Abstract
The validation process is an essential component of the modelling ofin vivo endocrine and metabolic systems. In the paper a validation study of a comprehensive model of the glucose regulation system, previously developed for intravenous testing, is performed on a new data set based on oral glucose tolerance studies. A novel approach based on a ‘partition and input/output inversion’ technique which allows the full use of this new data set for validating a submodel of the previous model, instead of having to do an extra modelling effort, is presented. The necessity of a new description for a number of glucose unit processes emerges from this study. The new submodel has been successfully tested and incorporated into the comprehensive model. Although the approach presented has been developed and illustrated with reference to a specific case study, it may have wider applicability in developing appropriate validation strategies for complex physiological control systems.
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Bergman, R. N. andCobelli, C. (1980) Minimal modeling, partition analysis and the estimation of insulin sensitivity.Fed. Proc.,39, 110–115.
Bergman, R. N., Bortolan, G., Cobelli, C. andToffolo, G. (1980) Identification of a minimal model of glucose disappearance for estimating insulin sensitivity. InIdentification and system parameter estimation.Isermann, R. (Ed.), Proceedings of 5th IFAC Symposium, Darmstadt, Sept. 1979), Pergamon Press, oxford,2, 883–890.
Carson, E. R., Cobelli, C. andFinkelstein, L. (1981) Modeling and identification of metabolic systems.Am. J. Physiol.,240, R120-R129.
Cobelli, C. andRuggeri, A. (1983) Evaluation of portal/peripheral route and of algorithms for insulin delivery in the closed-loop control of glucose in diabetes. A modeling study.IEEE Trans.,BME-30, 93–103.
Cobelli, C., Federspil, G., Pacini, G., Salvan, A. andScandellari, C. (1982) An integrated mathematical model of the dynamics of blood glucose and its hormonal control.Math. Biosci.,58, 27–60.
Cobelli, C. andBergman, R. N. (Eds.) (1981)Carbohydrate metabolism period. Quantitative physiology and mathematical modelling. Wiley, Chichester.
De Fronzo, R. A., Ferrannini, E., Hendler, R. andWahren, J. (1978) Influence of hyperinsulinemia, hyperglicemia, and the route of glucose administration on splanchnic glucose exchange.Proc. Nat. Acad. Sci. USA,75, 5173–5177.
Felig, P. (1973) The glucose-alanine cycle.Metabolism,22, 179–207.
Felig, P., Wahren, J. andHendler, R. (1975) Influence of oral glucose ingestion on splanchnic glucose and gluconeogenic substrate metabolism in man.Diabetes,24, 468–475.
Ferrannini, E., Wahren, J., Felig, P. andDe Fronzo, R. A. (1980) The role of fractional glucose extraction in the regulation of splanchnic glucose metabolism in normal and diabetic man.Metabolism,29, 28–35.
Ganda, O. P., Day, J. L., Soeldner, J. S., Connon, J. J. andGleason, R. E. (1978) Reproducibility and comparative analysis of repeated intravenous and oral glucose tolerance tests.Diabetes,27, 715–725.
Hanna, A. K., Zinman, B., Nakhooda, A. F., Minuk, H. L., Stokes, E. F., Albisser, A. M., Leibel, B. S. andMarliss, E. B. (1980) Insulin, glucagon, and amino acids during glycemic control by the artificial pancreas in diabetic man.Metabolism,29, 321–332.
Radziuk, J., McDonald, T. J., Rubenstein, D. andDupre, J. (1978) Initial splanchnic extraction of ingested glucose in normal man.,27, 657–669.
Sherwin, R. S., Kramer, K. J., Tobin, J. D., Insel, P. A., Liljenquist, J. E., Berman, M. andAndres, R. (1974) A model of the kinetics of insulin in man.J. Clin. Invest.,53, 1481–1492.
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Cobelli, C., Mari, A. Validation of mathematical models of complex endocrine-metabolic systems. A case study on a model of glucose regulation. Med. Biol. Eng. Comput. 21, 390–399 (1983). https://doi.org/10.1007/BF02442625
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DOI: https://doi.org/10.1007/BF02442625