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 |

τ
_{G}
| Time constant in Equation 5 | 1200 |

τ
_{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 |