Blood Glucose Control Using Differential Equations Systems for Patients with Diabetes Type 1

Author Ilea Mihai
Co-Author Turnea Marius, Rotariu Mariana, Arotaritei Dragos, Ionite Catalin
DOI

Country : Romania
Subject : Medical Biosciences

Keywords : Glucose;Insulin;Differential Systems;Diabets

Abstract

Diabetes has become a real pandemic of this century, with an increasing prevalence and incidence in all countries, be them poor, developing or prosperous. Medium and long term epidemiological estimations are disturbing due to the alarming increase of the diabetic population which, in 2030, is estimated to reach 360 million people. In Romania, the incidence of diabetes is 11.6% among adult population between 20 and 79 years old and 3% in case of children aged 0 to14 years. The mathematical model presented refers mainly to the dynamic of glucose and insulin. The analysis was made on both healthy subjects and on various types of patients diagnosed with diabetes. The data used in this study were collected from subjects diagnosed with type 1 diabetes, using the FreeStyle Libre glycemic sensor. We took into consideration the daily glycemic means during a period of 15 days to observe the variability of glucose in the blood in relation to the quantity of insulin administered. The entry data, based on which the statistical study was performed, were collected from diabetic patients. They adapted their insulin doses depending on the physical activity and the food quantity. The graphic representations showed that insulin absorption is a complex process influenced by many factors, including the type of insulin, the injected volume, concentration, place of injection and blood flow in the tissues.

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