Radiation cancer risks are typically determined by the use of simple statis
tical descriptions of epidemiological data. It is important in risk assessm
ent in general, however, to attempt to incorporate as much biological infor
mation into the risk models as possible. We illustrate this by presenting a
biologically-based linear-quadratic-exponential (LQE) incidence rate model
for radiation-induced chronic myeloid leukemia (CML). The model consists o
f a linear-quadratic dose-response for the induction of BCR-ABL, a waiting
time distribution between BCR-ABL formation and detection of CML, and an ex
ponential cell-killing term that multiplies both the background and induced
incidence rates. Using data exclusive of the A-bomb survivor cohort, Bayes
ian priors are defined for each of the nine parameters in this LQE model. T
he priors are based on chromosomal translocations in lymphocytes, hematopoi
etic stem cell survival experiments, CML waiting times in women irradiated
for benign disease, the background CML incidence rate in the U.S. populatio
n, and genomic DNA target sizes of BCR and ABL. Fixing three of the LQE mod
el parameters to the means of their priors, maximum likelihood estimates of
the remaining six parameters were obtained using A-bomb survivor incidence
data for Hiroshima males. The likelihood estimates and the corresponding s
ix prior distributions, both approximated as multivariate normal, were then
used to form Bayesian posteriors for the six parameters not fixed. With th
ese posteriors the LQE model yields Q gamma*=0.0042 Gy(-l) where Q gamma* i
s the upper 95% confidence bound of the lifetime CML risk per person-gray i
n the Limit of low doses of gamma-rays. This value is slightly less than Q
gamma* =0.0049 Gy(-1) obtained from likelihood estimates of the LPE paramet
ers, and substantially less than Q gamma*=0.0158 Gy(-l) obtained for a simp
le statistical model linear in dose for kermas less than 4 Gy.