A general algorithm for radioactive decay with branching and loss from a medium

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Description

Many areas in the field of health physics require evaluation of the change of radionuclide quantity in a medium with time. A general solution to first-order compartmental models is presented in this paper for application to systems consisting of one physical medium that contains any number of radionuclide decay chain members. The general analytical solution to the problem is first described mathematically, and then extended to four applications: (1) evaluation of the quantity of radionuclides as a function of time, (2) evaluation of the time integral of the quantity during a time period, (3) evaluation of the amount in a ... continued below

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9 p.

Creation Information

Strenge, D.L. July 1, 1995.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

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  • Pacific Northwest Laboratory
    Publisher Info: Pacific Northwest Lab., Richland, WA (United States)
    Place of Publication: Richland, Washington

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Description

Many areas in the field of health physics require evaluation of the change of radionuclide quantity in a medium with time. A general solution to first-order compartmental models is presented in this paper for application to systems consisting of one physical medium that contains any number of radionuclide decay chain members. The general analytical solution to the problem is first described mathematically, and then extended to four applications: (1) evaluation of the quantity of radionuclides as a function of time, (2) evaluation of the time integral of the quantity during a time period, (3) evaluation of the amount in a medium as a function of time following deposition at a constant rate, and (4) evaluation of the time integral of the amount in a medium after deposition at a constant rate for a time. The solution can be applied to any system involving physical transfers from the medium and radioactive chain decay with branching in the medium. The general solution is presented for quantities expressed in units of atoms and activity. Unlike many earlier mathematical solutions, this solution includes chain decay with branching explicitly in the equations.

Physical Description

9 p.

Notes

INIS; OSTI as DE95016813

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  • Joint meeting of the American Association of Physicists in Medicine and the Health Physics Society, Boston, MA (United States), 23-27 Jul 1995

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  • Other: DE95016813
  • Report No.: PNL-SA--25608
  • Report No.: CONF-950702--2
  • Grant Number: AC06-76RL01830
  • Office of Scientific & Technical Information Report Number: 106586
  • Archival Resource Key: ark:/67531/metadc625767

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  • July 1, 1995

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 7, 2016, 2:44 p.m.

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Strenge, D.L. A general algorithm for radioactive decay with branching and loss from a medium, article, July 1, 1995; Richland, Washington. (digital.library.unt.edu/ark:/67531/metadc625767/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.