A Mathematical Model of Radiation and Population of Cell Colonies—I

Two-Dimensional Random-Walk Model

Richard Ernest Bellman, Jonathan Elkind, Bella Kotkin

ResearchPublished 1963

A mathematical model designed to study the effect of radiation on the population of cell colonies for cancer research. It is a simple model that follows a cell through a two-dimension random walk, where one dimension represents state of growth and the other, state of health or number of sites damaged. The cell is subjected to radiation exposure at prescribed times and doses, which can be varied. The cell will eventually either divide or become sterile. An IBM 7090 FORTRAN program of the Monte Carlo procedure presents a statistical summary of results at the absorbing barrier. 17 pp.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1963
  • Print Format: Paperback
  • Paperback Pages: 17
  • Paperback Price: $20.00
  • DOI: https://doi.org/10.7249/RM3665
  • Document Number: RM-3665-NIH

Citation

RAND Style Manual
Bellman, Richard Ernest, Jonathan Elkind, and Bella Kotkin, A Mathematical Model of Radiation and Population of Cell Colonies—I: Two-Dimensional Random-Walk Model, RAND Corporation, RM-3665-NIH, 1963. As of September 23, 2024: https://www.rand.org/pubs/research_memoranda/RM3665.html
Chicago Manual of Style
Bellman, Richard Ernest, Jonathan Elkind, and Bella Kotkin, A Mathematical Model of Radiation and Population of Cell Colonies—I: Two-Dimensional Random-Walk Model. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3665.html. Also available in print form.
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