Modeling Blood Glucose Levels

It is proposed that the kinetics of the reaction steps are first order, so that and , where is the concentration of carbohydrates in the stomach and is the concentration of glucose in the blood. is the baseline value of at time . After an average meal, mg/dL and mg/dL. The rate constant is related to how quickly the food is digested, while the rate constant is associated with how quickly insulin is released.

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Special thanks to the University of Illinois NetMath program, the Mathematics department at William Fremd High School and Mr. Grattoni.
Reference
[1] C. Estela, "Blood Glucose Levels," Undergraduate Journal of Mathematical Modeling: One + Two, 3(2), 2011 Article 12. doi:10.5038/2326-3652.3.2.12.
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