A Model of Insulin Glucose Concentration for Oral Ingestion of 75g of Glucose for Type I Diabetes Management

The regulation of glucose concentration in the body has triggered more often the stimulant approach. The hourly operation of insulin glucose dependent bodily functions has left many type I diabetic patients with a lot of pain. Doctors have proposed various measures such as oral ingestion of glucose to trigger insulin production to increase glucose uptake in the body. Such measures have not been mathematically modeled. In the current, a mathematical model formulating the concentration of glucose and insulin where extra glucose intake leads to extra stimulation of insulin production has been presented. The mathematical rigor such as the well posedness of the system indicated that the proposed model is applicable in real life applications. Numerical simulation indicates that both glucose and insulin concentration continuously increases, a sign of a need to find an optimal control strategy in order to manage type I diabetes. A sensitivity analysis showed a constant rate of insulin independent glucose disappearance is the most sensitive in the model. Optimal control investigation indicated that increasing the constant rate of insulin independent glucose disappearance is effective after 15th hour. Future studies need to consider including other parameters, such as glucose accelerated loss due to exercise in the system. Irene Melly Chebet | Rotich Titus | Bitok Jacob "A Model of Insulin-Glucose Concentration for Oral Ingestion of 75g of Glucose for Type-I Diabetes Management" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7 , December 2022, URL: https://www.ijtsrd.com/papers/ijtsrd52338.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/52338/a-model-of-insulinglucose-concentration-for-oral-ingestion-of-75g-of-glucose-for-typei-diabetes-management/irene-melly-chebet