Symbol | Description | Assumed value |
---|---|---|
k 1 | Positive parameter concerning contribution of hepatic glucose state to hepatic glucose production in Equation 10 | 1.0 |
k 2 | Positive parameter concerning contribution of hepatic insulin state to hepatic glucose production in Equation 10 | 0.005 |
k 3 | Positive parameter concerning contribution of hepatic glucagon state to hepatic glucose production in Equation 10 | 0.25 |
k 4 | Positive parameter concerning contribution of local glucose state to glucose utilization by peripheral tissue in Equation 11 | 0.001 |
k 5 | Positive parameter concerning contribution of local insulin state to glucose utilization by peripheral tissue in Equation 11 | 0.001 |
k 6 | Positive parameter concerning contribution of local glucose state to insulin secretion within the pancreatic mass compartment in Equation 18 | 1.0 |
k 7 | Positive parameter concerning contribution of local glucagon state to insulin secretion within the pancreatic mass compartment in Equation 18 | 0.01 |
k 8 | Positive parameter concerning contribution of local insulin state to insulin removal from insulin-sensitive tissue in Equation 19 | 0.03 |
k 9 | Positive parameter concerning contribution of local glucose state to glucagon secretion within the pancreatic mass compartment in Equation 27 | 0.01 |
k 10 | Positive parameter concerning contribution of local insulin state to glucagon secretion within the pancreatic mass compartment in Equation 27 | 0.1 |
| Maximum value of glucose concentration in the brain blood compartment at the steady state in equations 4 and 21 | 1.0 |
| Minimum value of glucose concentration in the brain blood compartment at the steady state in equations 4 and 21 | 0.8 |
κ G | Gain in Equation 5 | 0.3 |
κ I | Gain in Equation 22 | 0.1 |
Ï„ G | Time constant in Equation 5 | 1200 |
Ï„ I | Time constant in Equation 22 | 1200 |
a cg | Positive parameter concerning contribution of central glucose state to the controlled error in Equation 30 | 4.0 |
a ci | Positive parameter concerning contribution of central insulin state to the controlled error in Equation 30 | 0.004 |
a pg | Positive parameter concerning contribution of peripheral glucose state to the controlled error in Equation 30 | 0.02 |
k γ | Positive parameter concerning signal regulating hepatic glucose production in Equation 31 | 0.0001 |
k β | Negative parameter concerning signal regulating insulin secretion in Equation 31 | -0.1 |
k α | Positive parameter concerning signal regulating glucagon secretion in Equation 31 | 100.0 |