Evaluation of nonlinear regression approaches to estimation of insulin sensitivity by the minimal model with reference to Bayesian hierarchical analysis

American Journal of Physiology - Endocrinology and Metabolism

Volumn 291, Issue 1, 2006, Pages

  Godsland, Ian F ^a,c   Agbaje, Olorunsola F ^b   Hovorka, Roman ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c ST MARY S HOSPITAL   (United Kingdom)

Author keywords

Metabolic syndrome; Parameter estimation; Population modeling

Indexed keywords

GLUCOSE; HIGH DENSITY LIPOPROTEIN CHOLESTEROL; INSULIN; TRIACYLGLYCEROL; URIC ACID;

ARTICLE; BAYES THEOREM; BLOOD PRESSURE; BODY MASS; CARDIOVASCULAR RISK; COHORT ANALYSIS; CONTROLLED STUDY; HUMAN; HUMAN EXPERIMENT; INSULIN SENSITIVITY; INTRAVENOUS GLUCOSE TOLERANCE TEST; MALE; NONLINEAR REGRESSION ANALYSIS; PRIORITY JOURNAL; SCREENING; TRIACYLGLYCEROL BLOOD LEVEL;

BAYES THEOREM; BLOOD GLUCOSE; CHOLESTEROL, HDL; GLUCOSE TOLERANCE TEST; HUMANS; INSULIN; INSULIN RESISTANCE; MALE; MODELS, BIOLOGICAL; REGRESSION ANALYSIS; TRIGLYCERIDES;

EID: 33745845476     PISSN: 01931849     EISSN: 15221555     Source Type: Journal    
DOI: 10.1152/ajpendo.00328.2004     Document Type: Article

References (26)

1. Agbaje OF, Luzio SD, Albarrak AIS, Lunn DJ, Owens DR, and Hovorka R. Bayesian hierarchical approach to estimate insulin sensitivity by minimal model. Clin Sci (Lond) 105: 551-560, 2003.
2. Bergman RN, Ider YZ, Bowden CR, and Cobelli C. Quantitative estimation of insulin sensitivity. Am J Physiol Endocrinol Metab Gastrointest Physiol 236: E667-E677, 1979.
3. Best N, Cowles MK, and Vines SK. CODA: Convergence Diagnosis and Output Analysis Software for Gibbs Sampling Output, Version 0.40. Cambridge, UK: MRC Biostatistics Unit, 1997.
4. Bland JM and Altman DG. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1: 307-310, 1986.
5. Boston RC, Stefanovski D, Moate PJ, Sumner AE, Watanabe R, and Bergman RN. MINMOD Millenium: a computer program to claculate glucose effectiveness and insulin sensitivity from the frequently sampled intravenous glucose tolerance test. Diab Tech Ther 5: 1003-1015, 2003.
6. Carson ER, Cobelli C, and Finkelstein L. The Mathematical Modeling of Metabolic and Endocrine Systems. New York: Wiley, 1983.
7. Coates PA, Ollerton RL, Luzio SD, Ismail IS, and Owens DR. Reduced sampling protocols in estimation of insulin sensitivity and glucose effectiveness using the minimal model in NIDDM. Diabetes 42: 1635-1641, 1993.
8. Cobelli C, Caumo A, and Omenetto M. Minimal model SG overestimation and SI underestimation: improved accuracy by a Bayesian two-compartment model. Am J Physiol Endocrinol Metab 277: E481-E488, 1999.
9. DeGaetano A, Mingrone G, and Castegneto M. NONMEM improves group parameter estimation for the minimal model of glucose kinetics. Am J Physiol Endocrinol Metab 271: E932-E937, 1996.
10. Erichsen L, Agbaje OF, Luzio SD, Owens DR, and Hovorka R. Population and individual minimal modeling of the frequently sampled insulin-modified intravenous glucose tolerance test. Metabolism 53: 1349-1354, 2004.
11. Godsland IF, Leyva F, Worthington M, Walton C, and Stevenson JC. Associations of smoking, alcohol and physical activity with risk factors for coronary heart disease and diabetes in the first follow-up cohort of the HDDRISC Study (HDDRISC-1). J Intern Med 244: 33-41, 1998.
12. Godsland IF, Rosankiewicz JR, Proudler AJ, and Johnston DG. Plasma total homocysteine concentrations are unrelated to insulin sensitivity and components of the metabolic syndrome in healthy men. J Clin Endocrinol Metab 86: 719-723, 2001.
13. Godsland IF and Walton C. Maximising the success rate of minimal model insulin sensitivity measurement in humans: the importance of basal glucose levels. Clin Sci (Lond) 101: 1-9, 2001.
14. Lunn DJ, Thomas A, and Best N. Win BUGS - a Bayesian modelling framework: concepts, structure and extensibility. Stat Comput 10: 325-337, 2000.
15. Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, and Teller E. Equation of state calculations by fast computing machine. J Chem Phys 21: 1087-1091, 1953.
16. Pacini G and Bergman R. MINMOD: a computer program to calculate insulin sensitivity and pancreatic responsivity from the frequently sampled intravenous glucose tolerance test. Comput Programs Biomed 23: 113-122, 1986.
17. Pillonetto G, Sparacino G, and Cobelli C. Numerical non-identifiability regions of the minimal model of glucose kinetics: superiority of Bayesian estimation. Math Biosci 184: 53-67, 2003.
18. Rostami-Hodjegan A, Peacey SR, George E, Heller SR, and Tucker GT. Population-based modeling to demonstrate extrapancreatic effects of tolbutamide. Am J Physiol Endocrinol Metab 274: E758 -E771, 1998.
19. Steil GM, Volund A, Kahn SE, and Bergman R. Reduced sample number for calculation of insulin sensitivity and glucose effectiveness from the minimal model. Diabetes 42: 250-256, 1993.
20. Swan J, Walton C, and Godsland IF. Assessment of insulin sensitivity in man: a comparison of minimal model and euglycaemic clamp derived measures in health and heart failure. Clin Sci (Lond) 86: 317-322, 1994.
21. Trinder P. Determination of blood glucose using an oxidase-peroxidase system with non-carcinogenic chromogen. J Clin Pathol 22: 158-161, 1969.
22. Vicini P and Cobelli C. The iterative two-stage population approach to IVGTT minimal modeling: improved precision with reduced sampling. Am J Physiol Endocrinol Metab 280: E179-E186, 2001.
23. Walton C, Godsland IF, Proudler AJ, Felton C, and Wynn V. Evaluation of four mathematical models of glucose and insulin dynamics with analysis of the effects of age and obesity. Am J Physiol Endocrinol Metab 262: E755-E762, 1992.
24. Warnick GR and Albers JJ. A comprehensive evaluation of the heparin-manganese precipitation procedure for estimating high density lipoprotein cholesterol. J Lipid Res 19: 65-76, 1978.
25. Welch S, Gebhart S, Bergman R, and Philips L. Minimal model analysis of intravenous glucose tolerance test-derived insulin sensitivity in diabetic subjects. J Clin Endocrinol Metab 71: 1508-1518, 1990.
26. Yang Y, Youn J, and Bergman R. Modified protocols improve insulin sensitivity estimation using the minimal model. Am J Physiol Endocrinol Metab 253: E595-E602, 1987.