Publications of Andrea De Gaetano

This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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Show all publications of the year  2006, with author De Gaetano A., in the category IASI Research Reports (or show them all):


IASI Research Report n. 647  (Next)  

Palumbo P., Ong-Clausen W.H., Simona Panunzi, De Gaetano A.

Analysis of an impulsive model of subcutaneously delivered insulin kinetics

ABSTRACT
This work proposes a pair of models for subcutaneous (sc) insulin kinetics. Three sc injections are considered over a 24 hour time period. Each injection delivers both fast and slow insulin, so that a third order system is built, whose components are the fast and slow sc masses of insulin and the plasma insulin concentration. The insulin injections are modeled as impulsive inputs. ODE (Ordinary Differential Equation) models can be written when neglecting the delays in the absorption of insulin from the sc injections to the plasma circulation. Two linear, time-varying, periodic models have been presented, both taking into account that different absorption rates are associated with different times of a 24 hour time period. One model consists of a variable structure system, switching among three linear working modes, according to the injection times. The other treats the time-varying absorption rate as an harmonic function. The qualitative behavior of the solutions is investigated in both the cases, showing positivity, boundedness and global stability of solutions. As far as the statistical identifiability of the models is concerned, it has also been proven the global identifiability of the switching linear model, according to a suitably defined set of experiments, while a rank condition is given to check local identifiability of the other periodic model. Key words: Insulin absorption, Mathematical modeling, Insulin delivery, Identifiability.
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