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Transfer times across the human body

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Abstract

The radioactivity disappearance curves of glucose-6-14C albumin-I131 after a single injection of tracer into a human subject have been determined in detail, particularly at early time intervals. The curves, expressed as sums of exponentials, have been analyzed as the infinite sum of convolutions of single passage time densities. The resultant transfer time distribution of a single circulatory pass allows examination of all delays in the system no matter how long they take. The structural detail evident by this means and the long mean time of a single pass of glucose (>5 min) supports the thesis that factors other than rapid and uniform diffusion play a role in the extravascular movements of glucose molecules.

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Literature

  • Berman, M., E. Shanan and M. F. Weiss. 1962. “The Routine Fitting of Kinetic Data to Models: A Mathematical Formalism for Digital Computers.”Biophysical J.,2, 275–287.

    Article  Google Scholar 

  • Cox, D. and H. Miller. 1965.The Theory of Stochastic Processes. New York: Wiley and Sons.

    MATH  Google Scholar 

  • Goresky, C. A. and G. G. Bach. 1970. “Membrane Transport and the Hepatic Circulation.”Ann. N.Y. Academy Science,170, 18–47.

    Google Scholar 

  • Hart, H. E. 1967. “Analysis of Tracer Experiments: VIII. Integro-differential Equation Treatment of Partly Accessible, Partly Injectable Multicompartment Systems.”Bull. Math. Biophysics,29, 319–333.

    Google Scholar 

  • Landis, E. M. and J. R. Pappenheimer. 1963. “Exchange of Substances Through the Capillary Walls.” InHandbook of Physiology, Cir.,2, 961–1034.

  • Robertson, J. S. 1957. “Theory and Use of Tracers in Determining Transfer Rates in Biological Systems.”Physiological Reviews,37, 133–154.

    Google Scholar 

  • Segal, S., M. Berman and A. Blair. 1961. “The Metabolism of Variously C14-labeled Glucose in Man and an Estimation of the Extent of Glucose Metabolism by the Hexose Monophosphate Pathway.”J. Clin. Invest.,40, 1263–1279.

    Google Scholar 

  • Sheppard, C. W. 1962. “Basic Principles of the Tracer Method.” New York: Wiley and Sons.

    Google Scholar 

  • Stephenson, J. L. 1960. “Theory of Transport in Linear Biological Systems: I. Fundamental Integral Equation.”Bull. Math. Biophysics,22, 1–138.

    MathSciNet  Google Scholar 

  • Waterhouse, C. and J. Kemperman. 1966. “Changes in Oxidative Metabolism with Glucose Ingestion.”J. Lab. Clin. Med.,68, 250–264.

    Google Scholar 

  • —, N. Baker and H. Rostami. 1969a. “Effect of Glucose Ingestion on the Metabolism of Free Fatty Acids in Human Subjects.”J. Lipid. Res.,10, 487–494.

    Google Scholar 

  • —, and J. Keilson 1969b. “Cori Cycle Activity in Man.”J. Clin. Invest.,48, 2359–2366.

    Article  Google Scholar 

  • Zierler, K. 1962. “Circulation Times and the Theory of Indicator-Dilution Methods for Determining Blood Flow and Volume.” InHandbook of Physiology, Cir.1, 585–615.

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Authors and Affiliations

  1. Department of Medicine, University of Rochester, School of Medicine and Dentistry, Rochester, New York

    Christine Waterhouse

  2. Department of Statistics, University of Rochester, College of Arts and Sciences, Rochester, New York

    Julian Keilson

Authors
  1. Christine Waterhouse
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  2. Julian Keilson
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Additional information

This study was supported by Public Health Service Grants CA 07123 from the National Cancer Institute and RR 00044 from the Division of Research Facilities and Resources, N.I.H.

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Waterhouse, C., Keilson, J. Transfer times across the human body. Bulletin of Mathematical Biophysics 34, 33–44 (1972). https://doi.org/10.1007/BF02477022

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  • DOI: https://doi.org/10.1007/BF02477022

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