A discrete delay-differential model of the glucose-insulin system is presented, representing the Intra-Venous Glucose Tolerance Test and allied experimental procedures of diabetological interest. The model ensures unique positive bounded solutions for any positive initial condition, and provides a unique equilibrium point. Conditions are given on the physical parameters in order to ensure the local asymptotic stability of the equilibrium point. These conditions are always satisfied, given the actual parameter estimates obtained experimentally. A study of the global stability properties is also performed.
Palumbo, P., Panunzi, S., De Gaetano, A. (2006). Stability analysis of a discrete-delay model of the glucose-insulin system. In Proc. 6th IFAC Workshop on Time Delay Systems (TDS2006) [10.3182/20060710-3-IT-4901.00038].
Stability analysis of a discrete-delay model of the glucose-insulin system
Palumbo, P;
2006
Abstract
A discrete delay-differential model of the glucose-insulin system is presented, representing the Intra-Venous Glucose Tolerance Test and allied experimental procedures of diabetological interest. The model ensures unique positive bounded solutions for any positive initial condition, and provides a unique equilibrium point. Conditions are given on the physical parameters in order to ensure the local asymptotic stability of the equilibrium point. These conditions are always satisfied, given the actual parameter estimates obtained experimentally. A study of the global stability properties is also performed.
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2006-05 IFAC Workshop on TDS-L'Aquila - Stability Analysis of a Discrete-DDE Model of the Glucose-Insulin System - Speaker.pdf
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