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A mathematical model for nutrition in toxicology

Mercer L.P.; Behr S.M.; Carter J.

Nutrition Reports International 26(1): 115-120

1982

Nutritional status can have profound effects on the response of an organism to drugs or other chemicals. It would be useful to have a mathematical model which predicted drug response over a wide range of administration and variation in nutritional status of the host. The 2 principal models currently in use for the description and prediction of dose-response relationships are the log-dose transformation and the probit transformation. Both models are limited due to an inability to describe or predict responses over a wide range of doses and a lack of theoretical basis. The saturation kinetics model has mathematical significance in that it can describe a wider range of responses and biological significance in that it can be related to biological structure and function. The saturation kinetics model offers several new indexes of comparison for dose-response curves and definitions for commonly used terms such as efficacy and potency.

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