Dimensional analysis of MINMOD leads to definition of the disposition index of glucose regulation and improved simulation algorithm

BioMedical Engineering Online

Volumn 5, Issue , 2006, Pages

  Nittala, Aparna ^a   Ghosh, Soumitra ^a   Stefanovski, Darko ^b   Bergman, Richard ^b   Wang, Xujing ^a  

^a MEDICAL COLLEGE OF WISCONSIN   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIMENSIONAL ANALYSIS; DISPOSITION INDEX; METABOLIC CONTROL; MINIMAL MODEL (MINMOD); SIMULATION ALGORITHM;

ALGORITHMS; BIOMEDICAL ENGINEERING; COMPUTER SIMULATION; MATHEMATICAL MODELS; METABOLISM; PARAMETER ESTIMATION;

GLUCOSE;

GLUCOSE; INSULIN; GLUCOSE BLOOD LEVEL;

ACCURACY; ALGORITHM; ARTICLE; BLOOD GLUCOSE MONITORING; CONTROLLED STUDY; GLUCOSE METABOLISM; HUMAN; INSULIN RESPONSE; INSULIN SENSITIVITY; INTERMETHOD COMPARISON; INTRAVENOUS GLUCOSE TOLERANCE TEST; MATHEMATICAL MODEL; METABOLIC REGULATION; MONTE CARLO METHOD; NON INSULIN DEPENDENT DIABETES MELLITUS; PERFORMANCE; SIMULATION; ANALYSIS; BIOLOGICAL MODEL; BLOOD; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DIAGNOSTIC USE; FEEDBACK SYSTEM; GLUCOSE BLOOD LEVEL; GLUCOSE TOLERANCE TEST; HOMEOSTASIS; METABOLISM; PHYSIOLOGY; PROCEDURES; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; BLOOD GLUCOSE; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; FEEDBACK; GLUCOSE TOLERANCE TEST; HOMEOSTASIS; HUMANS; INSULIN; MODELS, BIOLOGICAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 33748492137     PISSN: 1475925X     EISSN: 1475925X     Source Type: Journal    
DOI: 10.1186/1475-925X-5-44     Document Type: Article

References (34)

