Mathematical modeling of insulin response in encapsulated islets of Langerhans

Abstract: Transplantation of the islets of Langerhans is a promising technique for restoring the impairedinsulin production in brittle type 1 diabetics. The downside is that the patient will have to takeimmunosuppressant drugs in order to protect the islet cells from the immune system. Donorsare also sparse, making the quest of finding sufficient amounts of islets for transplantationhard. Encapsulation of the islets of Langerhans has been proposed as a means of protectingthe cells from the immune system taking away the need for immunosuppresives. The mostcommon encapsulation technique is extravascular capsules, which are categorized into micro-and macrocapsules. The microcapsules hold only one or a small set of islet whereas themacrocapsules hold a large quantity of islets.This thesis investigates the encapsulation impact on the beta-cells rapid insulin response torising plasma glucose levels. This was done by simulating the glucose-insulin system inMATLAB with included encapsulation of the islets. Two current macro-encapsulation set upswere used in the model, Beta-Air and ViaCyte devices, and they were compared against anormal case. The results showed that the Beta-Air device would not be able to restorenormoglycemia in a T1DM patient but rather showed a delay in insulin response, while theViaCyte device could mimic the normal case well.