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Volumn 56, Issue 3-4 SPEC. ISS., 2006, Pages 559-573

Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: An overview

Author keywords

Diabetes; Glucose insulin; Mathematical models; Overview; Software tools

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER AIDED SOFTWARE ENGINEERING; GLUCOSE; INSULIN; INTEGRODIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33644622897     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.04.023     Document Type: Article
Times cited : (291)

References (70)
  • 1
    • 33644622026 scopus 로고    scopus 로고
    • Bayesian model discrimination for inverse problems
    • Dept. of Mathematics, Aalborg University, Denmark
    • K.E. Andersen, S.P. Brooks, M. Højbjerre, Bayesian model discrimination for inverse problems, Technical Report R-2003-06, Dept. of Mathematics, Aalborg University, Denmark
    • Technical Report , vol.R-2003-06
    • Andersen, K.E.1    Brooks, S.P.2    Højbjerre, M.3
  • 2
    • 33644618220 scopus 로고    scopus 로고
    • Bayesian model discrimination for glucose-insulin homeostasis
    • Aalborg University, Denmark
    • K.E. Andersen, S.P. Brooks, M. Højbjerre, Bayesian model discrimination for glucose-insulin homeostasis, Technical Report R-2004-15, Aalborg University, Denmark
    • Technical Report , vol.R-2004-15
    • Andersen, K.E.1    Brooks, S.P.2    Højbjerre, M.3
  • 5
    • 0031940813 scopus 로고    scopus 로고
    • SAAM II: Simulation, analysis, and modeling software for tracer and pharmacokinetic studies
    • P.H. Barrett, B.M. Bell, C. Cobelli, H. Golde, A. Schumitzky, P. Vicini, and D.M. Foster SAAM II: Simulation, analysis, and modeling software for tracer and pharmacokinetic studies Metabolism 47 4 1998 484 492
    • (1998) Metabolism , vol.47 , Issue.4 , pp. 484-492
    • Barrett, P.H.1    Bell, B.M.2    Cobelli, C.3    Golde, H.4    Schumitzky, A.5    Vicini, P.6    Foster, D.M.7
  • 6
    • 0035156628 scopus 로고    scopus 로고
    • The subcutaneous route to insulin dependent diabetes therapy
    • R. Bellazzi, G. Nucci, and C. Cobelli The subcutaneous route to insulin dependent diabetes therapy IEEE Engrg. Medicine Biol. 20 1 2001 54 64
    • (2001) IEEE Engrg. Medicine Biol. , vol.20 , Issue.1 , pp. 54-64
    • Bellazzi, R.1    Nucci, G.2    Cobelli, C.3
  • 7
    • 1242287590 scopus 로고    scopus 로고
    • Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin
    • D.L. Bennett, and S.A. Gourley Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin Appl. Math. Comput. 151 2004 189 207
    • (2004) Appl. Math. Comput. , vol.151 , pp. 189-207
    • Bennett, D.L.1    Gourley, S.A.2
  • 9
    • 0024443126 scopus 로고
    • Computer simulation of plasma insulin and glucose dynamics after subcutaneous insulin injection
    • M. Berger, and D. Rodbard Computer simulation of plasma insulin and glucose dynamics after subcutaneous insulin injection Diabetes Care 12 1989 725 736
    • (1989) Diabetes Care , vol.12 , pp. 725-736
    • Berger, M.1    Rodbard, D.2
  • 11
    • 0005082436 scopus 로고    scopus 로고
    • The minimal model of glucose regulation: A biography
    • J. Novotny M. Green R. Boston Kluwer Academic/Plenum
    • R.N. Bergman The minimal model of glucose regulation: a biography J. Novotny M. Green R. Boston Mathematical Modeling in Nutrition and Health 2001 Kluwer Academic/Plenum
    • (2001) Mathematical Modeling in Nutrition and Health
    • Bergman, R.N.1
  • 12
    • 0036772294 scopus 로고    scopus 로고
    • Pathogenesis and prediction of diabetes mellitus: Lessons from integrative physiology
    • Irving L. Schwartz Lecture
    • R.N. Bergman Pathogenesis and prediction of diabetes mellitus: Lessons from integrative physiology Irving L. Schwartz Lecture Mount Sinai J. Medicine 60 2002 280 290
    • (2002) Mount Sinai J. Medicine , vol.60 , pp. 280-290
    • Bergman, R.N.1
  • 13
    • 0036615275 scopus 로고    scopus 로고
    • The evolution of beta-cell dysfunction and insulin resistance in type 2 diabetes
