Modeling Blood Glucose Levels

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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.
Contributed by: Kevin Chen (July 2017)
Open content licensed under CC BY-NC-SA
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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.
Permanent Citation
"Modeling Blood Glucose Levels"
http://demonstrations.wolfram.com/ModelingBloodGlucoseLevels/
Wolfram Demonstrations Project
Published: July 3 2017