Abstract
A simplified, linearized model of the system regulating blood-glucose concentrations is reviewed. This model, which predicts a damped sine wave response to an oral glucose load, lumps the large number of kinetic parameters into a much smaller number which can, at least in part, characterize the human glucose regulatory system. The predictions based on the model are compared with measurements of blood-glucose and blood-insulin concentrations during the oral glucose-tolerance test. Various other conditions are simulated and their implications are discussed in terms of the mathematical model used.
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Literature
Ackerman, Eugene, J. W. Rosevear, and W. F. McGuckin. 1964a. “A Mathematical Model of the Glucose-Tolerance Test.”Physics in Med. & Biol.,9, 203–213.
Ackerman, Eugene and Jane B. Hazelrig. 1964b. “Computer Applications to the Evaluation of Dynamic Biological Processes.” InDynamic Clinical Studies With Radioisotopes, R. M. Kniseley, W. N. Tauxe, and Elizabeth B. Anderson, Eds., pp. 19–53. U.S.A.E.C., Division of Technical Information, Report TID-7678.
Ackerman, Eugene, L. C. Gatewood, J. W. Rosevear, G. D. Molnar, and T. W. Burns. 1964c. “Conformation of a Mathematical Model of the Human Glucose Regulatory System.” (Abstr.)Proc. 17th Ann. Conf. Engineering in Med. & Biol.,6, 9.
Bergner, P.-E. E. 1964. “Kinetic Theory: Some Aspects on the Study of Metabolic Processes.” InDynamic Clinical Studies With Radioisotopes, R. M. Kniseley, W. N. Tauxe, and Elizabeth B. Anderson, Eds., pp. 1–18. U.S.A.E.C., Division of Technical Information, Report TID-7678.
Hazelrig, Jane B. 1964. “The Impact of High-Speed Automated Computation on Mathematical Models.”Mayo Clin. Proc.,39, 841–848.
Hazelrig, Jane B., Eugene Ackerman, and J. W. Rosevear. 1963. “An Iterative Technique for Conforming Mathematical Models to Biomedical Data.”Proc. 16th Ann. Conf. Engineering in Med. & Biol.,5, 8–9.
Hazelrig, Jane B., Eugene Ackerman, A. L. Orvis, and Eunice V. Flock. 1965. “Examples in Conforming Mathematical Models to Biomedical Data.”2nd Ann. Symp. on Biomath. & Computer Sc. in Life Sc. (May 1964). (In press.)
Moorhouse, J. A., J. Steinberg, and B. B. Tessler. 1963. “Effect of Glucose Dose Upon Intravenous Glucose Tolerance in Health and in Diabetes.”Jour. Clin. Endocrinol. & Metab.,23, 1074–1079.
Yalow, Rosalyn S., and S. A. Berson. 1960. “Immunoassay of Endogenous Plasma Insulin in Man.”Jour. Clin. Invest.,39, 1157–1175.
Zierler, K. L., and D. Rabinowitz. 1963. “Roles of Insulin and Growth Hormone, Based on Studies of Forearm Metabolism in Man.”Medicine,42, 385–402.
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Ackerman, E., Gatewood, L.C., Rosevear, J.W. et al. Model studies of blood-glucose regulation. Bulletin of Mathematical Biophysics 27 (Suppl 1), 21–37 (1965). https://doi.org/10.1007/BF02477259
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DOI: https://doi.org/10.1007/BF02477259