University of Twente Student Theses


Towards the automatic control of blood glucose in patients with T1DM

Middelhuis, Niels (2017) Towards the automatic control of blood glucose in patients with T1DM.

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Abstract:The regulation of the blood glucose concentration is of vital importance for patients with type 1 diabetes mellitus (T1DM). To improve the quality of life of patients with T1DM, a control algorithm is needed that is able to automatically regulate the blood glucose concentration. This thesis presents an example of such a control algorithm. The control algorithm of interest can be characterized as an individualized fuzzy logic controller. Several different type of injections are used to imitate the reasoning of patients with T1DM. The goal of this thesis was to develop a mathematical model that can be used for the analysis of the control algorithm. The mathematical model is based on the theory of timed automata extended with the additional features provided by the tool Uppaal. In order to analyze the control algorithm as (ex�tended) timed automaton in Uppaal, a linear ARX model was estimated on available clinical data. This linear ARX model was used to simulate the blood glucose concentration based on the ingested amount of carbohydrates, the administered amount of insulin and the administered amount of glucagon. Both the model of the control algorithm and the blood glucose concentration were implemented in Uppaal and were used for the analysis of the control algorithm. This analysis showed that the control algorithm is initialized correctly, that it satisfies certain requirements for this initial setting and what the influence of a change in this initial setting is on different characteristics.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics MSc (60348)
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