A Mathematical Model of Radiation and Population of Cell Colonies--I: Two-Dimensional Random-Walk Model.

by Richard Ernest Bellman, Jonathan Elkind, Bella Kotkin

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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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