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Volumn 102, Issue 2, 2011, Pages 119-129

A new general glucose homeostatic model using a proportional-integral-derivative controller

Author keywords

Diabetes; Glucose; Insulin; Mathematical models; PID control; Structural identifiability

Indexed keywords

DIABETES; ENGINEERING CONTROL PROBLEMS; FEEDBACK MECHANISMS; GLUCOSE PRODUCTION; HOMEOSTATIC MECHANISM; HOMEOSTATIC MODEL; INSULIN ACTION; INSULIN SECRETION; INTEGRAL FUNCTION; INTRAVENOUS GLUCOSE TOLERANCE TEST; MODEL BASED APPROACH; MODEL SIMULATION; NEW APPROACHES; PARAMETER VALUES; PID CONTROL; PROPORTIONAL CONTROL; PROPORTIONAL INTEGRAL DERIVATIVE CONTROLLERS; PROPORTIONAL-INTEGRAL-DERIVATIVE TYPE CONTROLLERS; RESEARCH AREAS; STRUCTURAL IDENTIFIABILITY; THREE PHASIS; TRACER EXPERIMENT; TWO PARAMETER;

EID: 79955132161     PISSN: 01692607     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cmpb.2010.08.013     Document Type: Article
Times cited : (25)

References (34)
  • 2
    • 0034137637 scopus 로고    scopus 로고
    • Mathematical modelling of the intravenous glucose tolerance test
    • De Gaetano A., Arino O. Mathematical modelling of the intravenous glucose tolerance test. J. Math. Biol. 2000, 40(2):136-168.
    • (2000) J. Math. Biol. , vol.40 , Issue.2 , pp. 136-168
    • De Gaetano, A.1    Arino, O.2
  • 3
    • 0034699781 scopus 로고    scopus 로고
    • A model of beta-cell mass, insulin, and glucose kinetics: pathways to diabetes
    • Topp B., Promislow K., deVries G., Miura R., Finegood D. A model of beta-cell mass, insulin, and glucose kinetics: pathways to diabetes. J. Theor. Biol. 2000, 206(4):605-619.
    • (2000) J. Theor. Biol. , vol.206 , Issue.4 , pp. 605-619
    • Topp, B.1    Promislow, K.2    deVries, G.3    Miura, R.4    Finegood, D.5
  • 4
    • 34648860603 scopus 로고    scopus 로고
    • An integrated model for glucose and insulin regulation in healthy volunteers and type 2 diabetic patients following intravenous glucose provocations
    • Silber H.E., Jauslin P.M., Frey N., Gieschke R., Simonsson U.S., Karlsson M.O. An integrated model for glucose and insulin regulation in healthy volunteers and type 2 diabetic patients following intravenous glucose provocations. J. Clin. Pharmacol. 2007, 47(9):1159-1171.
    • (2007) J. Clin. Pharmacol. , vol.47 , Issue.9 , pp. 1159-1171
    • Silber, H.E.1    Jauslin, P.M.2    Frey, N.3    Gieschke, R.4    Simonsson, U.S.5    Karlsson, M.O.6
  • 6
    • 0001261498 scopus 로고
    • Coefficients of normal blood glucose regulation
    • Bolie V.W. Coefficients of normal blood glucose regulation. J. Appl. Physiol. 1961, 16(5):783-788.
    • (1961) J. Appl. Physiol. , vol.16 , Issue.5 , pp. 783-788
    • Bolie, V.W.1
  • 7
    • 0026512081 scopus 로고
    • The zucker rat model of obesity, insulin resistance, hyperlipidemia, and renal injury
    • Kasiske B., O'Donnell M., Keane W. The zucker rat model of obesity, insulin resistance, hyperlipidemia, and renal injury. Hypertension 1992, 19(1 Suppl.):I110-I115.
    • (1992) Hypertension , vol.19 , Issue.1 SUPPL.
    • Kasiske, B.1    O'Donnell, M.2    Keane, W.3
  • 8
    • 0027589364 scopus 로고
    • Control design for an industrial distillation column
    • Vester M., Van der Linden R., Pangels J. Control design for an industrial distillation column. Comput. Chem. Eng. 1993, 17(5-6):609-615.
    • (1993) Comput. Chem. Eng. , vol.17 , Issue.5-6 , pp. 609-615
    • Vester, M.1    Van der Linden, R.2    Pangels, J.3
  • 10
    • 1642452596 scopus 로고    scopus 로고
    • Closed-loop insulin delivery-the path to physiological glucose control
    • Steil G.M., Panteleon A.E., Rebrin K. Closed-loop insulin delivery-the path to physiological glucose control. Adv. Drug Deliv. Rev. 2004, 56:125-144.
