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.
Oral 75g glucose intake, Glucose concentration, Insulin Concentration, Insulin Stimulant
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