MATHEMATICAL ANALYSIS OF INSULIN-GLUCOSE FEEDBACK SYSTEM OF DIABETIES

Mathematical models based on advanced differential equations are utilized to analyze the effect of insulin infusions in human body with the intent of determining better modes of treatment for the metabolism of glucose. We have incorporated the models of several prominent mathematicians in this work, with the particular emphasis on deriving the models, formulas and intent of their works. The purpose of which is to come to a greater understanding of the nature of their models in order to express their works in a more simplified and comprehensive way. This is so that those with little or no conceptual knowledge of these models can come to realize their methodology more easily and with more in-depth understanding. The three Insulin-Feedback models analyze the efficiency of Insulin in regulating glucose dependency upon how the insulin is introduced into the individual. The intent of all the models is to analyze the model of infusion upon the hypoglycemic attributes of glucose in the blood. The first (original) and second models analyses the mechanism of slow ultradian oscillation infusions of insulin into individuals with varying levels of infusion with respect to time. The third model utilizes a time delay over shor