactions on Biomedical Engineering , vol.36 , pp. 479-485
    • Fisher, M.E.1    Teo, K.L.2
  • 10
    • 0025980709 scopus 로고
    • A semiclosed-loop for the control of blood glucose levels in diabetics
    • M. E. Fisher. A semiclosed-loop for the control of blood glucose levels in diabetics. IEEE Transactions on Biomedical Engineering, 38: 57-61, 1991.
    • (1991) IEEE Transactions on Biomedical Engineering , vol.38 , pp. 57-61
    • Fisher, M.E.1
  • 11
    • 0022370758 scopus 로고
    • Blood glucose control by intermittent loop closure in the basal mode: Computer simulation studies with a diabetic model
    • S. M. Furler, E. W. Kraegen, R. H. Smallwood, and D. J. Chisolm. Blood glucose control by intermittent loop closure in the basal mode: computer simulation studies with a diabetic model. Diabetes Care, 8: 553-561, 1985.
    • (1985) Diabetes Care , vol.8 , pp. 553-561
    • Furler, S.M.1    Kraegen, E.W.2    Smallwood, R.H.3    Chisolm, D.J.4
  • 13
    • 0031348116 scopus 로고    scopus 로고
    • State observers for nonlinear systems with slowly varying inputs
    • S. Diego, Ca
    • A. Germani and C. Manes. State observers for nonlinear systems with slowly varying inputs. 36th IEEE Conf. on Decision and Control (CDC197), S. Diego, Ca., 5: 5054-5059, 1997.
    • (1997) 36th IEEE Conf. on Decision and Control (CDC197) , vol.5 , pp. 5054-5059
    • Germani, A.1    Manes, C.2
  • 14
    • 0035648513 scopus 로고    scopus 로고
    • An asymptotic state observer for a class of nonlinear delay systems
    • A. Germani, C. Manes, and P. Pepe. An asymptotic state observer for a class of nonlinear delay systems. Kybernetyka, 37: 459-478, 2001.
    • (2001) Kybernetyka , vol.37 , pp. 459-478
    • Germani, A.1    Manes, C.2    Pepe, P.3
  • 16
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    • Quantitative estimation of beta cell sensitivity to glucose in the intact organism: A minimal model of insulin kinetics in the dog
    • G. Toffolo, R. N. Bergman, D. T. Finegood, C. R. Bowden, and C. Cobelli. Quantitative estimation of beta cell sensitivity to glucose in the intact organism: a minimal model of insulin kinetics in the dog. Diabetes, 29: 979-990, 1980.
    • (1980) Diabetes , vol.29 , pp. 979-990
    • Toffolo, G.1    Bergman, R.N.2    Finegood, D.T.3    Bowden, C.R.4    Cobelli, C.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.