    • R.N. Bergman, D.T. Finegood, and S.E. Kahn The evolution of beta-cell dysfunction and insulin resistance in type 2 diabetes Eur. J. Clin. Invest. 32 Suppl. 3 2002 35 45
    • (2002) Eur. J. Clin. Invest. , vol.32 , Issue.3 , pp. 35-45
    • Bergman, R.N.1    Finegood, D.T.2    Kahn, S.E.3
  • 14
    • 0018907091 scopus 로고
    • Minimal modelling, partition analysis and the estimation of insulin sensitivity
    • R.N. Bergman, and C. Cobelli Minimal modelling, partition analysis and the estimation of insulin sensitivity Federation Proc. 39 1980 110 115
    • (1980) Federation Proc. , vol.39 , pp. 110-115
    • Bergman, R.N.1    Cobelli, C.2
  • 15
    • 0018487598 scopus 로고
    • Quantitative estimation of insulin sensitivity
    • Endocrinol. Metab. Gastrointest. Physiol. 5 1979 E667 E677
    • R.N. Bergman, Y.Z. Ider, C.R. Bowden, and C. Cobelli Quantitative estimation of insulin sensitivity Amer. J. Physiol. 236 1979 E667 E677 or Endocrinol. Metab. Gastrointest. Physiol. 5 1979 E667 E677
    • (1979) Amer. J. Physiol. , vol.236
    • Bergman, R.N.1    Ider, Y.Z.2    Bowden, C.R.3    Cobelli, C.4
  • 16
    • 0031920740 scopus 로고    scopus 로고
    • Glucose diffusion in pancreatic islets of Langerhans
    • R. Bertram, and M. Pernarowski Glucose diffusion in pancreatic islets of Langerhans Biophys. J. 74 1998 1722 1731
    • (1998) Biophys. J. , vol.74 , pp. 1722-1731
    • Bertram, R.1    Pernarowski, M.2
  • 17
    • 10044256230 scopus 로고    scopus 로고
    • Calcium and glycolysis mediate multiple bursting modes in pancreatic islets
    • R. Bertram, L. Satin, M. Zhang, P. Smolen, and A. Sherman Calcium and glycolysis mediate multiple bursting modes in pancreatic islets Biophys. J. 87 2004 3074 3087
    • (2004) Biophys. J. , vol.87 , pp. 3074-3087
    • Bertram, R.1    Satin, L.2    Zhang, M.3    Smolen, P.4    Sherman, A.5
  • 18
    • 0032078667 scopus 로고    scopus 로고
    • Mixed graphical models for simultaneous model identification and control applied to the glucose-insulin metabolism
    • G. Bleckert, U.G. Oppel, and E. Salzsieder Mixed graphical models for simultaneous model identification and control applied to the glucose-insulin metabolism Comput. Methods Programs Biomedicine 56 1998 141 155
    • (1998) Comput. Methods Programs Biomedicine , vol.56 , pp. 141-155
    • Bleckert, G.1    Oppel, U.G.2    Salzsieder, E.3
  • 19
    • 0001261498 scopus 로고
    • Coefficients of normal blood glucose regulation
    • V.W. Bolie Coefficients of normal blood glucose regulation J. Appl. Physiol. 16 1961 783 788
    • (1961) J. Appl. Physiol. , vol.16 , pp. 783-788
    • Bolie, V.W.1
  • 20
    • 0037176768 scopus 로고    scopus 로고
    • Age structured models for diabetes in East Morocco
    • A. Boutayeb, and M. Derouich Age structured models for diabetes in East Morocco Math. Comput. Simul. 58 2002 215 229
    • (2002) Math. Comput. Simul. , vol.58 , pp. 215-229
    • Boutayeb, A.1    Derouich, M.2
  • 21
    • 1642601841 scopus 로고    scopus 로고
    • An age structured model for complications of diabetes mellitus in Morocco
    • A. Boutayeb, and E.H. Twizell An age structured model for complications of diabetes mellitus in Morocco Simulations Modelling Practice Theory 12 2004 77 87
    • (2004) Simulations Modelling Practice Theory , vol.12 , pp. 77-87
    • Boutayeb, A.1    Twizell, E.H.2
  • 22
    • 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 Trans. Biomed. Engrg. 41 1994 116 124
    • (1994) IEEE Trans. Biomed. Engrg. , vol.41 , pp. 116-124
    • Candas, B.1    Radziuk, J.2
  • 23
    • 0027252060 scopus 로고
    • Hepatic glucose production during labeled IVGTT: Estimation by deconvolution with a new minimal model
    • A. Caumo, and C. Cobelli Hepatic glucose production during labeled IVGTT: Estimation by deconvolution with a new minimal model Amer. J. Physiol. Endocrinol. Metab. 264 5 1993 E829 E841
    • (1993) Amer. J. Physiol. Endocrinol. Metab. , vol.264 , Issue.5
    • Caumo, A.1    Cobelli, C.2
  • 24
    • 0029056128 scopus 로고
    • Insulin deficiency and insulin resistance in the pathogenesis of NIDDM: Is a divorce possible?