    • (2004) Adv. Drug Deliv. Rev. , vol.56 , pp. 125-144
    • Steil, G.M.1    Panteleon, A.E.2    Rebrin, K.3
  • 11
    • 14844350443 scopus 로고    scopus 로고
    • Modeling insulin action for development of a closed-loop artificial pancreas
    • Steil G.M., Clark B., Kanderian S., Rebrin K. Modeling insulin action for development of a closed-loop artificial pancreas. Diabetes Technol. Ther. 2005, 7:94-108.
    • (2005) Diabetes Technol. Ther. , vol.7 , pp. 94-108
    • Steil, G.M.1    Clark, B.2    Kanderian, S.3    Rebrin, K.4
  • 12
    • 3242656211 scopus 로고    scopus 로고
    • Derivative weighted active insulin control modelling and clinical trials for ICU patients
    • Doran C.V., Hudson N.H., Moorhead K.T., Chase J.G., Shaw G.M., Hann C.E. Derivative weighted active insulin control modelling and clinical trials for ICU patients. Med. Eng. Phys. 2005, 26:94-108.
    • (2005) Med. Eng. Phys. , vol.26 , pp. 94-108
    • Doran, C.V.1    Hudson, N.H.2    Moorhead, K.T.3    Chase, J.G.4    Shaw, G.M.5    Hann, C.E.6
  • 15
    • 33845510495 scopus 로고    scopus 로고
    • Metabolic modelling and the closed-loop insulin delivery problem
    • Steil G., Rebrin K., Mastrototaro J.J. Metabolic modelling and the closed-loop insulin delivery problem. Diabetes Res. Clin. Pract. 2006, 74(Suppl. 2):S183-S186.
    • (2006) Diabetes Res. Clin. Pract. , vol.74 , Issue.SUPPL. 2
    • Steil, G.1    Rebrin, K.2    Mastrototaro, J.J.3
  • 16
    • 0035857151 scopus 로고    scopus 로고
    • Diabetes, insulin secretion, and the pancreatic beta-cell mitochondrion
    • Langin D. Diabetes, insulin secretion, and the pancreatic beta-cell mitochondrion. N. Engl. J. Med. 2001, 345(24):1772-1774.
    • (2001) N. Engl. J. Med. , vol.345 , Issue.24 , pp. 1772-1774
    • Langin, D.1
  • 20
    • 0030068333 scopus 로고    scopus 로고
    • The effect of insulin dose on the measurement of insulin sensitivity by the minimal model technique. Evidence for saturable insulin transport in humans
    • Prigeon R.L., Roder M.E., Porte D., Kahn S.E. The effect of insulin dose on the measurement of insulin sensitivity by the minimal model technique. Evidence for saturable insulin transport in humans. J. Clin. Invest. 1996, 97:501-507.
    • (1996) J. Clin. Invest. , vol.97 , pp. 501-507
    • Prigeon, R.L.1    Roder, M.E.2    Porte, D.3    Kahn, S.E.4
  • 21
    • 0020730260 scopus 로고
    • Glucose production measured by tracer and balance data in conscious miniature pig
    • Muller M., Paschen U., Seitz H. Glucose production measured by tracer and balance data in conscious miniature pig. Am. J. Physiol. Endocrinol. Metab. 1983, 244(3):E236-E244.
    • (1983) Am. J. Physiol. Endocrinol. Metab. , vol.244 , Issue.3
    • Muller, M.1    Paschen, U.2    Seitz, H.3
  • 23
    • 0025644712 scopus 로고
    • Global identifiability of the parameters of nonlinear systems with specified inputs: a comparison of methods
    • Chappell M.J., Godfrey K., Vajda S. Global identifiability of the parameters of nonlinear systems with specified inputs: a comparison of methods. Math. Biosci. 1990, 102(1):41-73.
    • (1990) Math. Biosci. , vol.102 , Issue.1 , pp. 41-73
    • Chappell, M.J.1    Godfrey, K.2    Vajda, S.3
  • 24
    • 70349882088 scopus 로고    scopus 로고
    • Structural identifiability analysis via symmetries of differential equations
    • doi:10.1016/j.automatica.2009.07.009
    • Yates J.W., Evans N.D., Chappell M.J. Structural identifiability analysis via symmetries of differential equations. Automatica 2009, 45(11):2585-2591. doi:10.1016/j.automatica.2009.07.009.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2585-2591
