Analyzing Ideal Blood Glucose and Insulin Levels

by Michael Katzen

Submitted : Spring 2012

Given the graph of the ideal values for Blood Glucose and Serum Insulin respectively, the value for Blood Glucose minus Serum Insulin was found and graphed. The graph of the difference was then analyzed using several methods. First, the critical points were identified and tested. They were found to be local minima that corresponded to breakfast, lunch, and dinner. Second, the time after dinner when the body enters a period of fasting was precisely determined by calculating the point of inflection at the parabola corresponding to dinner. Third, a linear function was found that could accurately describe the difference line during the over-night period of fasting. All of these trends have the potential to be used as diagnostic tools.

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