Table 4 Definition of the symbols in the Minimal Model
From: A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test
Symbol | Units | Definition |
|---|---|---|
t | [min] | time after the glucose bolus |
G(t) | [mM] | blood glucose concentration at time t |
X(t) | [min-1] | auxiliary function representing insulin-excitable tissue glucose uptake activity, proportional to insulin concentration in a "distant" compartment |
Gb | [mM] | subject's basal (pre-injection) glycemia |
Ib | [pM] | subject's basal (pre-injection) insulinemia |
b0 | [mM] | theoretical glycemia at time 0 after the instantaneous glucose bolus |
b1 | [min-1] | glucose mass action rate constant, i.e. the insulin-independent rate constant of tissue glucose uptake, "glucose effectiveness" |
b2 | [min-1] | rate constant expressing the spontaneous decrease of tissue glucose uptake ability |
b3 | [min-2 pM-1] | insulin-dependent increase in tissue glucose uptake ability, per unit of insulin concentration excess over baseline insulin |
SI (b3/b2) | [min-1 pM-1] | insulin sensitivity index and represents the capability of tissue to uptake circulating plasma glucose |