Tesis (doctorados)

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Simulation & control in type 1 diabetes
(2015) Colmegna, Patricio; Sánchez-Peña, Ricardo
"The study of Type 1 Diabetes has grown exponentially over the years. Thus, a huge number of scientic articles that are focused on this disease can be found. In this thesis, two issues are mainly addressed. Firstly, the most relevant mathematical models that describe the insulin-glucose dynamics are analysed. Through that analysis, the main features of these models are presented, and their advantages and disadvantages are described. Also, several inconsistencies that appear in previous works are pointed out. On the other hand, different control algorithms that are aimed towards maintaining the glucose levels in a safe region are studied. The main challenge is to obtain a controller that achieves safe blood glucose control, despite issues like actuator saturation, measurement noise and high inter- and intra-subject variability. Due to the fact that an articial pancreas scheme involves glucose measurement and insulin infusion through the subcutaneous route, there are delays that make the control problem even more challenging. In addition, in order to minimise the patient self-management of his/her disease, it is assumed that meals are unannounced, i.e., the controller does not receive any warning related to meal times or meal sizes either."