Abstract
Mathematical models are playing an increasing role in understanding the complexity of multifactorial diseases like type 2 diabetes. The objective of this study was to validate a population of virtual patients against a real population of patients with type 2 diabetes. A population of virtual patients was created that incorporates different underlying pathogenic lesions consistent with a type 2 diabetic phenotype. These virtual patients were created within the Metabolism PhysioLab platform, a non-linear coupled differential algebraic model that incorporates the salient causal mechanisms underlying glucose homeostasis and substrate metabolism. The weights of each individual virtual patient were determined to reproduce the diversity in a real type 2 diabetic population obtained from the NHANES III study. As a validation test, this virtual population reproduced a series of clinical studies that identify less invasive biomarkers for insulin sensitivity. This approach demonstrates how computational bridges can be constructed between statistical approaches common in epidemiology and deterministic approaches common in biomedical engineering.
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Abbreviations
- 4D-PDF:
-
4-Dimensional probability density function
- NHANES:
-
National Health and Nutrition Examination Survey
- OGTT:
-
Oral glucose tolerance test
- PCA:
-
Principal component analysis
- VP:
-
Virtual patient
References
American Diabetes Association Panel (2004) Guidelines for Computer Modeling of Diabetes and Its Complications. Diabetes 27:2262–2265
Audoly S., Bellu G., D’Angio L., Saccomani M.P., Cobelli C. (2001). Global identifiability of nonlinear models of biological systems. IEEE Trans Biomed Eng 48:55–65
Balta, C., P. Finin, L. C. Habets, A. Halasz, M. Imielinski, V. Kumar, and H. Rubin, Understanding the bacterial stringent response using reachability analysis of hybrid systems. In: Proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, edited by R. Alur and G. J. Pappas, 2004, Lecture Notes in Computer Science, pp. 111–125.
Bergman R.N., Ider Y.Z., Bowden C.R., Cobelli C. (1979). Quantitative estimation of insulin sensitivity. Am J Physiol 236:E667–E677
Bonora E., Targher G., Alberiche M., Bonadonna R.C., Saggiani F., Zenere M.B., Monauni T., Muggeo M. (2000). Homeostasis model assessment closely mirrors the glucose clamp technique in the assessment of insulin sensitivity: studies in subjects with various degrees of glucose tolerance and insulin sensitivity. Diabetes Care 23:57–63
Brazhnik, P., K. Hall, D. Polidori, S. Q. Siler, and J. K. Trimmer. Method and apparatus for computer modeling diabetes. US Patent Application #10/040,373, 2002.
Butler A.E., Janson J., Bonner-Weir S., Ritzel R., Rizza R.A., Butler P.C. (2003). Beta-cell deficit and increased beta-cell apoptosis in humans with type 2 diabetes. Diabetes 52:102–110
Danhof M., de Jongh J., De Lange E.C.M., Pasqua O.D., Ploeger B.A., Voskuyl R.A. (2007). Mechanism-Based Pharmacokinetic–Pharmacodynamic Modeling: Biophase Distribution, Receptor Theory, and Dynamical Systems Analysis. Annu Rev Pharmacol Toxicol 47:357–400
De Winter W., De Jongh J., Post T., Ploeger B.A., Urquhart R., Moules I., Eckland D., Danhof M. (2006). A mechanism-based disease progression model for comparison of the long-term effects of pioglitazone, meformin and glyclazide on disease processes underlying type 2 diabetes mellitus. J Pharmacokin Pharmacodyn 33:313–343
DeFronzo R.A. (1988). Lilly lecture 1987. The triumvirate: beta-cell, muscle, liver. A collusion responsible for NIDDM. Diabetes 37:667–687
DeFronzo R.A., Bonadonna R.C., Ferrannini E. (1992). Pathogenesis of NIDDM. A balanced overview. Diabetes Care 15:318–368
DeFronzo R.A., Tobin J.D., Andres R. (1979). Glucose clamp technique: a method for quantifying insulin secretion and resistance. Am J Physiol 237:E214–E223
Eddy D.M., Schlessinger L. (2003). Archimedes: A trial-validated model of diabetes. Diabetes Care 26:3093–3101
Eddy D.M., Schlessinger L. (2003). Validation of the Archimedes Diabetes Model. Diabetes Care 26:3102–3110
Frayn K.N. (2003). Metabolic Regulation: A Human Perspective. Blackwell Publishing, Oxford, UK
Galetin A., Brown C., Hallifax D., Ito K., Houston J.B. (2004). Utility of recombinant enzyme kinetics in prediction of human clearance: impact of variability, CYP3A5, and CYP2C19 on CYP3A4 probe substrates. Drug Metab Dispos 32:1411–1420
Galvin P., Ward G., Walters J., Pestell R., Koschmann M., Vaag A., Martin I., Best J.D., Alford F. (1992). A simple method for quantitation of insulin sensitivity and insulin release from an intravenous glucose tolerance test. Diabet Med 9:921–928
Garvey W.T., Maianu L., Zhu J.H., Brechtel-Hook G., Wallace P., Baron A.D. (1998). Evidence for defects in the trafficking and translocation of GLUT4 glucose transporters in skeletal muscle as a cause of human insulin resistance. J Clin Invest 101:2377–2386