    • E. Cerasi Insulin deficiency and insulin resistance in the pathogenesis of NIDDM: Is a divorce possible? Diabetologia 38 1995 992 997
    • (1995) Diabetologia , vol.38 , pp. 992-997
    • Cerasi, E.1
  • 25
    • 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 J. Math. Biol. 40 2000 136 168
    • (2000) J. Math. Biol. , vol.40 , pp. 136-168
    • De Gaetano, A.1    Arino, O.2
  • 26
    • 0034143345 scopus 로고    scopus 로고
    • A statistical approach to the determination of stability for dynamical systems modelling physiological processes
    • A. De Gaetano, and O. Arino A statistical approach to the determination of stability for dynamical systems modelling physiological processes Math. Comput. Modelling 31 2000 41 51
    • (2000) Math. Comput. Modelling , vol.31 , pp. 41-51
    • De Gaetano, A.1    Arino, O.2
  • 27
    • 0031130574 scopus 로고    scopus 로고
    • Nonparametric input estimation in physiological systems: Problems, methods, and case studies
    • G. De Nicolao, G. Sparacino, and C. Cobelli Nonparametric input estimation in physiological systems: Problems, methods, and case studies Automatica 33 5 1997 851 870
    • (1997) Automatica , vol.33 , Issue.5 , pp. 851-870
    • De Nicolao, G.1    Sparacino, G.2    Cobelli, C.3
  • 28
    • 0036270310 scopus 로고    scopus 로고
    • The effect of physical exercise on the dynamics of glucose and insulin
    • M. Derouich, and A. Boutayeb The effect of physical exercise on the dynamics of glucose and insulin J. Biomech. 35 2002 911 917
    • (2002) J. Biomech. , vol.35 , pp. 911-917
    • Derouich, M.1    Boutayeb, A.2
  • 29
    • 0034700423 scopus 로고    scopus 로고
    • Channel sharing in pancreatic β-cells revisited: Enhancement of emergent bursting by noise
    • G. De Vries, and A. Sherman Channel sharing in pancreatic β-cells revisited: Enhancement of emergent bursting by noise J. Theor. Biol. 207 2000 513 530
    • (2000) J. Theor. Biol. , vol.207 , pp. 513-530
    • De Vries, G.1    Sherman, A.2
  • 31
    • 5244221511 scopus 로고
    • A model for ultradian oscillations of insulin and glucose
    • A. Drozdov, and H. Khanina A model for ultradian oscillations of insulin and glucose Math. Comput. Modelling 22 1995 23 38
    • (1995) Math. Comput. Modelling , vol.22 , pp. 23-38
    • Drozdov, A.1    Khanina, H.2
  • 32
    • 33644623614 scopus 로고    scopus 로고
    • http://www.endocrineweb.com/insulin.html
  • 33
    • 0035319009 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations arising from physiological modeling
    • K. Engelborghs, V. Lemaire, J. Bélair, and D. Roose Numerical bifurcation analysis of delay differential equations arising from physiological modeling J. Math. Biol. 42 2001 361 385
    • (2001) J. Math. Biol. , vol.42 , pp. 361-385
    • Engelborghs, K.1    Lemaire, V.2    Bélair, J.3    Roose, D.4
  • 35
    • 84867970865 scopus 로고    scopus 로고
    • Limit cycles in an optimal control problem of diabetes
    • J.R. Faria Limit cycles in an optimal control problem of diabetes Appl. Math. Lett. 16 2003 127 130
    • (2003) Appl. Math. Lett. , vol.16 , pp. 127-130
    • Faria, J.R.1
  • 36
    • 0242721811 scopus 로고    scopus 로고
    • The minimal model: An evolving methodology
    • I.F. Godsland The minimal model: An evolving methodology Comment on behalf of the Editorial Board Clinical Sci. 105 2003 531 532
