Most statistical risk assessment models assume that equal doses, measu
red on a scale such as mg/kg/day, create equal tumor risks. This equiv
alent dose metric (EDM) hypothesis allows risks to be extrapolated fro
m high concentrations to low concentrations and from one species, sex,
and strain to another, since it implies that all administered dose hi
stories corresponding to the same total dose create the same risk. Thi
s paper tests the EDM hypothesis using data on tumor rates in B6C3F(1)
mice administered isoprene via inhalation. Its major conclusion is th
at the EDM hypothesis does not hold for isoprene. For example, it appe
ars that exposure concentration has a greater impact on tumor rates th
an weeks of exposure. To predict tumor probabilities, the time pattern
of dose administration must be considered, The asymmetric effects of
concentration, hours-per-day, and number of days of exposure on tumor
risks imply that complex dynamic risk models may be needed to accurate
ly describe dose-time-response relations. The traditional concept of a
dose-response relation as a static curve relating a numerical summary
of dose to a numerical summary of response probability is probably no
t predictively useful for chemicals such as isoprene, and extrapolatio
ns of risk based on the EDM hypothesis could be misleading for such ch
emicals.