As cells grow and divide under a given environment, they become crowded and
resources are limited, as seen in bacterial biofilms and multicellular
aggregates. These cells often show strong interactions through exchanging
chemicals, as in quorum sensing, to achieve mutualism. Here, to achieve stable
division of labor, three properties are required. First, isogenous cells
differentiate into several types. Second, this aggregate of distinct cell types
shows better growth than that of isolated cells, by achieving division of
labor. Third, this cell aggregate is robust in the number distribution of
differentiated cell types. We here address how cells acquire the ability of
cell differentiation and division of labor simultaneously, which is also
connected with the robustness of a cell society. For this purpose, we developed
a dynamical-systems model of cells consisting of chemical components with
intracellular catalytic reaction dynamics. The reactions convert external
nutrients into internal components for cellular growth, and the divided cells
interact via chemical diffusion. We found that cells sharing an identical
catalytic network spontaneously differentiate via induction from cell-cell
interactions, and then achieve division of labor, enabling a higher growth rate
than that in the unicellular case. This symbiotic differentiation emerged for a
class of reaction networks with limited resources and strong cell-cell
interactions. Then, robustness in the cell type distribution was achieved,
while instability of collective growth could emerge even among the cooperative
cells when the internal reserves of products were dominant. The present
mechanism is simple and general as a natural result of interacting cells with
resource limitation, and is consistent with the observed behaviors and forms of
several aggregates of unicellular organisms.Comment: 14 pages, 6 figure