Tracer-to-tracee ratio for analysis of stable isotope tracer data: link with radioactive kinetic formalism

A kinetic formalism for the analysis of stable isotope transient tracer data is developed by establishing the link with the formalism available for radioactive tracer data. The crucial variable is the tracer-to-tracee ratio. By expressing the measurements in terms of this ratio, the conventional kinetic formalism used for radioactive data can be applied to estimate noncompartmental parameters using stable isotope tracer data. The tracer-to-tracee ratio also plays an important role in compartmental modeling. By considering the tracer masses in the compartments as state variables the system-experiment model can be written in a format analogous to that usually adopted for the radioactive tracer. Finally, it is shown that the tracer-to-tracee ratio also plays a role in a test of the endogenous steady-state assumption.