Bulletin of Mathematical Biology

, Volume 40, Issue 1, pp 59–77 | Cite as

The role of glucagon in the regulation of blood glucose: Model studies

  • Ruby Celeste
  • Eugene Ackerman
  • Laël C. Gatewood
  • Clayton Reynolds
  • George D. Molnar


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.


Blood Glucose Glucagon Hypoglycemia Oral Glucose Tolerance Test Ruby 
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Copyright information

© Society for Mathematical Biology 1978

Authors and Affiliations

  • Ruby Celeste
    • 1
  • Eugene Ackerman
    • 1
  • Laël C. Gatewood
    • 1
  • Clayton Reynolds
    • 2
  • George D. Molnar
    • 3
  1. 1.Health Computer SciencesUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of MedicineUniversity of British ColumbiaVancouverCanada
  3. 3.Department of MedicineUniversity of AlbertaEdmontonCanada

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