Abstract Chromosomal aberrations rapidly disappear from populations of dividing cells, but little is known about the details of the process. One may ask, for example, whether a cell with an acentric fragment is virtually certain to die after the first mitosis or whether it has a high probability of surviving to the second. Some recent data on aberrations in cultured human lymphocytes lead to estimates that fragments (and presumably the cells containing them) survive to the next mitosis about 30% of the time and dicentric chromosomes about 50%. These estimates were made without regard for the proliferation of normal cells, however, and so must be somewhat in error. In fact, when cell proliferation is taken into account, the most likely value of survival of the fragment itself is about 80% (when both daughter cells are considered). Probable ranges of this value and of the other parameters considered are presented. It is hoped that this explicit formulation of a mathematical model will encourage further experimental examination of the effect of various aberrations upon cell populations.