A dose-response model for teratological experiments involving quantal responses. 1985

K Rai, and J Van Ryzin

This paper introduces a dose-response model for teratological quantal response data where the probability of response for an offspring from a female at a given dose varies with the litter size. The maximum likelihood estimators for the parameters of the model are given as the solution of a nonlinear iterative algorithm. Two methods of low-dose extrapolation are presented, one based on the litter size distribution and the other a conservative method. The resulting procedures are then applied to a teratological data set from the literature.

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D011247 Pregnancy The status during which female mammals carry their developing young (EMBRYOS or FETUSES) in utero before birth, beginning from FERTILIZATION to BIRTH. Gestation,Pregnancies
D011336 Probability The study of chance processes or the relative frequency characterizing a chance process. Probabilities
D004787 Environmental Pollution Contamination of the air, bodies of water, or land with substances that are harmful to human health and the environment. Pollution, Environmental,Soil Pollution,Pollution, Soil
D005260 Female Females
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000014 Abnormalities, Drug-Induced Congenital abnormalities caused by medicinal substances or drugs of abuse given to or taken by the mother, or to which she is inadvertently exposed during the manufacture of such substances. The concept excludes abnormalities resulting from exposure to non-medicinal chemicals in the environment. Drug-Induced Abnormalities,Abnormalities, Drug Induced,Abnormality, Drug-Induced,Drug Induced Abnormalities,Drug-Induced Abnormality
D001699 Biometry The use of statistical and mathematical methods to analyze biological observations and phenomena. Biometric Analysis,Biometrics,Analyses, Biometric,Analysis, Biometric,Biometric Analyses
D013723 Teratogens An agent that causes the production of physical defects in the developing embryo. Embryotoxins,Fetotoxins,Teratogen

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