Routine OGTT: A Robust Model Including Incretin Effect for Precise Identification of Insulin Sensitivity and Secretion in a Single Individual

In order to provide a method for precise identification of insulin sensitivity from clinical Oral Glucose Tolerance Test (OGTT) observations, a relatively simple mathematical model (Simple Interdependent glucose/insulin MOdel SIMO) for the OGTT, which coherently incorporates commonly accepted physiological assumptions (incretin effect and saturating glucose-driven insulin secretion) has been developed. OGTT data from 78 patients in five different glucose tolerance groups were analyzed: normal glucose tolerance (NGT), impaired glucose tolerance (IGT), impaired fasting glucose (IFG), IFG+IGT, and Type 2 Diabetes Mellitus (T2DM). A comparison with the 2011 Salinari (COntinuos GI tract MOdel, COMO) and the 2002 Dalla Man (Dalla Man MOdel, DMMO) models was made with particular attention to insulin sensitivity indices ISCOMO, ISDMMO and kxgi (the insulin sensitivity index for SIMO). ANOVA on kxgi values across groups resulted significant overall (P<0.001), and post-hoc comparisons highlighted the presence of three different groups: NGT (8.62×10−5±9.36×10−5 min−1pM−1), IFG (5.30×10−5±5.18×10−5) and combined IGT, IFG+IGT and T2DM (2.09×10−5±1.95×10−5, 2.38×10−5±2.28×10−5 and 2.38×10−5±2.09×10−5 respectively). No significance was obtained when comparing ISCOMO or ISDMMO across groups. Moreover, kxgi presented the lowest sample average coefficient of variation over the five groups (25.43%), with average CVs for ISCOMO and ISDMMO of 70.32% and 57.75% respectively; kxgi also presented the strongest correlations with all considered empirical measures of insulin sensitivity. While COMO and DMMO appear over-parameterized for fitting single-subject clinical OGTT data, SIMO provides a robust, precise, physiologically plausible estimate of insulin sensitivity, with which habitual empirical insulin sensitivity indices correlate well. The kxgi index, reflecting insulin secretion dependency on glycemia, also significantly differentiates clinically diverse subject groups. The SIMO model may therefore be of value for the quantification of glucose homeostasis from clinical OGTT data.

[1]  J. Meier The contribution of incretin hormones to the pathogenesis of type 2 diabetes. , 2009, Best practice & research. Clinical endocrinology & metabolism.

[2]  Andrea Mari,et al.  Methods for clinical assessment of insulin sensitivity and β-cell function , 2003 .

[3]  G. Nijpels,et al.  Classical and model-based estimates of beta-cell function during a mixed meal vs. an OGTT in a population-based cohort. , 2009, Diabetes research and clinical practice.

[4]  M. Stumvoll,et al.  Use of the oral glucose tolerance test to assess insulin release and insulin sensitivity. , 2000, Diabetes care.

[5]  R. DeFronzo,et al.  Glucose clamp technique: a method for quantifying insulin secretion and resistance. , 1979, The American journal of physiology.

[6]  Claudio Cobelli,et al.  Insulin sensitivity by oral glucose minimal models: validation against clamp. , 2005, American journal of physiology. Endocrinology and metabolism.

[7]  Claudio Cobelli,et al.  The oral glucose minimal model: Estimation of insulin sensitivity from a meal test , 2002, IEEE Transactions on Biomedical Engineering.

[8]  Andrea Mari,et al.  Methods for clinical assessment of insulin sensitivity and beta-cell function. , 2003, Best practice & research. Clinical endocrinology & metabolism.

[9]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[10]  Claudio Cobelli,et al.  Oral Glucose Tolerance Test Minimal Model Indexes of β-Cell Function and Insulin Sensitivity , 2001 .

[11]  P. Raskin,et al.  Report of the expert committee on the diagnosis and classification of diabetes mellitus. , 1999, Diabetes care.

[12]  R. DeFronzo Lilly lecture 1987. The triumvirate: beta-cell, muscle, liver. A collusion responsible for NIDDM. , 1988, Diabetes.

[13]  M. Matsuda,et al.  Insulin sensitivity indices obtained from oral glucose tolerance testing: comparison with the euglycemic insulin clamp. , 1999, Diabetes care.

[14]  P. Palumbo,et al.  An islet population model of the endocrine pancreas , 2010, Journal of mathematical biology.

[15]  Claudio Cobelli,et al.  Minimal model estimation of glucose absorption and insulin sensitivity from oral test: validation with a tracer method. , 2004, American journal of physiology. Endocrinology and metabolism.

[16]  R. Bergman,et al.  The role of the transcapillary insulin transport in the efficiency of insulin action: studies with glucose clamps and the minimal model. , 1990, Hormone and metabolic research. Supplement series.

[17]  Pasquale Palumbo,et al.  Theoretical Biology and Medical Modelling Open Access a Discrete Single Delay Model for the Intra-venous Glucose Tolerance Test , 2022 .

[18]  C Cobelli,et al.  Oral glucose tolerance test minimal model indexes of beta-cell function and insulin sensitivity. , 2001, Diabetes.

[19]  H. Landahl,et al.  A two-compartmental model for insulin secretion. , 1970, Advances in metabolic disorders.

[20]  Elan L. Ohayon,et al.  A Mathematical Model of the Oral Glucose Tolerance Test Illustrating the Effects of the Incretins , 2007, Annals of Biomedical Engineering.

[21]  C Cobelli,et al.  Beta-cell function during insulin-modified intravenous glucose tolerance test successfully assessed by the C-peptide minimal model. , 1999, Metabolism: clinical and experimental.

[22]  G. Pacini,et al.  A Model-Based Method for Assessing Insulin Sensitivity From the Oral Glucose Tolerance Test. Diabetes Care 2001;24:539–548 , 2014, Diabetes Care.

[23]  C Cobelli,et al.  Insulin sensitivity from meal tolerance tests in normal subjects: a minimal model index. , 2000, The Journal of clinical endocrinology and metabolism.

[24]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[25]  Karl Thomaseth,et al.  Model-based assessment of insulin sensitivity of glucose disposal and endogenous glucose production from double-tracer oral glucose tolerance test , 2008, Comput. Methods Programs Biomed..

[26]  A. Tura,et al.  Value of the intravenous and oral glucose tolerance tests for detecting subtle impairments in insulin sensitivity and beta‐cell function in former gestational diabetes , 2008, Clinical endocrinology.

[27]  Geltrude Mingrone,et al.  Advantages of the single delay model for the assessment of insulin sensitivity from the intravenous glucose tolerance test , 2010, Theoretical Biology and Medical Modelling.

[28]  H. Yki-Järvinen Evidence for a primary role of insulin resistance in the pathogenesis of type 2 diabetes. , 1990, Annals of medicine.

[29]  R. Eaton,et al.  Incretin effects of increasing glucose loads in man calculated from venous insulin and C-peptide responses. , 1986, The Journal of clinical endocrinology and metabolism.

[30]  Mats O Karlsson,et al.  An Integrated Glucose‐Insulin Model to Describe Oral Glucose Tolerance Test Data in Healthy Volunteers , 2010, Journal of clinical pharmacology.

[31]  Alessandro Bertuzzi,et al.  Intestinal transit of a glucose bolus and incretin kinetics: a mathematical model with application to the oral glucose tolerance test. , 2011, American journal of physiology. Endocrinology and metabolism.