1. Bergman RN, Ider YZ, Bowden CR, Cobelli C: Quantitative estimation of insulin sensitivity. Am J Physiol 1979, 236(6):E667-677.
2. Toffolo G, Bergman RN, Finegood DT, Bowden CR, Cobelli C: Quantitative estimation of beta cell sensitivity to glucose in the intact organism: a minimal model of insulin kinetics in the dog. Diabetes 1980, 29(12):979-990.
3. Pacini G, Bergman RN: 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.
4. Bergman RN: Minimal model: perspective from 2005. Horm Res 2005, 64(Suppl 3):8-15.
5. Boston RC, Stefanovski D, Moate PJ, Sumner AE, Watanabe RM, Bergman RN: MINMOD Millennium: a computer program to calculate glucose effectiveness and insulin sensitivity from the frequently sampled intravenous glucose tolerance test. Diabetes Technol Ther 2003, 5(6):1003- 1015.
6. Bergman RN: Lilly lecture 1989. Toward physiological understanding of glucose tolerance. Minimal-model approach. Diabetes 1989, 38(12):1512-1527.
7. Kahn SE, Prigeon RL, McCulloch DK, Boyko EJ, Bergman RN, Schwartz MW, Neifing JL, Ward WK, Beard JC, Palmer JP, et al.: Quantification of the relationship between insulin sensitivity and beta-cell function in human subjects. Evidence for a hyperbolic function. Diabetes 1993, 42(11):1663-1672.
8. Bergman RN: The minimal model of glucose regulation: a biography. Adv Exp Med Biol 2003, 537:1-19.
9. Weyer C, Bogardus C, Mott DM, Pratley RE: The natural history of insulin secretory dysfunction and insulin resistance in the pathogenesis of type 2 diabetes mellitus. J Clin Invest 1999, 104(6):787-794.
10. Bergman RN, Zaccaro DJ, Watanabe RM, Haffner SM, Saad MF, Norris JM, Wagenknecht LE, Hokanson JE, Rotter JI, Rich SS: Minimal model-based insulin sensitivity has greater heritability and a different genetic basis than homeostasis model assessment or fasting Insulin. Diabetes 2003, 52(8):2168-2174.
11. Bergman RB, Mucking K, Watanabe RM: measureing insulin action in vivo. In International textbook of diabetes mellitus Edited by: DeFronzo RA, Ferrannini E, Keen K, Zimmet P. John Wiley & Sons, Ltd; 2004:303-318.
12. Consensus Development Conference on Insulin Resistance. 5-6 November 1997. American Diabetes Association. Diabetes Care 1998, 21(2):310-314.
13. De Gaetano A, Arino O: Mathematical modelling of the intravenous glucose tolerance test. J Math Biol 2000, 40(2):136-168.
14. Pillonetto G, Sparacino G, Cobelli C: Numerical non-identiflability regions of the minimal model of glucose kinetics: superiority of Bayesian estimation. Math Biosci 2003, 184(1):53-67.
15. Segel LA: simplification and scaling. Society for Industrial and Applied Mathematics Review 1972, 14(4):547-571.
16. Lin CC, Segel LA. Simplification, dimensional analysis, and scaling. In Mathematics applied to deterministic problems in the natural sciences Philadelphia: SIAM; 1988:185-223.
17. Edelstein-Keshet L: Mathematical Models in Biology. SIAM Classics in Applied Mathematics 2004.
18. Rosen R: Role of similarity principles in data extrapolation. Am J Physiol 1983, 244(5):R591-599.
19. Buckingham E: Illustrations of the Use of Dimensional Equations. Physical Review 1914, 4:345-376.
20. Welch NS, Gebhart SSP, Bergman RB: Modification of IVGTT-derived insulin sensitivity for applicability in diabetic subjects. Diabetes 1987, 36(Suppl 1): 15A.
21. Pacini G, Tonolo G, Sambataro M, Maioli M, Ciccarese M, Brocco E, Avogaro A, Nosadini R: Insulin sensitivity and glucose effectiveness: minimal model analysis of regular and insulin-modified FSIGT. Am J Physiol 1998, 274(4 Pt 1):E592-599.
22. [http://www.mathworks.com/access/helpdesk/help/toolbox/optim/ug/ isqnonlin.html].
23. Ghosh S, Watanabe RM, Valle TT, Hauser ER, Magnuson VL, Langefeld CD, Ally DS, Mohlke KL, Silander K, Kohtamaki K, et al.: The Finland-United States investigation of non-insulin-dependent diabetes mellitus genetics (FUSION) study. 1. An autosomal genome scan for genes that predispose to type 2 diabetes. Am J Hum Genet 2000, 67(5):1174-1185.
24. Watanabe RM, Ghosh S, Langefeld CD, Valle TT, Hauser ER, Magnuson VL, Mohlke KL, Silander K, Ally DS, Chines P, et al.: The Finland-United States investigation of non-insulin-dependent diabetes mellitus genetics (FUSION) study. II. An autosomal genome scan for diabetes-related quantitative-trait loci. Am J Hum Genet 2000, 67(5):1186-1200.
25. Mehring GH, Coates PA. Brunei PC, Luzio SD, Owens DR: Insulin sensitivity in type 2 diabetes: univariate and multivariate techniques to derive estimates of insulin sensitivity from the insulin modified intravenous glucose tolerance test (FSIGT). Comput Methods Programs Biomed 2002, 68(2):161-176.
26. Godsland IF, Walton C: Maximizing the success rate of minimal model insulin sensitivity measurement in humans: the importance of basal glucose levels. Clin Sci (Lond) 2001, 101(1):1-9.
27. Radikova Z: Assessment of insulin sensitivity/resistance in epidemiological studies. Endocr Regul 2003, 37(3):189-194.
28. Monzillo LU, Hamdy O: Evaluation of insulin sensitivity in clinical practice and in research settings. Nutr Rev 2003, 61(12):397-412.
29. Cederholm J, Wibell L: Insulin release and peripheral sensitivity at the oral glucose tolerance test. Diabetes Res Clin Pract 1990, 10(2):167-175.
30. Gutt M, Davis CL, Spitzer SB, Llabre MM, Kumar M, Czarnecki EM, Schneiderman N, Skyler JS, Marks JB: Validation of the insulin sensitivity index (181(0, 120)): comparison with other measures. Diabetes Res Clin Pract 2000, 47(3):177-184.
31. Bonora E, Kiechl S, Willeit J, Oberhollenzer F, Egger G, Meigs JB, Bonadonna RC, Muggeo M: Population-based incidence rates and risk factors for type 2 diabetes in white individuals: the Bruneck study. Diabetes 2004,53(7):1782-1789.
32. Basu A, Caumo A, Bettini F, Gelisio A, Alzaid A, Cobelli C, Rizza RA: Impaired basal glucose effectiveness in NIDDM: contribution of defects in glucose disappearance and production, measured using an optimized minimal model independent protocol. Diabetes 1997, 46(3):421-432.
33. Matthews DR, Hosker JP, Rudenski AS, Naylor BA, Treacher DF, Turner RC: Homeostasis model assessment: insulin resistance and beta-cell function from fasting plasma glucose and insulin concentrations in man. Diabetologia 1985, 28(7):412-419.
34. Pillonetto G, Caumo A, Sparacino G, Cobelli C: A new dynamic index of insulin sensitivity. IEEE Trans Biomed Eng 2006, 53(3):369-379.