Mathematical modelling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells I.

We study the proliferation and differentiation of stem cells in the Drosophila posterior midgut epithelium, which mainly consists of intestinal stem cells (ISCs); semi-differentiated cells, i.e. enteroblasts (EBs); and two types of fully differentiated cells, i.e. enteroendocrine cells (EEs) and enterocytes (ECs). The cellular system of ISCs is controlled by Wnt and Notch signalling pathways. In this article, we experimentally show that EBs are not capable of efficiently differentiating into ECs in the absence of Wnt signalling. On the basis of the experimental results and known facts, we propose a scheme and a simple ordinary differential equation (ODE) model for the proliferation and differentiation of ISCs. This is a first step towards understanding the universal mechanism for the maintenance of the cellular system of tissue stem cells controlled by signalling pathways.