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Two new formulations, respectively denominated INT_M1 and INT_M2, of an integrated mathematical model to describe the glycemic and insulinemic responses to a 75g oral glucose tolerance test (OGTT) are proposed and compared. The INT_M1 assumes a single compartment for the intestine and the derivative of a power exponential function for the gastric emptying rate, while, in the INT_M2, a nonlinear three-compartment system model is adopted to produce a more realistic, multiphase gastric emptying rate. Both models were implemented in a Matlab-based, two-step procedure for estimation of seven adjustable coefficients characterizing the gastric emptying rate and the incretin, insulin and glucose kinetics. Model behaviour was tested vs. mean plasma glucagon-like peptide 1 (GLP-1), glucose-dependent insulinotropic polypeptide (GIP), glucose and insulin measurements from two different laboratories, where glycemic profiles observed during a 75g OGTT were matched in healthy subjects (HC1- and HC2-group, respectively) by means of an isoglycemic intravenous glucose (I-IVG) infusion. Under the hypothesis of an additive effect of GLP-1 and GIP on insulin potentiation, our results demonstrated a substantial equivalence of the two models in matching the data. Model parameter estimates showed to be suitable markers of differences observed in the OGTT and matched I-IVG responses from the HC1-group compared to the HC2-group. Model implementation in our two-step parameter estimation procedure enhances the possibility of a prospective application for individualization of the incretin effect in a single subject, when his/her data are plugged in. [ABSTRACT FROM AUTHOR]

Abstract: Role of hepatic insulin degradation in modulating insulin delivery to peripheral circulation, in insulin-resistant hypertensive patients, is not yet fully understood. This issue was investigated here by a novel application to hypertension of a previously proposed minimal modelling of insulin and C-peptide data, using population values for insulin and C-peptide kinetics parameters. Data, from frequently sampled intravenous glucose tolerance test (FSIGTT), were analysed in ten normoglycemic, hypertensive patients (H-group), compared with eight normoglycemic, normotensive subjects (N-group), matched for age, gender and body mass index. Minimal modelling of C-peptide and insulin data provided β-cell responsiveness to glucose perturbation (first, Φ 1, second, Φ 2, and basal, Φ b , phase), insulin secretion rate, ISR(t) and total pre-hepatic insulin secretion, TIS, as well as insulin delivery rate, IDR(t), and total insulin delivery, TID, into plasma, over 5-h test. Instantaneous normalized hepatic insulin degradation rate was computed as HIDR(t)=1−[IDR(t)/ISR(t)]. In our H-group, insulin sensitivity, S I , assessed by minimal model of glucose kinetics, showed a 56% reduction, which confirmed deterioration of insulin action in hypertension. This was associated with significant increase in Φ 1 (105%), TIS (55%) and TID (62%). No significant alterations were observed in other characteristic parameters of secretion and hepatic degradation of insulin, such that no significant difference was observed in HIDR(t) between our H and N groups. In conclusion, an increase of first phase and total insulin secretion occurring, in our H-group, in the presence of no alteration of hepatic insulin degradation, resulted in up-regulation of total insulin delivered to plasma (TID) for insulin-resistance compensation. [Copyright &y& Elsevier]