In risk assessment, evaluating a health effect at a duration of exposure th
at is untested involves assuming that equivalent multiples of concentration
(C) and duration (T) of exposure have: the same effect. The limitations of
this approach (attributed to F. Haber, Zur Geschichte des Gaskrieges [On t
he history of gas warfare], in Funf Vortrage aus den Jahren 1920-1923 [Five
lectures from the years 1920-1923], 1924, Springer, Berlin, pp. 76-92), ha
ve been noted in several studies. The study presented in this paper was des
igned to specifically look at dose-rate (C x T) effects, and it forms an id
eal case study to implement statistical models and to examine the statistic
al issues in risk assessment. Pregnant female C57BL/6J mice were exposed, o
n gestational day 7, to ethylene oxide (EtO) via inhalation for 1.5, 3;, or
6 h at exposures that result in C x T multiples of 2100 or 2700 ppm-hi EtO
was selected because of its short half-life, documented developmental toxi
city, and relevance to exposures that occur in occupational settings. Concu
rrent experiments were run with animals exposed to air for similar periods.
Statistical analysis using models developed to assess dose-rate effects re
vealed significant effects with respect to fetal death and resorptions, mal
formations, crown-to-rump length, and fetal weight. Animals exposed to shor
t, high exposures of EtO on day 7 of gestation were found to have more adve
rse effects than animals exposed to the same C x T multiple but at longer,
lower exposures. The implication for risk assessment is that applying Haber
's Law could potentially lead to an underestimation of risk at a shorter du
ration of exposure and an overestimation of risk at a longer duration of ex
posure. Further research, toxicological and statistical, are required to un
derstand the mechanism of the dose-rate effects, and how to incorporate the
mechanistic information into the risk assessment decision process.