Journal of Applied Physiology
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J Appl Physiol 40: 458-463, 1976;
8750-7587/76 $5.00
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Journal of Applied Physiology, Vol 40, Issue 3 458-463, Copyright © 1976 by American Physiological Society

ARTICLES

A method to obtain infusion schedules for prescribed blood concentration time courses

C. S. Patlak and K. D. Pettigrew

It is sometimes desirable to obtain a specified blood level which obeys a prescribed mathematical form. Following an approach based on impulse analysis via Laplace Transform techniques, a general method for an input injection schedule which will achieve this goal is derived. Specific infusion schedules are given which attain blood levels that are constant, increase linearly, decay exponentially, and increase exponentially. Further, simpler approximate infusion schedules are also derived whose outputs achieve the desired function after a short time. Two illustrative experimental examples-one for [14C]EDTA-Ca in anesthetized rhesus monkeys and the other for 2-deoxy-D-[1-14C]glucose in the conscious rat-are presented in detail. The assumptions are discussed and an error analysis is performed.


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