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This paper presents a new stochastic model to describe the progression of cells subject to radiation damage, through their cell cycles. The expected number of cells in various phases in the transient and steady state are obtained. Several interesting cases like quiescence in tumor cell population, effects of split dose and holding time on cell survival are also discussed using the developed model. The phase structured model offers quiescence and variable cell cycle time as contributing factors for the retardation of cell growth and the ultimate cell population reaching a steady state.