    • Yates, J.W.1    Evans, N.D.2    Chappell, M.J.3
  • 25
    • 79955141661 scopus 로고    scopus 로고
    • Wolfram, Mathematica
    • Wolfram, Mathematica (2009). http://www.wolfram.com/.
    • (2009)
  • 26
    • 0022797049 scopus 로고
    • Minmod: a computer program to calculate insulin sensitivity and pancreatic responsivity from the frequently sampled intravenous glucose tolerance test
    • Pacini G., Bergman R. Minmod: a computer program to calculate insulin sensitivity and pancreatic responsivity from the frequently sampled intravenous glucose tolerance test. Comput. Methods Programs Biomed. 1986, 23(2):113-122.
    • (1986) Comput. Methods Programs Biomed. , vol.23 , Issue.2 , pp. 113-122
    • Pacini, G.1    Bergman, R.2
  • 27
    • 79955146733 scopus 로고    scopus 로고
    • AEgis, acslx
    • AEgis, acslx (2008). http://www.acslx.com/.
    • (2008)
  • 28
    • 85056052852 scopus 로고    scopus 로고
    • DISTq: an iterative analysis of glucose data for low-cost, real-time and accurate estimation of insulin sensitivity
    • Docherty P., Chase J., Lotz T., Hann C., Shaw G., Berkeley J., Mann J., McAuley K. DISTq: an iterative analysis of glucose data for low-cost, real-time and accurate estimation of insulin sensitivity. Open Med. Inform. J. 2009, 3:65-76.
    • (2009) Open Med. Inform. J. , vol.3 , pp. 65-76
    • Docherty, P.1    Chase, J.2    Lotz, T.3    Hann, C.4    Shaw, G.5    Berkeley, J.6    Mann, J.7    McAuley, K.8
  • 30
    • 0031539250 scopus 로고    scopus 로고
    • A circulatory model for the estimation of insulin sensitivity
    • Mari A., Valerio A. A circulatory model for the estimation of insulin sensitivity. Control Eng. Pract. 1997, 5:1747-1752.
    • (1997) Control Eng. Pract. , vol.5 , pp. 1747-1752
    • Mari, A.1    Valerio, A.2
  • 31
    • 0034088142 scopus 로고    scopus 로고
    • Accurate measurement of endogenous insulin secretion does not require separate assessment of c-peptide kinetics
    • Watanabe R., Bergman R. Accurate measurement of endogenous insulin secretion does not require separate assessment of c-peptide kinetics. Diabetes 2000, 49(3):373-382.
    • (2000) Diabetes , vol.49 , Issue.3 , pp. 373-382
    • Watanabe, R.1    Bergman, R.2
  • 32
    • 0019013375 scopus 로고
    • Comparison of storage- and signal-limited models of pancreatic insulin secretion
    • O'Connor M., Landahl H., Grodsky G. Comparison of storage- and signal-limited models of pancreatic insulin secretion. Am. J. Physiol. 1980, 238(5):R378-R389.
    • (1980) Am. J. Physiol. , vol.238 , Issue.5
    • O'Connor, M.1    Landahl, H.2    Grodsky, G.3
  • 33
    • 0035656734 scopus 로고    scopus 로고
    • A pilot study of the continuous glucose monitoring system: clinical decisions and glycemic control after its use in pediatric type 1 diabetic subjects
    • Kaufman F.R., Gibson L.C., Halvorson M., Carpenter S., Fisher L.K., Pitukcheewanont P. A pilot study of the continuous glucose monitoring system: clinical decisions and glycemic control after its use in pediatric type 1 diabetic subjects. Diabetes Care 2001, 24(12):2030-2034.
    • (2001) Diabetes Care , vol.24 , Issue.12 , pp. 2030-2034
    • Kaufman, F.R.1    Gibson, L.C.2    Halvorson, M.3    Carpenter, S.4    Fisher, L.K.5    Pitukcheewanont, P.6
  • 34
    • 33645000471 scopus 로고    scopus 로고
    • A PI-fuzzy logic controller for the regulation of blood glucose level in diabetic patients
    • Ibbini M. A PI-fuzzy logic controller for the regulation of blood glucose level in diabetic patients. J. Med. Eng. Technol. 2006, 30:83-92.
    • (2006) J. Med. Eng. Technol. , vol.30 , pp. 83-92
    • Ibbini, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.