Theory and Modern Applications
Table 1 Meaning of the parameters used in the model of glucose–insulin interaction in Eq. (3)
From: Bifurcations in a delayed fractional model of glucose–insulin interaction with incommensurate orders
Parameter | Meaning |
|---|---|
\(a_{1}\) | Insulin-independent constant of tissue glucose uptake rate |
\(a_{2}\) | Apparent first-order disappearance rate constant for insulin |
\(a_{3}\) | Constant measuring the insulin-dependent glucose disappearance rate per unit [pM] of plasma insulin concentration |
\(a_{4}\) | Reciprocal of the half-saturation constant of plasma glucose |
\(a_{5}\) | Second-phase pancreatic insulin release rate constant in mg/dl of the average plasma glucose concentration throughout the previous τ minutes |
\(a_{6}\) | Constant increase rate in plasma glucose concentration due to constant baseline liver glucose release |
τ | Number of minutes of the past period whose plasma glucose concentrations influence the current pancreatic insulin secretion |