Interpretation of Tracer Data Significance of the Number of Terms in Specific Activity Functions

Abstract

It has already been shown that the number of pools in an open system in the steady state cannot be determined from the number of exponential terms in the specific activity function of a pool, even if the data were free from experimental error. However, some information is conveyed by the number of exponential terms. The information is different depending upon whether the data are obtained from the pool into which the tracer is introduced or from another pool. In the latter case, the number of exponential terms is shown to indicate the maximum number of intermediate pools involved in the shortest path of transfer of material from the injected pool to the pool in question. With regard to the former case, this paper is restricted to functions with two exponential terms and shows which systems of n pools (n ≥ 2) are consistent with such data. Consequently, biexponential experimental curves can be interpreted in terms of models consisting of an unrestricted number of pools in which each pool is defined in terms of fast mixing. The generalization to cases of functions with more than two exponential terms can be carried out in a similar manner