Abstract
The calculation of rates of entry of material into an open system of multiple pools in the steady state from the specific activities of end products, which may be derived from several pools, is described. This analysis may be applied to estimate the rates of secretion of steroid hormones from the specific activities of urinary metabolites which may have various hormones as common precursors. In a previous publication (Gurpideet al., 1963) formulae have been presented by which secretory rates could be calculated after a single injection of the tracers assuming that each of the urinary metabolites was uniquely derived from one of the pools in the system. In the present article similar formulae were derived without this assumption. Consequently, it is shown that, under certain circumstances, non-uniquely derived metabolites can be used to estimate secretory rates, and that it may be unnecessary to consider the pathways of conversion of the hormones to the metabolites or the sites where these conversion occur.
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This work was supported in part by Grant AM-00110 of the National Institutes of Health of the United States Public Health Service.
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Gurpide, E., Mann, J. Estimation of secretory rates of hormones from the specific activities of metabolites which have multiple secreted precursors. Bulletin of Mathematical Biophysics 27, 389–406 (1965). https://doi.org/10.1007/BF02476844
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DOI: https://doi.org/10.1007/BF02476844