Although many laboratory studies are conducted with the dose level hel
d constant for the duration of the experimental period, human exposure
to toxic substances can vary widely over time. In this article we dis
cuss methods for toxicologic risk assessment with time-dependent expos
ure patterns. In particular, methods for carcinogenic risk assessment
under both the multistage and two-stage models are reviewed. It is sho
wn that the use of a lifetime average daily dose or LADD can overestim
ate or underestimate the actual lifetime risk associated with time-dep
endent exposure patterns. II is also shown that there exists a lifetim
e equivalent constant dose or LECD that leads to the same lifetime ris
k as the actual time dependent exposure pattern. The ratio C = LADD/LE
CD thus provides a measure of accuracy of the LADD. Several applicatio
ns are summarized to illustrate the application of currently available
risk assessment methods for time-dependent exposures.