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Table 1 A description of the different variables and parameters that appear within both the LGMM and NLGMM

From: Modelling the effects of glucagon during glucose tolerance testing

SymbolDescriptionUnit
G(t)Plasma Glucose concentration at time tmg /dl
I(t)Plasma Insulin concentration at time tμU/ml
X(t)Interstitial Insulin activity at time tmin −1
Y(t)Interstitial Glucagon activity at time tmin −1
E(t)Plasma Glucagon concentration at time tpg /ml
GbBaseline plasma glucose concentrationmg /dl
IbBaseline plasma insulin concentrationμU/ml
EbBaseline plasma glucagon concentrationng /l
G0Theoretical value of plasma glucose concentration at time t=0mg /dl
I0Theoretical value of plasma insulin concentration at time t=0μU/ml
p1Glucose Effectivenessmin −1
p2Rate of clearance of interstitial insulinmin −1
p3Rate of excess plasma insulin stimulated glucose activitymin −2(μU/ml) −1
p4Rate of insulin disappearance from plasmamin −1
p5Rate of second phase insulin secretion (glucose dependent)μU/ml min −2(mg /dl) −1
p6Rate of glucagon disappearance from plasmamin −1
p7Rate of excess plasma glucagon stimulated glucagon activityng /l min −2(mg /dl) −1
p8Rate of clearance of interstitial glucagonmin −1
p9Rate of excess plasma glucagon stimulated glucose activitymin −1(ng /l) −1
p11Maximum rate at which insulin suppresses glucagon secretionng /l min −1
δGlucagon effectivenessmg /dl min −1 (ng /l) −1