Use of residence time moments in compartmental analysis

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Abstract
Residence time moments, particulary mean residence times, can be very useful in the modeling and kinetic analysis of physiological systems. They are defined and illustrated, and their practice utility is then explored by comparing the model formulation based on these moments with three alternative formulations: component half-lives, compartmental model rate coefficients, and multiexponential model coefficients and exponents. The residence time moment formulation is shown to have several advantages: 1) a smaller number of parameters are usually needed to describe a biological system; 2) they have a clear physical interpretation; 3) their statistical "power" to detect certain treatment differences is greater; and 4) they are computationally simpler in many situations.