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The volumes of some compartment systems with sampling and loss from one compartment

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Abstract

If the concentrationc 1(t)=∑ n i=1 A i exp (−α i t) for one compartment, one presumes a linear catenaryn-compartment system without sinks and loss only from the same compartment, then the volumesV i , rate constantsk ij , and concentrationsc i (t) in each compartment can be determined in terms of theA i 's,A i ′s, α i ′s, the dose injectedD o and the partition coefficientsr ij =k ij /k ji . If the concentration would become uniform at equilibrium, then the total volume of distribution may be determined without knowledge ofr ij or restriction to catenary configuration.

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Bright, P.B. The volumes of some compartment systems with sampling and loss from one compartment. Bltn Mathcal Biology 35, 69–79 (1973). https://doi.org/10.1007/BF02558795

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