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Table 2 Tested models and relative average Akaike information Criterion (AIC).

From: A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test

Model

Desciption

Free parameters

Average AIC

A

Without first order plasma glucose elimination (Kxg) and without delay on insulin action (Ï„i)

Vg, IΔ, τg, KxgI, Kxi, γ

383.90

B

With first order plasma glucose elimination (Kxg) and without delay on insulin action (Ï„i)

Vg, IΔ, τg, KxgI, Kxi, γ, Kxg

386.72

C

Without first order plasma glucose elimination (Kxg) and with delay on insulin action (Ï„i)

Vg, IΔ, τg, KxgI, Kxi, γ, Kxg, τi

385.95

D

With first order plasma glucose elimination (Kxg) and with delay on insulin action (Ï„i)

Vg, IΔ, τg, KxgI, Kxi, γ, Kxg, Kxg, τi

389.03

  1. The four models studied differ according to the presence or absence of an insulin-independent glucose elimination rate term (-Kxg G) and according to the presence or absence of an explicit delay in the action of insulin in stimulating tissue glucose uptake (I(t-Ï„i) instead of I(t)). The model that does not include either one of these two features was named model A; model B includes the term (-KxgG); model C uses I(t-Ï„i) instead of I(t); model D includes both.