Fluctuations in Tracer Amounts in a Compartmental System with a Markovian Transition Process

This communication considers a method for evaluating fluctuations in the integral type output of a linear time-invariant compartmental system with a Markovian transition process. First, we derived a mathematical formula to calculate variances and covariances of integral type. outputs, as with radioisotope data, when transition rates are known. Then, an estimate for the upper limits of variances and covariances, i.e., 1/2√initial dose, when the transition rates are not given beforehand, was introduced.