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Study of age dependent half-life of iodine in man: A reinforcement-depletion urn model

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Abstract

An urn contains balls ofs different colors. The problem of the reinforcement of a specified color and random depletion of balls has been considered by Shenton (1981, 1983). In this paper, the theory is applied to the biological age dependent half-life of radioactive iodine in man; the data of Cook and Snyder (1965) is used. The intake of radioactive iodine and its retention subsequently is studied.

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Literature

  • Anderson, K. and V. R. Uppuluri 1976. “A Polya Urn Scheme.” Unpublished.

  • Berg, S. 1985. “urn Models.” InEncyclopedia of Statistical Sciences, Vol. 6, S. Kotz and N. L. Johnson (eds) New York: John Wiley.

    Google Scholar 

  • Bernard, S. R. 1977. “An Urn Model Study of Variability Within a Compartment.”Bull. math. Biol. 39, 463–470.

    Article  MATH  MathSciNet  Google Scholar 

  • Cook, M. J. and W. S. Snyder. 1965. “Age Dependence of the Biological Half-life of Iodine and Cesium in Man.” ORNL-3849, 190–193.

  • Johnson, N. L. and S. Kotz. 1970.Continuous Univeriate Distribution, Vol. 1. New York: John Wiley.

    Google Scholar 

  • — and —. 1977.Urn Models and Their Application, New York: John Wiley

    Google Scholar 

  • Shenton, L. R. 1981. “A Reinforcement Depletion Urn Problem—I: Basic Theory.”Bull. math. Biol.,43, 327–340.

    MATH  MathSciNet  Google Scholar 

  • —. 1983. “A Reinforcement Depletion Urn Problem—II: Application and Generalization.”Bull. math. Biol.,45, 1–9.

    Article  MATH  MathSciNet  Google Scholar 

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Research sponsored by the Office of Health and Environmental Research, Office of Energy Research, U.S. Department of Energy under contract DE-AC05-840R21400 with the Martin Merietta Energy Systems. Inc.

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Bowman, K.O., Shenton, L.R. & Bernard, S.R. Study of age dependent half-life of iodine in man: A reinforcement-depletion urn model. Bltn Mathcal Biology 47, 205–213 (1985). https://doi.org/10.1007/BF02460031

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  • DOI: https://doi.org/10.1007/BF02460031

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