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
Symbol | Description | Unit |
|---|---|---|
G(t) | Plasma Glucose concentration at time t | mg /dl |
I(t) | Plasma Insulin concentration at time t | μU/ml |
X(t) | Interstitial Insulin activity at time t | min −1 |
Y(t) | Interstitial Glucagon activity at time t | min −1 |
E(t) | Plasma Glucagon concentration at time t | pg /ml |
Gb | Baseline plasma glucose concentration | mg /dl |
Ib | Baseline plasma insulin concentration | μU/ml |
Eb | Baseline plasma glucagon concentration | ng /l |
G0 | Theoretical value of plasma glucose concentration at time t=0 | mg /dl |
I0 | Theoretical value of plasma insulin concentration at time t=0 | μU/ml |
p1 | Glucose Effectiveness | min −1 |
p2 | Rate of clearance of interstitial insulin | min −1 |
p3 | Rate of excess plasma insulin stimulated glucose activity | min −2(μU/ml) −1 |
p4 | Rate of insulin disappearance from plasma | min −1 |
p5 | Rate of second phase insulin secretion (glucose dependent) | μU/ml min −2(mg /dl) −1 |
p6 | Rate of glucagon disappearance from plasma | min −1 |
p7 | Rate of excess plasma glucagon stimulated glucagon activity | ng /l min −2(mg /dl) −1 |
p8 | Rate of clearance of interstitial glucagon | min −1 |
p9 | Rate of excess plasma glucagon stimulated glucose activity | min −1(ng /l) −1 |
p11 | Maximum rate at which insulin suppresses glucagon secretion | ng /l min −1 |
δ | Glucagon effectiveness | mg /dl min −1 (ng /l) −1 |