    • (2003) Clinical Sci. , vol.105 , pp. 531-532
    • Godsland, I.F.1
  • 37
    • 0015381760 scopus 로고
    • A threshold distribution hypothesis for packet storage of insulin and its mathematical modeling
    • G.M. Grodsky A threshold distribution hypothesis for packet storage of insulin and its mathematical modeling J. Clin. Invest. 51 1972 2047 2059
    • (1972) J. Clin. Invest. , vol.51 , pp. 2047-2059
    • Grodsky, G.M.1
  • 38
    • 0018165319 scopus 로고
    • A model of glucose-insulin homeostasis in man that incorporates the heterogeneous fast pool theory of pancreatic insulin release
    • J.R. Guyton, R.O. Foster, J.S. Soeldner, M.H. Tan, C.B. Kahn, L. Koncz, and R.E. Gleason A model of glucose-insulin homeostasis in man that incorporates the heterogeneous fast pool theory of pancreatic insulin release Diabetes 27 1978 1027 1042
    • (1978) Diabetes , vol.27 , pp. 1027-1042
    • Guyton, J.R.1    Foster, R.O.2    Soeldner, J.S.3    Tan, M.H.4    Kahn, C.B.5    Koncz, L.6    Gleason, R.E.7
  • 39
  • 40
    • 0031239240 scopus 로고    scopus 로고
    • DIAS - The diabetes advisory system: An outline of the system and the evaluation results obtained so far
    • O.K. Hejlesen, S. Andreassen, R. Hovorka, and D.A. Cavan DIAS - the diabetes advisory system: An outline of the system and the evaluation results obtained so far Comput. Methods Programs Biomedicine 54 1997 49 58
    • (1997) Comput. Methods Programs Biomedicine , vol.54 , pp. 49-58
    • Hejlesen, O.K.1    Andreassen, S.2    Hovorka, R.3    Cavan, D.A.4
  • 41
    • 33644631168 scopus 로고    scopus 로고
    • A model of β-cell mass, insulin, glucose and receptor dynamics with applications to diabetes
    • Cornell Univ., Dept. of Biometrics
    • R.D. Hernandez, D.J. Lyles, D.B. Rubin, Th.B. Voden, St.A. Wirkus, A model of β-cell mass, insulin, glucose and receptor dynamics with applications to diabetes, Cornell Univ., Dept. of Biometrics, Technical Report BU-1579-M, 2001
    • (2001) Technical Report , vol.BU-1579-M
    • Hernandez, R.D.1    Lyles, D.J.2    Rubin, D.B.3    Voden, Th.B.4    Wirkus, St.A.5
  • 44
    • 0034905839 scopus 로고    scopus 로고
    • Diffusion induced oscillatory insulin secretion
    • J.P. Keener Diffusion induced oscillatory insulin secretion Bull. Math. Biol. 63 2001 625 641
    • (2001) Bull. Math. Biol. , vol.63 , pp. 625-641
    • Keener, J.P.1
  • 45
    • 0021322542 scopus 로고
    • Insulin responses to varying profiles of subcutaneous insulin infusion: Kinetic modelling studies
    • E.W. Kraegen, and D.J. Chisholm Insulin responses to varying profiles of subcutaneous insulin infusion: Kinetic modelling studies Diabetologia 26 1984 208 213
    • (1984) Diabetologia , vol.26 , pp. 208-213
    • Kraegen, E.W.1    Chisholm, D.J.2
  • 46
    • 84907107765 scopus 로고
    • Application of computers in diabetes care - A review. II, Computers for decision support and education
    • E.D. Lehmann, and T. Deutsch Application of computers in diabetes care - a review. II, Computers for decision support and education Med. Inform. 20 1995 303 329
    • (1995) Med. Inform. , vol.20 , pp. 303-329
    • Lehmann, E.D.1    Deutsch, T.2
  • 48
    • 0042446576 scopus 로고    scopus 로고
    • Analysis of IVGTT glucose-insulin interaction models with time delay
    • J. Li, Y. Kuang, and B. Li Analysis of IVGTT glucose-insulin interaction models with time delay Discrete Contin. Dyn. Syst. Ser. B 1 1 2001 103 124
