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.
Special thanks to the University of Illinois NetMath program, the Mathematics department at William Fremd High School and Mr. Grattoni.
 C. Estela, "Blood Glucose Levels," Undergraduate Journal of Mathematical Modeling: One + Two, 3(2), 2011 Article 12. doi:10.5038/2326-36188.8.131.52.