Mathematical analysis of blood glucose and plasma insulin responses to insulin infusion in healthy and diabetic subjects

Tada Yipintsoi, Laël C. Gatewood, Eugene Ackerman, Patricia L. Spivak, George D. Molnar, John W. Rosevear, F. John Service

Research output: Contribution to journalArticle

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Abstract

The blood glucose and plasma insulin responses during slow intravenous infusion of insulin in six normal and seven diabetic subjects were fitted to a previously described model utilizing four first-order rate constants for the glucose-insulin interactions. Certain lumped parameters of the model were shown to be characteristic of the subjects' responses and abnormalities. The predicted values of blood glucose and plasma insulin can be made to approximate the actual measurement in all subjects. Additional studies are proposed to delineate further the range of applicability of the model and to characterize diabetic instability.

Original languageEnglish (US)
Pages (from-to)71-78
Number of pages8
JournalComputers in Biology and Medicine
Volume3
Issue number1
DOIs
StatePublished - Apr 1973

Keywords

  • Blood glucose
  • Computer simulation
  • Diabetes
  • Insulin infusion
  • Mathematical model
  • Optimizing search routine
  • Plasma insulin

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    Yipintsoi, T., Gatewood, L. C., Ackerman, E., Spivak, P. L., Molnar, G. D., Rosevear, J. W., & John Service, F. (1973). Mathematical analysis of blood glucose and plasma insulin responses to insulin infusion in healthy and diabetic subjects. Computers in Biology and Medicine, 3(1), 71-78. https://doi.org/10.1016/0010-4825(73)90021-8