Abstract
A mathematical model was derived for metabolic systems in which a precursor is converted into an intermediate by a lst-order reaction, and the intermediate is then conjugated by 2 processes, one of which is lst-order, and the other lst-order below a certain body level and 0-order above that level. This model was shown to apply to the metabolic fate of certain benzoic acids and phenols and certain of their percursors. Effects of variation in dose level, nuclear substitution of aromatic compounds, and the composition of the diet were discussed. Various data obtained from 24 hr. studies were discussed in terms of the mathematical model.

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