    • (2001) Discrete Contin. Dyn. Syst. Ser. B , vol.1 , Issue.1 , pp. 103-124
    • Li, J.1    Kuang, Y.2    Li, B.3
  • 49
    • 0029329328 scopus 로고
    • Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells
    • L.W. Maki, and J. Keizer Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells Bull. Math. Biol. 57 1995 569 591
    • (1995) Bull. Math. Biol. , vol.57 , pp. 569-591
    • Maki, L.W.1    Keizer, J.2
  • 50
    • 0036725442 scopus 로고    scopus 로고
    • Mathematical modeling in glucose metabolism and insulin secretion
    • A. Mari Mathematical modeling in glucose metabolism and insulin secretion Curr. Opin. Clin. Nutr. Metab. Care 5 2002 495 501
    • (2002) Curr. Opin. Clin. Nutr. Metab. Care , vol.5 , pp. 495-501
    • Mari, A.1
  • 51
    • 1042267910 scopus 로고    scopus 로고
    • Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
    • A. Mukhopadhyay, A. De Gaetano, and O. Arino Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model Discrete Contin. Dyn. Syst. Ser. B 4 2 2004 407 417
    • (2004) Discrete Contin. Dyn. Syst. Ser. B , vol.4 , Issue.2 , pp. 407-417
    • Mukhopadhyay, A.1    De Gaetano, A.2    Arino, O.3
  • 52
    • 0034032108 scopus 로고    scopus 로고
    • Models of subcutaneous insulin kinetics. A critical review
    • G. Nucci, and C. Cobelli Models of subcutaneous insulin kinetics. A critical review Comput. Methods Programs Biomedicine 62 2000 249 257
    • (2000) Comput. Methods Programs Biomedicine , vol.62 , pp. 249-257
    • Nucci, G.1    Cobelli, C.2
  • 53
    • 0022797049 scopus 로고
    • MINMOD: A computer program to calculate insulin sensitivity and pancreatic responsitivity from the frequently sampled intravenous glucose tolerance test
    • G. Pacini, and R.N. Bergman MINMOD: A computer program to calculate insulin sensitivity and pancreatic responsitivity from the frequently sampled intravenous glucose tolerance test Comput. Methods Programs Biomedicine 23 1986 113 122
    • (1986) Comput. Methods Programs Biomedicine , vol.23 , pp. 113-122
    • Pacini, G.1    Bergman, R.N.2
  • 55
    • 0031827222 scopus 로고    scopus 로고
    • Evidence for a circadian rhythm of insulin release from perifused rat pancreatic islets
    • E. Peschke, and D. Peschke Evidence for a circadian rhythm of insulin release from perifused rat pancreatic islets Diabetologia 41 1998 1085 1092
    • (1998) Diabetologia , vol.41 , pp. 1085-1092
    • Peschke, E.1    Peschke, D.2
  • 56
    • 0037633098 scopus 로고    scopus 로고
    • Numerical non-identifiability regions of the minimal model of glucose kinetics: Superiority of Bayesian estimation
    • G. Pillonetto, G. Sparacino, and C. Cobelli Numerical non-identifiability regions of the minimal model of glucose kinetics: Superiority of Bayesian estimation Math. Biosci. 184 2003 53 67
    • (2003) Math. Biosci. , vol.184 , pp. 53-67
    • Pillonetto, G.1    Sparacino, G.2    Cobelli, C.3
  • 58
    • 0029617635 scopus 로고
    • A model for multiple subcutaneous insulin injections developed from individual diabetic patient data
    • Endocrinol. Metab. 32 1995 E1115 E1124
    • W.R. Puckett, and E.N. Lightfoot A model for multiple subcutaneous insulin injections developed from individual diabetic patient data Amer. J. Physiol. 269 1995 E1115 E1124 or Endocrinol. Metab. 32 1995 E1115 E1124
