CELL-DIVISION, DIFFERENTIATION AND DYNAMIC CLUSTERING

A novel mechanism for cell differentiation is proposed, based on the dynamic clustering in a globally coupled nonlinear system. A simple model with metabolic reaction, active transport of chemicals from media, and cell division is found to show three successive stages with the growth of the number of cells; coherent growth, dynamic clustering, and fixed cell differentiation. At the last stage, disparity in activities, germ line segregation, somatic cell differentiation, and homeochaotic stability against external perturbation are found. Our results, providing a simple interpretation of the experiments of the preceding paper, imply that cell differentiation can occur without a spatial pattern. From dynamical systems viewpoint, the new concept of ''open chaos'' is proposed, as a novel and general scenario for systems with growing numbers of elements, also seen in economics and sociology.