Hall K., Siler S.Q., Leipold R., Hager M., Trimmer J.K., Polidori D. (2002). Computer simulation of insulin therapy in type 2 diabetes: reduction of liver glycogen and counter-regulatory increase in food intake. Diabetes 51:A581
Hother-Nielsen O., Henriksen J.E., Holst J.J., Beck-Nielsen H. (1996). Effects of insulin on glucose turnover rates in vivo: isotope dilution versus constant specific activity technique. Metabolism 45:82–91
Jacquez J.A., Perry T. (1990). Parameter estimation: local identifiability of parameters. Am J Physiol 258:E727–E736
Janssen I., Heymsfield S.B., Baumgartner R.N., Ross R. (2000). Estimation of skeletal muscle mass by bioelectrical impedance analysis. J Appl Physiol 89:465–471
Jolliffe I.T. (1995). Rotation of principal components: choice of normalization constraints. J Appl Stats 22:29–35
Kaiser H.F. (1960). The application of electronic computers to factor analysis. Educational and Psychological Measurement 20:141–151
Kansal A.R. (2004). Modeling Approaches to Type 2 Diabetes. Diabetes Technol Ther 6:39–47
Kansal A.R., Trimmer J.K. (2005). Application of predictive biosimulation within pharmaceutical clinical development: examples of significance for translational medicine and clinical trial design. IEE Proc Syst Biol 152:214–262
Katz A., Nambi S.S., Mather K., Baron A.D., Follmann D.A., Sullivan G., Quon M.J. (2000). Quantitative insulin sensitivity check index: a simple, accurate method for assessing insulin sensitivity in humans. J Clin Endocrinol Metab 85:2402–2410
Khattree R., Naik D.N. (2000). Multivariate Data Reduction and Discrimination with SAS Software. SAS Institute Inc., Cary, NC
Kyle U.G., Genton L., Slosman D.O., Pichard C. (2001). Fat-free and fat mass percentiles in 5225 healthy subjects aged 15 to 98 years. Nutrition 17:534–541
Matthews D.R., Hosker J.P., Rudenski A.S., Naylor B.A., Treacher D.F., Turner R.C. (1985). Homeostasis model assessment: Insulin resistance and β-cell function from fasting plasma glucose and insulin concentrations in man. Diabetologia 28:412–419
National Center for Health Statistics, National Health and Nutrition Examination Survey III. U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, 1994, URL http://www.cdc.gov/nchs/nhanes.htm
Pearl J. (2000). Causality: Models, Reasoning, and Inference. Cambridge University Press, New York
Petersen K.F., Laurent D., Rothman D.L., Cline G.W., Shulman G.I. (1998). Mechanism by which glucose and insulin inhibit net hepatic glycogenolysis in humans. J Clin Invest 101:1203–1209
Petersen K.F., Laurent D., Yu C., Cline G.W., Shulman G.I. (2001). Stimulating effects of low-dose fructose on insulin-stimulated hepatic glycogen synthesis in humans. Diabetes 50:1263–1268
Polonsky K.S., Given B.D., Van Cauter E. (1988). Twenty-four-hour profiles and pulsatile patterns of insulin secretion in normal and obese subjects. J Clin Invest 81:442–448
Roden M., Price T.B., Perseghin G., Petersen K.F., Rothman D.L., Cline G.W., Shulman G.I. (1996). Mechanism of free fatty acid-induced insulin resistance in humans. J Clin Invest 97:2859–2865
Sheiner L., Wakefield J. (1999). Population Modelling in Drug Development. Stat Methods Med Res 8:183–193
Stumvoll M. (2004). Control of glycaemia: from molecules to men. Minkowski Lecture 2003. Diabetologia 47:770–781
Tabachnick B.G., Fidell L.S. (1996). Using Multivariate Statistics. HarperCollins College Publishers, New York
Vella A., Shah P., Basu R., Basu A., Camilleri M., Schwenk W.F., Rizza R.A. (2002). Effect of enteral vs. parenteral glucose delivery on initial splanchnic glucose uptake in nondiabetic humans. Am J Physiol Endocrinol Metab 283:E259–E266
Yokoyama H., Emoto M., Fujiwara S., Motoyama K., Morioka T., Komatsu M., Tahara H., Koyama H., Shoji T., Inaba M., Nishizawa Y. (2004). Quantitative insulin sensitivity check index and the reciprocal index of homeostasis model assessment are useful indexes of insulin resistance in type 2 diabetic patients with wide range of fasting plasma glucose. J Clin Endocrinol Metab 89:1481–1484
Acknowledgments
The author would like to acknowledge the contributions of several people to this work. Paul Brazhnik, Kevin Hall, Dave Polidori, Scott Siler, and Jeff Trimmer contributed to creating the Metabolism PhysioLab platform. Dave Polidori, Scott Siler, MariaLuisa Ruiz, and Arthur Lo contributed to creating virtual patients used in this study. Tom Paterson, Leif Wennerberg, and Christina Friedrich contributed to developing concepts related to prevalence assessment of virtual patients populations.
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Klinke, D.J. Integrating Epidemiological Data into a Mechanistic Model of Type 2 Diabetes: Validating the Prevalence of Virtual Patients. Ann Biomed Eng 36, 321–334 (2008). https://doi.org/10.1007/s10439-007-9410-y
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DOI: https://doi.org/10.1007/s10439-007-9410-y