Formation of the BCR-ABL chromosomal translocation t(9;22)(q34;q11) is essential to the genesis of chronic myeloid leukemia (CML). An interest in the dose-response of radiation induced CML therefore leads naturally to an interest in the dose-response of BCR-ABL formation. To predict the BCR-ABL dose-response to low-linear energy transfer (LET) ionizing radiation, three models valid over three different dose ranges are examined: the first for doses greater than 80 Gy, the second for doses less than 5 Gy and the third for doses greater than 2 Gy. The first of the models, due to Holley and Chatterjee, ignores the accidental binary eurejoining of DNA double-strand break (DSB) free ends ('eurejoining' refers to the accidental restitution of DSB free ends with their own proper mates). As a result, the model is valid only in the limit of high doses. The second model is derived directly from cytogenetic data. This model has the attractive feature that it implicitly accounts for single-track effects at low doses. The third model, based on the Sax-Markov binary eurejoining/misrejoining (SMBE) algorithm, does not account for single-track effects and is therefore limited to moderate doses greater than approximately 2 Gy. Comparing the second model to lifetime excess CML risks expected after 1 Gy, estimates of the number of hematopoietic stem cells capable of causing CML were obtained for male and female atomic bomb survivors in Hiroshima and Nagasaki. The stem cell number estimates lie in the range of 5 x 10(7)-3 x 10(8) cells.