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 journalArticlepeer-review

19 Scopus citations

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
Externally publishedYes

Bibliographical note

Funding Information:
*From the Mayo Clinic and Mayo Foundation, Rochester, Minnesota (Drs. Yipintsoi, Molnar, Service and Miss Spivak), and from the division of Health Computer Sciences, University of Minnesota, Minneapolis, Minnesota (Drs. Gatewood, Ackerman and Rosevear). tThis investigation was supported in part by Research Grants HL-43128, RR-7, and RR-267 from the National Institutes of Health. Dr. Yipintsoi was the recipient of Special Fellowship Award HL-43128 from the National Institutes of Health.

Keywords

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

Fingerprint

Dive into the research topics of 'Mathematical analysis of blood glucose and plasma insulin responses to insulin infusion in healthy and diabetic subjects'. Together they form a unique fingerprint.

Cite this