A Three-Organ Drug Distribution Model Including the Kidney.

by John A. Jacquez, Bella Kotkin, Irwin Cooper, J. D. Buell

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The Bellman-Jacquez-Kalaba mathematical model of drug distribution was designed to investigate the effect of injecting an active chemical agent into the blood stream by studying the time course of the resulting drug concentrations throughout the body. In the initial studies of a two-organ being, where both organs were linked in parallel with the circulatory system, one of the organs represented an area of particular interest that was marked for selective localization and the other represented the remainder of the body. The model described in this memorandum includes a third organ, which performs certain functions of the kidney. The preliminary investigation is concerned with the effect of excretion on the concentrations of the drug in the body, rather than with a detailed model of the kidney itself. The Bellman-Jacquez-Kalaba mathematical model of drug distribution was designed to investigate the effect of injecting an active chemical agent into the blood stream by studying the time course of the resulting drug concentrations throughout the body. In the initial studies of a two-organ being, where both organs were linked in parallel with the circulatory system, one of the organs represented an area of particular interest that was marked for selective localization and the other represented the remainder of the body. The model described in this memorandum includes a third organ, which performs certain functions of the kidney. The preliminary investigation is concerned with the effect of excretion on the concentrations of the drug in the body, rather than with a detailed model of the kidney itself. 25 pp.

This report is part of the RAND Corporation research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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