Abstract
The total number of cells and the distribution of phenotypes are both robustly and spontaneously regulated in multicellular organisms. Cell-to-cell interactions are relevant for this regulation since their defects have been shown to result in irregular tissues and diseases. Here, we investigate a mathematical model of cell population dynamics with different types of cells interacting with each other. In a two phenotypes model, we derive both qualitative and quantitative conditions for the interaction network to regulate total population size of cells and their distribution of phenotypes. This result might contribute to a discovery of new interaction between cells.
