In acute toxicity testing, organisms are continuously exposed to progr
essively increasing concentrations of a chemical and deaths of test or
ganisms are recorded at several selected times. The results of the tes
t are traditionally summarized by a dose-response curve, and the time
course of effect is usually ignored for lack of a suitable model. A mo
del which integrates the combined effects of dose and exposure duratio
n on response is derived from the biological mechanisms of aquatic tox
icity, and a statistically efficient approach for estimating acute tox
icity by fitting the proposed model is developed in this paper. The pr
oposed procedure has been computerized as software and a typical data
set is used to illustrate the theory and procedure. The new statistica
l technique is also tested by a data base of a variety of chemical and
fish species.