The purpose of this study was to establish a mathematical model which can be used to estimate glucose levels in the blood over time. The equations governing this process were manipulated with the use of techniques such as separation of variables and integration of first order differential equations, which resulted in a function that described the glucose concentration in terms of time. This function was then plotted, which allowed us to find when glucose concentration was at its highest. The model was then used to analyze two cases where the maximum glucose level could not exceed a certain level while the amount of carbohydrates and glycemic index were varied, independently.
"Blood Glucose Levels,"
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 12.
DOI: http://dx.doi.org/10.5038/2326-36188.8.131.52 Available at: http://scholarcommons.usf.edu/ujmm/vol3/iss2/12
Masahiko Saito, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering