A stochastic approach for the interpretation of single pulse experiments in morphological multicompartments of renewing and exponentially growing cell populations

Abstract

A general approach for the interpretation of single pulse experiments in multicompartment systems is presented. It allows an extension of the classical single compartment Barret's methodology, and has been detailed in the pipeline model case to show its capabilities. FLM, FLC, grain count curves, labelling indices and compartment size ratios of each compartment, are fitted into a coherent scheme that fully describes the statistical aspects of the phase durations including possible losses. It is shown that if the compartments are identical, irrespective of the feedback coupling between them, the system may be treated as a single compartment. It is also shown that the FLC information is necessary to identify the existence of losses in the system, and how to correct the “apparent” transit times if losses are present. The pipeline model is treated and a suggestion is made to reconcile the “British” and “American” interpretations of the erythroid system. As a corollary, simple formulae are derived in the deterministic case through a coupling matrix describing the interaction between compartments. Computer codes are described and have been implemented in the J.E.N. Thermoecology Laboratory.