×

Study of age dependent half-life of iodine in man: A reinforcement- depletion urn model. (English) Zbl 0574.92005

An urn contains balls of s different colors. The problem of the reinforcement of a specified color and random depletion of balls has been considered by the second author [ibid. 43, 327-340 (1981; Zbl 0455.60016) and ibid. 45, 1-9 (1983; Zbl 0505.60016)]. In this paper, the theory is applied to the biological age dependent half-life of radioactive iodine in man; the data of M. J. Cook and W. S. Snyder [Age dependence of the biological half-life of iodine and cesium in man. ORNL- 3849, 190-193 (1965)] is used. The intake of radioactive iodine and its retention subsequently is studied.

MSC:

92C50 Medical applications (general)
60C05 Combinatorial probability
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Anderson, K. and V. R. Uppuluri 1976. ”A Polya Urn Scheme.” Unpublished.
[2] Berg, S. 1985. ”urn Models.” InEncyclopedia of Statistical Sciences, Vol. 6, S. Kotz and N. L. Johnson (eds) New York: John Wiley.
[3] Bernard, S. R. 1977. ”An Urn Model Study of Variability Within a Compartment.”Bull. math. Biol. 39, 463–470. · Zbl 0381.60070
[4] 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.
[5] Johnson, N. L. and S. Kotz. 1970.Continuous Univeriate Distribution, Vol. 1. New York: John Wiley. · Zbl 0213.21101
[6] – and –. 1977.Urn Models and Their Application, New York: John Wiley · Zbl 0352.60001
[7] Shenton, L. R. 1981. ”A Reinforcement Depletion Urn Problem–I: Basic Theory.”Bull. math. Biol.,43, 327–340. · Zbl 0455.60016
[8] –. 1983. ”A Reinforcement Depletion Urn Problem–II: Application and Generalization.”Bull. math. Biol.,45, 1–9. · Zbl 0505.60016
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.