Skip to main content
Log in

Adequacy of measurements in compartmental modelling of metabolic systems

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

The adequacy of present-day measurement techniques for the compartmental modelling of metabolic systems is investigated using numerical examples and analysis of experimentally-obtained plasma clearance curves. It is concluded that the model parameters obtained are often of questionable accuracy. The situation can be improved by careful monitoring of experimental conditions and judicious spacing of data points on the response curve, but the work shows a clear need for a continuous (or semicontinuous) method of monitoring plasma concentration. To resolve ambiguities between models equally plausible on physiological grounds, it is necessary to monitor the dynamics of internal variables, for example, of the concentration in the liver (which is nowadays possible noninvasively).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bekey, G. A., Ung, M. T. andKaruza, S. (1974) Observations on some commonly-used methods for identification of parameters in linear systems.Simulation. Sept. 1974, 69–75.

  • Bellman, R. andÅström, K. J. (1970) On structural identifiability.Math. Biosciences,7, 329–339.

    Article  Google Scholar 

  • Berk, P. D., Howe, R. B., Bloomer, J. R. andBerlin, N. I. (1969) Studies of bilirubin kinetics in normal adults.J. Clin. Invest.,48, 2176–2190.

    Google Scholar 

  • Berk, P. D., Bloomer, J. R., Howe, R. B. andBerlin, N.I. (1970) Constitutional hepatic dysfunction (Gilbert's Syndrome).Amer. J. Med. 49, 296–305.

    Google Scholar 

  • Brown, R. F., Godfrey, K. R. andKnell, A. (1979) Compartmental modelling based on methionine tolerance test data: a case study.Med. & Biol. Eng. 17, 223–229

    Google Scholar 

  • Bowdler, A. J. (1969) Regional variations in the proportion of red cells in the blood in man.Brit. J. Haem. 16, 557–571.

    Google Scholar 

  • Carson, E. R. andFinkelstein, L. (1977) General problems of validation of control system models in physiology. IFAC symposium on control mechanisms in bio, and ecosystems, Leipzig, Sept. 12–16, 1977.

  • Cobelli, C., Frezza, M. andTibibelli, C. (1975) Modelling, identification and parameter estimation of bilirubin kinetics in normal, hemolytic and Gilbert's states.Computers & Biomed. Res.,8, 522–537.

    Article  Google Scholar 

  • Cobelli, C. andRomanin-Jacur, G. (1976) Control-lability, observability and structural identifiability of multi-input and multi-output biological compartmental systems.IEEE Trans. BME-23, 93–100.

    Google Scholar 

  • DiStefano, J. J. (1976) Tracer experiment design for unique identification of nonlinear physiological systems.Amer. J. Physiol.,230, 476–485.

    Google Scholar 

  • DiStefano, J. J. andCampfield, L. A. (1977) Activity report 1976–77 of the Biocybernetics Laboratory. School of Engineering and Applied Science, UCLA, California.

  • Gibaldi, M. andPerrier, D. (1975)Pharmacokinetics, Marcel Dekker Publications, New York.

    Google Scholar 

  • Jacquez, J. A. (1972)Compartmental analysis in biology and medicine, Elsevier Publishing Company.

  • Jones, E. A., Bloomer, J. R., Berk, P. D., Carson, E. R., Owens, D. andBerlin, N. I. (1977)The quantitation of hepatic bilirubin synthesis in man InBerk, P. D. andBerlin, N. I. (Ed.)The chemistry and physiology of bile pigments, US Department of Health, Education and Welfare, Washington DC, US Government Printing Office, 1977, 189–205.

    Google Scholar 

  • Owens, D., Jones, E. A. andCarson, E. R. (1977) Studies on the kinetics of unconjugated14C bilirubin metabolism in normal subjects and patients with compensated cirrhosis.Clin. Sci. Molec. Med. 52, 555–570.

    Google Scholar 

  • Owens, D. (1977) Private communication.

  • Ranjbaran, E. andMcLaren, R. W. (1976) Modelling, testing, simulation and optimization of digitalis pharmacokinetics, Proceedings of the IEEE International conference on cybernetics and society, Washington, 1976, 361–367.

  • Sterling, K. andGray, S. J. (1950) Determination of the circulating red cell volume in man by radioactive chromium.J. Clin. Invest. 29, 1614–1619.

    Article  Google Scholar 

  • Zazworsky, R. M. andKnudsen, H. K. (1977) Comments onCobelli andRomanin-Jacur (1976),IEEE Trans.,BME-24, 495–496.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, R.F., Carson, E.R., Finkelstein, L. et al. Adequacy of measurements in compartmental modelling of metabolic systems. Med. Biol. Eng. Comput. 17, 216–222 (1979). https://doi.org/10.1007/BF02440932

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02440932

Keywords

Navigation