TY - JOUR PY - 1987// TI - A dose-response model incorporating nonlinear kinetics JO - Biometrics A1 - Van Ryzin, J. A1 - Rai, K. SP - 95 EP - 105 VL - 43 IS - 1 N2 - This paper introduces a dose-response model for toxic quantal response data based on hit theory applied to the dose unit as transformed by a nonlinear kinetic equation. When spontaneous background response is included in the model, the resulting dose-response model has four parameters. The maximum likelihood estimators and their large-sample properties are given. Likelihood ratio tests of interest are developed, including one for whether the model is one-hit in the transformed dose and one to check whether nonlinear kinetics is operative. The use of the model for low-dose extrapolation is presented. Finally, the procedures developed are illustrated on data from three animal carcinogenicity bioassays that show, respectively, concave, linear, and convex dose-response curves in the observed data.

Language: en

LA - en SN - 0006-341X UR - http://dx.doi.org/ ID - ref1 ER -