Formulation and Testing of a Compartmental Model for Calcium Metabolism in Man

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Abstract
A 2-compartment model was postulated to describe the kinetics of an injected tracer (Ca47) in 10 subjects. The solution of the equations of the above kinetic system, performed on a digital computer, determines the compartment sizes and the transfer constants between them. Further, the standard deviation of these values are also calculated to give a quantitative measure of the reliability of the measured parameters. All available data: plasma, urine, feces, whole-body counting data and an externally-counted bone compartment, were utilized to obtain a unique solution of the kinetic data. The solution obtained was shown to be consistent mathematically and compatible with physiological data.