A dose-response model incorporating nonlinear kinetics.

J Van Ryzin; K Rai

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PubMed · 3567309

A dose-response model incorporating nonlinear kinetics.

J Van Ryzin·K Rai

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Abstract

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.

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Animals DDT Dose-Response Relationship, Drug Environmental Exposure Humans Kinetics Mathematics Models, Theoretical Poisons Risk Saccharin Statistics as Topic Toxicology Vinyl Chloride Journal Article Research Support, U.S. Gov't, P.H.S.

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J Van Ryzin, K Rai. 1987. A dose-response model incorporating nonlinear kinetics.. https://pubmed.ncbi.nlm.nih.gov/3567309/

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