    • (1995) Amer. J. Physiol. , vol.269
    • Puckett, W.R.1    Lightfoot, E.N.2
  • 59
    • 18544410176 scopus 로고    scopus 로고
    • Blood glucose control for type i diabetes mellitus: A robust tracking H∞ problem
    • E. Ruiz-Velázquez, R. Femat, and D.U. Campos-Delgado Blood glucose control for type I diabetes mellitus: A robust tracking H ∞ problem Control Engrg. Practice 12 2004 1179 1195
    • (2004) Control Engrg. Practice , vol.12 , pp. 1179-1195
    • Ruiz-Velázquez, E.1    Femat, R.2    Campos-Delgado, D.U.3
  • 60
    • 0036314332 scopus 로고    scopus 로고
    • Ultradian oscillations of insulin secretion in humans
    • C. Simon, and G. Brandenberger Ultradian oscillations of insulin secretion in humans Diabetes 51 Suppl. 1 2002 S258 S261
    • (2002) Diabetes , vol.51 , Issue.1
    • Simon, C.1    Brandenberger, G.2
  • 63
    • 0019301475 scopus 로고
    • 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 12 1980 979 990
    • (1980) Diabetes , vol.29 , Issue.12 , pp. 979-990
    • Toffolo, G.1    Bergman, R.N.2    Finegood, D.T.3    Bowden, C.R.4    Cobelli, C.5
  • 64
    • 0034619688 scopus 로고    scopus 로고
    • Modeling the insulin-glucose feedback system: The significance of pulsatile insulin secretion
    • I.M. Tolić, E. Mosekilde, and J. Sturis Modeling the insulin-glucose feedback system: The significance of pulsatile insulin secretion J. Theor. Biol. 207 2000 361 375
    • (2000) J. Theor. Biol. , vol.207 , pp. 361-375
    • Tolić, I.M.1    Mosekilde, E.2    Sturis, J.3
  • 65
    • 0034699781 scopus 로고    scopus 로고
    • A model of β-cell mass, insulin, and glucose kinetics: Pathways to diabetes
    • B. Topp, K. Promislow, G. DeVries, R.M. Miura, and D.T. Finegood A model of β-cell mass, insulin, and glucose kinetics: Pathways to diabetes J. Theor. Biol. 206 2000 605 619
    • (2000) J. Theor. Biol. , vol.206 , pp. 605-619
    • Topp, B.1    Promislow, K.2    Devries, G.3    Miura, R.M.4    Finegood, D.T.5
  • 66
    • 0030217842 scopus 로고    scopus 로고
    • Fuzzy filter for state estimation of a glucoregulatory system
    • Z. Trajanoski, and P. Wach Fuzzy filter for state estimation of a glucoregulatory system Comput. Methods Programs Biomedicine 50 1996 265 273
    • (1996) Comput. Methods Programs Biomedicine , vol.50 , pp. 265-273
    • Trajanoski, Z.1    Wach, P.2
  • 68
    • 0031106701 scopus 로고    scopus 로고
    • Estimation of endogenous glucose production after a glucose perturbation by nonparametric stochastic deconvolution
    • P. Vicini, G. Sparacino, A. Caumo, and C. Cobelli Estimation of endogenous glucose production after a glucose perturbation by nonparametric stochastic deconvolution Comput. Methods Programs Biomedicine 52 1997 147 156
    • (1997) Comput. Methods Programs Biomedicine , vol.52 , pp. 147-156
    • Vicini, P.1    Sparacino, G.2    Caumo, A.3    Cobelli, C.4
  • 69
    • 0028832056 scopus 로고
    • Numerical approximation of mathematical model for absorption of subcutaneously injected insulin
    • P. Wach, Z. Trajanoski, P. Kotanko, and F. Skrabal Numerical approximation of mathematical model for absorption of subcutaneously injected insulin Med. Biol. Engrg. Comput. 33 1 1995 18 23
    • (1995) Med. Biol. Engrg. Comput. , vol.33 , Issue.1 , pp. 18-23
    • Wach, P.1    Trajanoski, Z.2    Kotanko, P.3    Skrabal, F.4


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