The bulletin of mathematical biophysics

, Volume 33, Issue 3, pp 451–462 | Cite as

Anin numero study of glucose-insulin interaction

  • Torcom Chorbajian
  • Bruce Coull
  • James Coull


A mathematical model has been developed to simulate the glucose-insulin interaction following a glucose load such as occurs in an IVGTT. This model differs from earlier models in that the insulin response to glucose loading is a recurring all or none threshold response. The model has been simulated on a digital computer using the digital analog simulation language CSMP.


Insulin Release Insulin Response Refractory Period Glucose Load Initial Release 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Ackerman, E., J. W. Rosevear and W. F. McGuckin. 1964. “A Mathematical Model of the Glucose-tolerance Test.”Physics in Medicine and Biology,9, 203–213.CrossRefGoogle Scholar
  2. —, L. C. Gatewood, J. W. Rosevear and G. D. Molnar. 1965. “Model Studies of Blood Glucose Regulation”Bull. Math. Biophysics,27, Special Issue, 21–37.Google Scholar
  3. Basabe, J., N. Lopex, J. Viktora and F. Wolff. 1970. “Studies of Insulin Secretion in the Perfused Rat Pancreas: Effect of Diazoxide and A025.”Diabetes,19, 271–281.Google Scholar
  4. Bolie, V. W. 1961. “Coefficients of Normal Blood Glucose Regulation,”J. Applied Physiology,16, 783–788.Google Scholar
  5. Buchanan, K. D. and M. T. McKiddie. (1967) “The Insulin Response to Glucose: A Comparison Between Oral and IV Tolerance Test.”J. Endocrinology,39, 13–18.CrossRefGoogle Scholar
  6. Cerasi, E., 1967. “An Analog Computer Model for the Insulin Response to Glucose Infusion.”Acta Endocrinologica,55, 163–183.Google Scholar
  7. Ceresa, F., G. Segre and A. Vitelli. 1962. “L’action de Cortisol sur la Cinetique de Glucose Sanguin Etudiee a L’aide D’une Nouvelle Methode Quantitative.”Actualites Endocrinologiques,3, 247–254.Google Scholar
  8. —, F. Ghemi, P. F. Martini, P. Martino, G. Segre and A. Vitelli. 1968. “Control of Blood Glucose in Normal and in Diabetic Subjects: Studies by Compartmental Analysis and Digital Computer Technics.”Diabetes,17, 570–578.Google Scholar
  9. CSMP (Continuous System Modeling Program),IBM Modeling Program (360A-CX-16X), Users Manual.Google Scholar
  10. Curry, D. L., L. L. Bennett and G. M. Grodsky. 1968. “Dynamics of Insulin Secretion by the Perfused Rat Pancreas.”Endocrinology,83, 572–584.CrossRefGoogle Scholar
  11. Gatewood, L. C., E. Ackerman, J. W. Rosevear, G. D. Molnar and T. W. Burns, 1968a. “Tests of a Mathematical Model of the Blood-Glucose Regulatory System.”Computers and Biomedical Research,2, 1–14.CrossRefGoogle Scholar
  12. ———, and —. 1968b. “Simulation Studies of Blood-Glucose Regulation: Effect of Intestinal Glucose Absorption.”Ibid.,,2, 15–27.CrossRefGoogle Scholar
  13. McIntyre, N., C. D. Holdsworth and D. S. Turner. 1964. “New Interpretation of Oral Glucose Tolerance.”Lancet,2, 20–21.CrossRefGoogle Scholar
  14. Norwich, K. H. 1969. “Mathematical Models of the Kinetics of Glucose and Insulin in Plasma.”Bull. Math. Biophysics,31, 105–121.MATHGoogle Scholar
  15. Norwich, K. H. 1969. “Mathematical Models of the Kinetics of Glucose and Insulin in Plasma.”Bull. Math. Biophysics,31, 105–121.MATHGoogle Scholar
  16. Porte, D. and A. A. Pupo. 1969. “Insulin Response to Glucose: Evidence for a Two Pool System in Man.”J. Clin. Invest.,48, 2309–2319.CrossRefGoogle Scholar
  17. Sieracki, J. C., T. S. Danowski, G. Sabeh and J. Spincher. 1970 “Individual Health Research Program Pilot Phase: Continuous Analysis of Multiple Blood Parameters. 2. Initial Human Feasibility Studies.” InAdvances in Automated Analysis Technicon International Congress, Vol. 1, 187–194, Clinical Research, White Plains, N.J.: Medical, Inc.Google Scholar
  18. Turner, D. S. and N. McIntyre. 1966. “Stimulation by Glucagon of Insulin Release from Rabbit Pancrease in Vitro.”Lancet,1, 351–352.CrossRefGoogle Scholar
  19. Varsano-Aharan, N., E. Echemedia, R. S. Yalow and S. A. Berson. 1970. “Early Insulin Responses to Glucose and to Tolbutamide in Maturity-onset Diabetes.”Metabolism,19, 409–417.CrossRefGoogle Scholar

Copyright information

© N. Rashevsky 1968

Authors and Affiliations

  • Torcom Chorbajian
    • 1
  • Bruce Coull
    • 2
  • James Coull
    • 3
  1. 1.Department of Mathematical MedicineMedical College of OhioUSA
  2. 2.School of MedicineUniversity of PittsburghUSA
  3. 3.Department of Chemical EngineeringUniversity of PittsburghUSA

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