## Beta 1

Title Model Predictive Control for Insulin Administration in People with Type 1 Diabetes
Author Nærum, Miriam M.N.
Supervisor Jørgensen, John Bagterp (Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark)
Institution Technical University of Denmark, DTU, DK-2800 Kgs. Lyngby, Denmark
Thesis level Bachelor thesis
Year 2010
Abstract People with type 1 diabetes are unable to regulate their blood glucose concentration because they do not produce insulin. The non-linear Hovorka model is used to simulate the responses of blood glucose concentration, when meals are consumed and insulin is injected subcutaneously. First the theory of the Hovorka model is presented, by describing the three parts of the model: Carbohydrate absorption from meals, subcutaneous insulin injection and absorption, and the gluco-regulatory system. Then model predictive control (MPC) is described. MPC-based algorithms attempt to regulate the blood glucose concentration by manipulating the insulin infusion rate based on predictions of future glucose trends. MPC can use three different prediction models: ARX, ARX, and EARX. The theory of these models is examined. Futhermore the theory of a possible improvement of MPC, asymmetric penalty function MPC, is derived. The Hovorka model is used to calculate the appropriate basal insulin infusion rate. This is the delivery rate of insulin that results in a steady-state glucose concentration at normaglycemia, the optimal glucose concentration level. From the calculation it is observed that the basal insulin infusion rate is linearly dependent on the weight of the patient. Next, the Hovorka model is used to inspect the importance of the duration of meals. It is evident that the glucose concentrations obtained, when a meal is consumed over long and short durations, are almost the same. In order to obtain a realistic view of the Hovorka model, simulations are made with meals from a typical day. First insulin boluses found with trial and error are used, and then simulations are made using MPC.
Imprint Technical University of Denmark (DTU) : Kgs. Lyngby, Denmark
Series IMM-B.Sc.-2010-29
Fulltext
 Original PDF bac10_29_net.pdf (1.43 MB)
Admin Creation date: 2010-07-01    Update date: 2010-07-01    Source: dtu    ID: 264517    Original MXD