Abstract
Mathematical models afford a procedure of unifying concepts and hypotheses by expressing quantitative relationships between observables. The model presented indicates the roles of both insulin and glucagon as regulators of blood glucose, albeit in different ranges of the blood glucose concentrations. Insulin secretion is induced during hyperglycemia, while glucagon secretion results during hypoglycemia. These are demonstrated by simulations of a mathematical model conformed to data from the oral glucose tolerance test and the insulin infusion test in normal control subjects and stable and unstable diabetic patients. The model studies suggest the parameters could prove of value in quantifying the diabetic condition by indicating the degree of instability.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 59-77 |
| Number of pages | 19 |
| Journal | Bulletin of mathematical biology |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1978 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work is based in part on work included in an M.S. thesis "Models for the Regulation of Glucose Metabolism in Normal and Diabetic Subjects" submitted by R. Celeste to the Graduate School of the University of Minnesota, 1977. The work was partially supported by grants RR-00267 and LM-00160 from the National Institutes of Health, as well as one from the Bohn-Endicott Foundation of Detroit, Michigan.
