Abstract
A mathematical model of the glucose-insulin control mechanism which incorporates the role of β-cells and time-delays is investigated. An analysis of the model is carried out by relying on the Hopf bifurcation theory in order to derive the conditions under which the system permits different dynamical behavior including the existence of periodic solutions. A genetic algorithm is utilized to find an optimal set of parametric values for which the simulated curve best fits our experimental glycemia data.
| Original language | English |
|---|---|
| Pages (from-to) | e1048-e1058 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 71 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 15 Dec 2009 |
Keywords
- Delay differential equations
- Glucose-insulin feedback mechanism
- Nonlinear mathematical model
- β-cells
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