Abstract
Using in-vivo lineage tracing data we quantified clonal expansion as well as proliferation and differentiation of the Lgr5-positive stem cell population in pyloric gastric glands. Fitting clone expansion models, we estimated that there are five effective Lgr5-positive cells able to give rise to monoclonal glands by replacing each other following a pattern of neutral drift dynamics. This analysis is instrumental to assess stem cell performance; however, stem cell proliferation is not quantified by clone expansion analysis. We identified a suitable mathematical model to quantify proliferation and differentiation of the Lgr5-positive population. As expected for populations in steady-state, the proliferation rate of the Lgr5-positive population was equal to its rate of differentiation. This rate was significantly faster than the rate at which effective cells are replaced, estimated by modelling clone expansion/contraction. This suggests that the majority of Lgr5-positive cell divisions serve to renew epithelial cells and only few result in the effective replacement of a neighbour to effect expansion to the entire gland. The application of the model under altered situations with uncoupled differentiation and proliferation was demonstrated. This methodology represents a valuable tool for quantifying stem cell performance in homeostasis and importantly for deciphering altered stem cell behaviour in disease.