The regulation of noncancer toxicants, including neurotoxicants, has u
sually been based upon a reference dose (allowable daily intake). A re
ference dose is obtained by dividing a no-observed-effect level by unc
ertainty (safety) factors to account for intraspecies and interspecies
sensitivities to a chemical. It is assumed that the risk at the refer
ence dose is negligible, but no attempt generally is made to estimate
the risk at the reference dose. A procedure is outlined that provides
estimates of risk as a function of dose. The first step is to establis
h a mathematical relationship between a biological effect and the dose
of a chemical. Knowledge of biological mechanisms and/or pharmacokine
tics can assist in the choice of plausible mathematical models. The ma
thematical model provides estimates of average responses as a function
of dose. Secondly, estimates of risk require selection of a distribut
ion of individual responses about the average response given by the ma
thematical model. In the case of a normal or lognormal distribution, o
nly an estimate of the standard deviation is needed. The third step is
to define an adverse level for a response so that the probability (ri
sk) of exceeding that level can be estimated as a function of dose. Be
cause a firm response level often cannot be established at which adver
se biological effects occur, it may be necessary to at least establish
an abnormal response level that only a small proportion of individual
s would exceed in an unexposed group. That is, if a normal range of re
sponses can be established, then the probability (risk) of abnormal re
sponses can be estimated. In order to illustrate this process, measure
s of the neurotransmitter serotonin and its metabolite 5-hydroxyindole
acetic acid in specific areas of the brain of rats and monkeys are ana
lyzed after exposure to the neurotoxicant methylene-dioxymethamphetami
ne. These risk estimates are compared with risk estimates from the qua
ntal approach in which animals are classified as either abnormal or no
t depending upon abnormal serotonin levels.